{"id":"https://openalex.org/W2017331399","doi":"https://doi.org/10.1103/physreve.49.5717","title":"Parametric resonances in synchrotrons with two rf systems","display_name":"Parametric resonances in synchrotrons with two rf systems","publication_year":1994,"publication_date":"1994-06-01","ids":{"openalex":"https://openalex.org/W2017331399","doi":"https://doi.org/10.1103/physreve.49.5717","mag":"2017331399","pmid":"https://pubmed.ncbi.nlm.nih.gov/9961897"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.49.5717","doi":"https://doi.org/10.1103/physreve.49.5717","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.49.5717","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042417723","display_name":"S.Y. Lee","orcid":"https://orcid.org/0000-0001-7153-0517","observed_orcids":["https://orcid.org/0000-0001-7153-0517"]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"S. Y. Lee","raw_affiliation_strings":["Fermilab, Box 500, Batavia, Illinois 60510","Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fermilab, Box 500, Batavia, Illinois 60510","institution_ids":["https://openalex.org/I1314696892"]},{"raw_affiliation_string":"Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","institution_ids":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"raw_affiliation_string":"The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","institution_ids":[]},{"raw_affiliation_string":"Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048329188","display_name":"D. D. Caussyn","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"D. D. Caussyn","raw_affiliation_strings":["Fermilab, Box 500, Batavia, Illinois 60510","Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fermilab, Box 500, Batavia, Illinois 60510","institution_ids":["https://openalex.org/I1314696892"]},{"raw_affiliation_string":"Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","institution_ids":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"raw_affiliation_string":"The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","institution_ids":[]},{"raw_affiliation_string":"Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108247887","display_name":"M. Ellison","orcid":"https://orcid.org/0000-0002-7212-7858","observed_orcids":["https://orcid.org/0000-0002-7212-7858"]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"M. Ellison","raw_affiliation_strings":["Fermilab, Box 500, Batavia, Illinois 60510","Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fermilab, Box 500, Batavia, Illinois 60510","institution_ids":["https://openalex.org/I1314696892"]},{"raw_affiliation_string":"Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","institution_ids":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"raw_affiliation_string":"The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","institution_ids":[]},{"raw_affiliation_string":"Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058454241","display_name":"K. Hedblom","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"K. Hedblom","raw_affiliation_strings":["Fermilab, Box 500, Batavia, Illinois 60510","Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fermilab, Box 500, Batavia, Illinois 60510","institution_ids":["https://openalex.org/I1314696892"]},{"raw_affiliation_string":"Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","institution_ids":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"raw_affiliation_string":"The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","institution_ids":[]},{"raw_affiliation_string":"Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055669238","display_name":"H. Huang","orcid":"https://orcid.org/0000-0003-1189-4874","observed_orcids":["https://orcid.org/0000-0003-1189-4874","https://orcid.org/0009-0009-7481-9709"]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"H. Huang","raw_affiliation_strings":["Fermilab, Box 500, Batavia, Illinois 60510","Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fermilab, Box 500, Batavia, Illinois 60510","institution_ids":["https://openalex.org/I1314696892"]},{"raw_affiliation_string":"Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","institution_ids":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"raw_affiliation_string":"The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","institution_ids":[]},{"raw_affiliation_string":"Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078746403","display_name":"D. Li","orcid":"https://orcid.org/0009-0009-2385-5152","observed_orcids":["https://orcid.org/0009-0009-2385-5152"]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"D. Li","raw_affiliation_strings":["Fermilab, Box 500, Batavia, Illinois 60510","Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fermilab, Box 500, Batavia, Illinois 60510","institution_ids":["https://openalex.org/I1314696892"]},{"raw_affiliation_string":"Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","institution_ids":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"raw_affiliation_string":"The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","institution_ids":[]},{"raw_affiliation_string":"Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050313058","display_name":"J.Y. Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"J. Y. Liu","raw_affiliation_strings":["Fermilab, Box 500, Batavia, Illinois 60510","Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fermilab, Box 500, Batavia, Illinois 60510","institution_ids":["https://openalex.org/I1314696892"]},{"raw_affiliation_string":"Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","institution_ids":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"raw_affiliation_string":"The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","institution_ids":[]},{"raw_affiliation_string":"Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108388624","display_name":"K.Y. Ng","orcid":"https://orcid.org/0000-0001-5843-1434","observed_orcids":["https://orcid.org/0000-0001-5843-1434"]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"K. Y. Ng","raw_affiliation_strings":["Fermilab, Box 500, Batavia, Illinois 60510","Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fermilab, Box 500, Batavia, Illinois 60510","institution_ids":["https://openalex.org/I1314696892"]},{"raw_affiliation_string":"Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","institution_ids":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"raw_affiliation_string":"The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","institution_ids":[]},{"raw_affiliation_string":"Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065827394","display_name":"A. Riabko","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"A. Riabko","raw_affiliation_strings":["Fermilab, Box 500, Batavia, Illinois 60510","Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fermilab, Box 500, Batavia, Illinois 60510","institution_ids":["https://openalex.org/I1314696892"]},{"raw_affiliation_string":"Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","institution_ids":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"raw_affiliation_string":"The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","institution_ids":[]},{"raw_affiliation_string":"Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114889263","display_name":"Yunxiang Yan","orcid":"https://orcid.org/0000-0002-1298-2190","observed_orcids":["https://orcid.org/0000-0002-1298-2190"]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]},{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["SE","US"],"is_corresponding":false,"raw_author_name":"Y. T. Yan","raw_affiliation_strings":["Fermilab, Box 500, Batavia, Illinois 60510","Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fermilab, Box 500, Batavia, Illinois 60510","institution_ids":["https://openalex.org/I1314696892"]},{"raw_affiliation_string":"Indiana University Cyclotron Facility, Indiana University, Bloomington, Indiana 47405","institution_ids":["https://openalex.org/I4210119109","https://openalex.org/I592451"]},{"raw_affiliation_string":"The Superconducting Super Collider Laboratory, 2550 Beckleymeade Avenue, Dallas, Texas 75237-3946","institution_ids":[]},{"raw_affiliation_string":"Uppsala University, The Svedberg Laboratory, Box 533, S-75121, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3434,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.87364517,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"6","first_page":"5717","last_page":"5721"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11367","display_name":"Particle accelerators and beam dynamics","score":0.7411999702453613,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11367","display_name":"Particle accelerators and beam dynamics","score":0.7411999702453613,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.03579999879002571,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.034299999475479126,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parametric-resonance","display_name":"parametric resonance","score":0.9869999885559082},{"id":"https://openalex.org/keywords/synchrotron","display_name":"synchrotron","score":0.9070000052452087},{"id":"https://openalex.org/keywords/phase-modulation","display_name":"phase modulation","score":0.8420000076293945},{"id":"https://openalex.org/keywords/resonance-islands","display_name":"resonance islands","score":0.8180000185966492},{"id":"https://openalex.org/keywords/poincare-surface-of-section","display_name":"Poincar\u00e9 surface of section","score":0.8500000238418579},{"id":"https://openalex.org/keywords/hamiltonian-systems","display_name":"Hamiltonian systems","score":0.7549999952316284},{"id":"https://openalex.org/keywords/time-dependent-perturbation-theory","display_name":"time-dependent perturbation theory","score":0.8820000290870667}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7429972290992737},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7219427227973938},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.586650013923645},{"id":"https://openalex.org/C164466805","wikidata":"https://www.wikidata.org/wiki/Q2632607","display_name":"Parametric oscillator","level":2,"score":0.5794508457183838},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.5655576586723328},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5061842799186707},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.4366135895252228},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2872702479362488},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2577972114086151},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.24637570977210999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2097640335559845},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1937325894832611},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13540613651275635},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1103/physreve.49.5717","doi":"https://doi.org/10.1103/physreve.49.5717","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.49.5717","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:9961897","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9961897","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2010859352","https://openalex.org/W2014260922","https://openalex.org/W2039909625","https://openalex.org/W2074095004","https://openalex.org/W2169674285","https://openalex.org/W2615469062"],"related_works":["https://openalex.org/W2597120921","https://openalex.org/W2000768025","https://openalex.org/W2102659534","https://openalex.org/W2072002991","https://openalex.org/W3003390965","https://openalex.org/W2970384375","https://openalex.org/W93308781","https://openalex.org/W3142185984","https://openalex.org/W7099165926","https://openalex.org/W1999496321"],"abstract_inverted_index":{"When":[0],"a":[1,18,34],"double":[2],"rf":[3],"system":[4],"is":[5,63],"subjected":[6],"to":[7],"sinusoidal":[8,75],"phase":[9,49],"modulation,":[10],"the":[11,15,55,58],"Poincar\\'e":[12],"surfaces":[13],"of":[14,21,29,36,54,60,69,72],"section":[16],"display":[17],"rich":[19],"spectrum":[20],"resonance":[22,31],"islands.":[23],"Stable":[24],"and":[25],"unstable":[26],"fixed":[27,61],"points":[28,62],"these":[30],"islands":[32],"form":[33],"tree":[35],"bifurcation":[37,59],"branches":[38],"which":[39],"can":[40],"be":[41],"explained":[42],"as":[43],"parametric":[44],"resonances":[45],"generated":[46],"by":[47],"external":[48],"modulation.":[50],"A":[51],"semianalytic":[52],"determination":[53],"condition":[56],"for":[57,65],"presented":[64],"an":[66],"autonomous":[67],"Hamiltonian":[68],"one":[70],"degree":[71],"freedom":[73],"with":[74],"time":[76],"dependent":[77],"perturbation.":[78]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}