{"id":"https://openalex.org/W7136845426","doi":"https://doi.org/10.1016/j.cnsns.2026.109899","title":"Zero time discontinuity mapping (ZDM) and Poincar\u00e9 discontinuity mapping (PDM) in a neighborhood of a regular grazing point of order <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si7.svg\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>k</mml:mi> <mml:mo>,</mml:mo> <mml:mspace width=\"0.16em\"/> <mml:mspace width=\"0.16em\"/> <mml:mi>k</mml:mi> <mml:mo>\u2265</mml:mo> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mspace width=\"0.16em\"/> <mml:mspace width=\"0.16em\"/> <mml:mi>k</mml:mi> <mml:mo>\u2208</mml:mo> <mml:mi mathvariant=\"double-struck\">N</mml:mi> </mml:mrow> </mml:math> in impacting hybrid systems","display_name":"Zero time discontinuity mapping (ZDM) and Poincar\u00e9 discontinuity mapping (PDM) in a neighborhood of a regular grazing point of order <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si7.svg\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>k</mml:mi> <mml:mo>,</mml:mo> <mml:mspace width=\"0.16em\"/> <mml:mspace width=\"0.16em\"/> <mml:mi>k</mml:mi> <mml:mo>\u2265</mml:mo> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mspace width=\"0.16em\"/> <mml:mspace width=\"0.16em\"/> <mml:mi>k</mml:mi> <mml:mo>\u2208</mml:mo> <mml:mi mathvariant=\"double-struck\">N</mml:mi> </mml:mrow> </mml:math> in impacting hybrid systems","publication_year":2026,"publication_date":"2026-03-16","ids":{"openalex":"https://openalex.org/W7136845426","doi":"https://doi.org/10.1016/j.cnsns.2026.109899"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.109899","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109899","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cnsns.2026.109899","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5129512284","display_name":"Maur\u00edcio Firmino Silva Lima","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Maur\u00edcio Firmino Silva Lima","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100029852","display_name":"Tiago Rodrigo Perdig\u00e3o","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tiago Rodrigo Perdig\u00e3o","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5129512284"],"corresponding_institution_ids":[],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":{"value":3460,"currency":"USD","value_usd":3460},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.90250668,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"159","issue":null,"first_page":"109899","last_page":"109899"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.1386999934911728,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.1386999934911728,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.13349999487400055,"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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.1193000003695488,"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/discontinuity","display_name":"Discontinuity (linguistics)","score":0.8057000041007996},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.49140000343322754},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.47450000047683716},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42100000381469727},{"id":"https://openalex.org/keywords/zero-order","display_name":"Zero order","score":0.3253999948501587}],"concepts":[{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.8057000041007996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6571000218391418},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.49140000343322754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4830999970436096},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.47450000047683716},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.45559999346733093},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42100000381469727},{"id":"https://openalex.org/C2993784581","wikidata":"https://www.wikidata.org/wiki/Q8069600","display_name":"Zero order","level":3,"score":0.3253999948501587},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.30970001220703125},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.27459999918937683}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.109899","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109899","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.cnsns.2026.109899","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.109899","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W965103837","https://openalex.org/W2030450697","https://openalex.org/W2031604902","https://openalex.org/W4415128532"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-20T20:47:17.329874","created_date":"2026-03-17T00:00:00"}