{"doi":"10.3934/dcdss.2022053","title":"Limit cycle bifurcations of near-Hamiltonian systems with multiple switching curves and applications","abstract":null,"journal":"Discrete and Continuous Dynamical Systems - S","year":2023,"id":679869,"datarank":0.3596842909197557,"base_score":2.3978952727983707,"endowment":2.3978952727983707,"self_citation_contribution":0.3596842909197557,"citation_network_contribution":0.0,"self_endowment_contribution":0.3596842909197557,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":10,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1776369,"name":"Maoan Han","orcid":null,"position":1,"is_corresponding":false},{"id":1776368,"name":"Wenye Liu","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Limit cycle bifurcations of near-Hamiltonian systems with multiple switching curves and applications","abstract":"In the present paper, we are devoted to the study of limit cycle bifurcations in piecewise smooth near-Hamiltonian systems with multiple switching curves, obtaining a formula of the first order Melnikov function in general case. As an application, we give lower bounds of the number of limit cycles for a piecewise smooth near-Hamiltonian system with a closed switching curve passing through the origin under piecewise polynomial perturbations.","is_dataset_classified":null,"base_score":2.3978952727983707,"endowment":2.3978952727983707,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"21097893","pmcid":null,"openalex_id":"https://openalex.org/W4226164715","authors":[],"funders":[],"total_grants":0,"fwci":3.418,"citation_percentile":0.93342829,"influential_citations":0,"citation_trend":[{"year":2023,"count":1},{"year":2024,"count":5},{"year":2025,"count":3},{"year":2026,"count":1}],"oa_status":"gold","license":"cc-by","oa_locations":[{"url":"https://www.aimsciences.org/data/article/export-pdf?id=62313dd72d80b75abb2e8f5c","host_type":"journal"},{"url":"https://www.aimsciences.org/data/article/export-pdf?id=62313dd72d80b75abb2e8f5c","host_type":"publisher"},{"url":"https://doi.org/10.3934/dcdss.2022053","host_type":"journal"}],"fields_of_study":["Advanced Differential Equations and Dynamical Systems","Quantum chaos and dynamical systems"],"mesh_terms":[],"keywords":["Piecewise","Limit cycle","Mathematics","Hamiltonian (control theory)","Hamiltonian system","Limit (mathematics)","Bifurcation","Mathematical analysis","Polynomial","Control theory (sociology)","Pure mathematics","Physics","Mathematical optimization","Nonlinear system","Computer science","Quantum mechanics"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-17T13:56:02.014966Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}