{"id":"https://openalex.org/W2160615979","doi":"https://doi.org/10.1142/s0218127411029690","title":"MULTIBREATHER AND VORTEX BREATHER STABILITY IN KLEIN\u2013GORDON LATTICES: EQUIVALENCE BETWEEN TWO DIFFERENT APPROACHES","display_name":"MULTIBREATHER AND VORTEX BREATHER STABILITY IN KLEIN\u2013GORDON LATTICES: EQUIVALENCE BETWEEN TWO DIFFERENT APPROACHES","publication_year":2011,"publication_date":"2011-07-08","ids":{"openalex":"https://openalex.org/W2160615979","doi":"https://doi.org/10.1142/s0218127411029690","mag":"2160615979"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127411029690","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411029690","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1006.0346","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"J. CUEVAS","orcid":null},"institutions":[{"id":"https://openalex.org/I149588736","display_name":"Technological Educational Institute of Central Macedonia","ror":"https://ror.org/01mw24p94","country_code":"GR","type":"education","lineage":["https://openalex.org/I149588736"]},{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]},{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES","GR","US"],"is_corresponding":false,"raw_author_name":"J. CUEVAS","raw_affiliation_strings":["Nonlinear Physics Group of the University of Sevilla, Departamento de F\u00edsica Aplicada I, Escuela Polit\u00e9cnica Superior, C/Virgen de \u00c1frica 7, 41011 Sevilla, Spain","Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515","Department of Civil Engineering, Technological Educational Institute of Serres, 62124 Serres, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Physics Group of the University of Sevilla, Departamento de F\u00edsica Aplicada I, Escuela Polit\u00e9cnica Superior, C/Virgen de \u00c1frica 7, 41011 Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"Department of Civil Engineering, Technological Educational Institute of Serres, 62124 Serres, Greece","institution_ids":["https://openalex.org/I149588736"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089986219","display_name":"V. Koukouloyannis","orcid":"https://orcid.org/0000-0002-0509-6561"},"institutions":[{"id":"https://openalex.org/I149588736","display_name":"Technological Educational Institute of Central Macedonia","ror":"https://ror.org/01mw24p94","country_code":"GR","type":"education","lineage":["https://openalex.org/I149588736"]},{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]},{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["GR","US"],"is_corresponding":false,"raw_author_name":"V. KOUKOULOYANNIS","raw_affiliation_strings":["Department of Civil Engineering and Department of Mechanical Engineering, Technological Educational Institute of Serres, 62124 Serres, Greece","Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515","Department of Physics, Section of Astrophysics, Astronomy and Mechanics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering and Department of Mechanical Engineering, Technological Educational Institute of Serres, 62124 Serres, Greece","institution_ids":["https://openalex.org/I149588736"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"Department of Physics, Section of Astrophysics, Astronomy and Mechanics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054719860","display_name":"P. G. Kevrekidis","orcid":"https://orcid.org/0000-0002-7714-3689"},"institutions":[{"id":"https://openalex.org/I149588736","display_name":"Technological Educational Institute of Central Macedonia","ror":"https://ror.org/01mw24p94","country_code":"GR","type":"education","lineage":["https://openalex.org/I149588736"]},{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]},{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["GR","US"],"is_corresponding":false,"raw_author_name":"P. G. KEVREKIDIS","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003-4515, USA","Department of Civil Engineering, Technological Educational Institute of Serres, 62124 Serres, Greece","Department of Physics, Section of Astrophysics, Astronomy and Mechanics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003-4515, USA","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"Department of Civil Engineering, Technological Educational Institute of Serres, 62124 Serres, Greece","institution_ids":["https://openalex.org/I149588736"]},{"raw_affiliation_string":"Department of Physics, Section of Astrophysics, Astronomy and Mechanics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050712457","display_name":"Juan F. R. Archilla","orcid":"https://orcid.org/0000-0001-6583-6114"},"institutions":[{"id":"https://openalex.org/I149588736","display_name":"Technological Educational Institute of Central Macedonia","ror":"https://ror.org/01mw24p94","country_code":"GR","type":"education","lineage":["https://openalex.org/I149588736"]},{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]},{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES","GR","US"],"is_corresponding":false,"raw_author_name":"J. F. R. ARCHILLA","raw_affiliation_strings":["Nonlinear Physics Group of the University of Sevilla, Departamento de F\u00edsica Aplicada I, ETSI Inform\u00e1tica, Avda. Reina Mercedes s/n, 41012 Sevilla, Spain","Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515","Department of Civil Engineering, Technological Educational Institute of Serres, 62124 Serres, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Physics Group of the University of Sevilla, Departamento de F\u00edsica Aplicada I, ETSI Inform\u00e1tica, Avda. Reina Mercedes s/n, 41012 Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"Department of Civil Engineering, Technological Educational Institute of Serres, 62124 Serres, Greece","institution_ids":["https://openalex.org/I149588736"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8847,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.86555241,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"21","issue":"08","first_page":"2161","last_page":"2177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":1.0,"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/T11575","display_name":"Nonlinear Photonic Systems","score":1.0,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12612","display_name":"Strong Light-Matter Interactions","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/breather","display_name":"Breather","score":0.9344990253448486},{"id":"https://openalex.org/keywords/floquet-theory","display_name":"Floquet theory","score":0.756117582321167},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.528383195400238},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5254901051521301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5234841108322144},{"id":"https://openalex.org/keywords/linear-stability","display_name":"Linear stability","score":0.5100377202033997},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5072843432426453},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.5029224753379822},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4202152490615845},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3834517002105713},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.37063395977020264},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36963969469070435},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3546534776687622},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3192233443260193},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17657798528671265}],"concepts":[{"id":"https://openalex.org/C74455749","wikidata":"https://www.wikidata.org/wiki/Q5254599","display_name":"Breather","level":3,"score":0.9344990253448486},{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.756117582321167},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.528383195400238},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5254901051521301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5234841108322144},{"id":"https://openalex.org/C43466630","wikidata":"https://www.wikidata.org/wiki/Q17098945","display_name":"Linear stability","level":3,"score":0.5100377202033997},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5072843432426453},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.5029224753379822},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4202152490615845},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3834517002105713},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37063395977020264},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36963969469070435},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3546534776687622},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3192233443260193},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17657798528671265},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1142/s0218127411029690","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411029690","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:scholarworks.umass.edu:20.500.14394/34141","is_oa":false,"landing_page_url":"https://hdl.handle.net/20.500.14394/34141","pdf_url":null,"source":{"id":"https://openalex.org/S4306402057","display_name":"Scholarworks (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"published","raw_type":"article"},{"id":"pmh:oai:arXiv.org:1006.0346","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1006.0346","pdf_url":"https://arxiv.org/pdf/1006.0346","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:dnet:idus________::8fc2ad83bf4d21ac4732d7eefed040b5","is_oa":true,"landing_page_url":"https://idus.us.es/handle/11441/24841","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:idus.us.es:11441/24841","is_oa":true,"landing_page_url":"https://idus.us.es/xmlui/handle/11441/24841","pdf_url":null,"source":{"id":"https://openalex.org/S4306401665","display_name":"Deposito de Investigacion Universidad de Sevilla (University of Seville)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1006.0346","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1006.0346","pdf_url":"https://arxiv.org/pdf/1006.0346","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323220","display_name":"Alexander S. Onassis Public Benefit Foundation","ror":"https://ror.org/017nq0d63"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W586041050","https://openalex.org/W604181985","https://openalex.org/W1533185225","https://openalex.org/W1967106916","https://openalex.org/W1967158655","https://openalex.org/W1970639164","https://openalex.org/W1975659352","https://openalex.org/W1980243964","https://openalex.org/W1982980220","https://openalex.org/W1990557380","https://openalex.org/W1994664602","https://openalex.org/W2007581014","https://openalex.org/W2007678244","https://openalex.org/W2008893816","https://openalex.org/W2024496227","https://openalex.org/W2035242779","https://openalex.org/W2039046909","https://openalex.org/W2041536341","https://openalex.org/W2045281739","https://openalex.org/W2049972037","https://openalex.org/W2052343776","https://openalex.org/W2055589264","https://openalex.org/W2060129644","https://openalex.org/W2063045829","https://openalex.org/W2071883534","https://openalex.org/W2086639470","https://openalex.org/W2092167646","https://openalex.org/W2094233646","https://openalex.org/W2101169008","https://openalex.org/W2106465020","https://openalex.org/W2120062331","https://openalex.org/W2134377498","https://openalex.org/W2139794367","https://openalex.org/W2162167518","https://openalex.org/W3099949882","https://openalex.org/W3113221786","https://openalex.org/W4240265704","https://openalex.org/W4241925472"],"related_works":["https://openalex.org/W1488175704","https://openalex.org/W4286849939","https://openalex.org/W3217258686","https://openalex.org/W2990905476","https://openalex.org/W2269714044","https://openalex.org/W1600977288","https://openalex.org/W2063161885","https://openalex.org/W2081252490","https://openalex.org/W2013803566","https://openalex.org/W2379051087"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,87],"revisit":[4],"the":[5,20,35,39,53,58,68,72,75,78,89,92,108,118,125],"question":[6],"of":[7,9,23,38,74,91,97,110,113,124],"stability":[8,41],"multibreather":[10],"configurations,":[11],"i.e.":[12],"discrete":[13,126],"breathers":[14,106],"with":[15,117],"multiple":[16],"excited":[17],"sites":[18],"at":[19],"anti-continuum":[21],"limit":[22],"uncoupled":[24],"oscillators.":[25],"We":[26],"present":[27],"two":[28],"methods":[29,93],"that":[30,65,123],"yield":[31],"quantitative":[32],"predictions":[33],"about":[34,71],"Floquet":[36],"multipliers":[37],"linear":[40],"analysis":[42],"around":[43],"such":[44],"exponentially":[45],"localized":[46],"in":[47,77,107,122],"space,":[48],"time-periodic":[49],"orbits,":[50],"based":[51],"on":[52],"Aubry":[54,79],"band":[55,80],"method":[56],"and":[57,63,103,121],"MacKay":[59],"effective":[60],"Hamiltonian":[61],"method,":[62],"prove":[64],"by":[66],"making":[67],"suitable":[69],"assumptions":[70],"form":[73],"bands":[76],"theory,":[81],"their":[82],"conclusions":[83],"are":[84],"equivalent.":[85],"Subsequently,":[86],"showcase":[88],"usefulness":[90],"through":[94],"a":[95,111],"series":[96],"case":[98,109],"examples":[99],"including":[100],"one-dimensional":[101],"multi-breathers,":[102],"two-dimensional":[104],"vortex":[105],"lattice":[112],"linearly":[114],"coupled":[115],"oscillators":[116],"Morse":[119],"potential":[120],"\u03d5":[127],"4":[128],"model.":[129]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}
