{"doi":"10.1103/physreve.89.022920","title":"Core solutions of rigidly rotating spiral waves in highly excitable media","abstract":null,"journal":"Physical Review E","year":2014,"id":634263,"datarank":0.29188652235829704,"base_score":1.9459101490553132,"endowment":1.9459101490553132,"self_citation_contribution":0.29188652235829704,"citation_network_contribution":0.0,"self_endowment_contribution":0.29188652235829704,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":6,"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":1644887,"name":"Jun-ting Pan","orcid":null,"position":1,"is_corresponding":false},{"id":697927,"name":"Hong Zhang","orcid":"0000-0003-3010-0806","position":2,"is_corresponding":false},{"id":1644885,"name":"Mei-chun Cai","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Core solutions of rigidly rotating spiral waves in highly excitable media","abstract":"Analytical spiral wave solutions for reaction-diffusion equations play an important role in studying spiral wave dynamics. In this paper, we focus on such analytical solutions in the case of highly excitable media. We present numerical evidence that, for rigidly rotating spiral waves in highly excitable media, the species values in the spiral core region do harmonic oscillations but not relaxation ones, and their amplitudes grow linearly with the distance from the rotation center. An analytical solution is proposed to describe such spiral wave dynamics, and the quantitative comparisons between the numerical results and the analytical solutions show that the proposed spiral core solution works well in highly excitable media.","is_dataset_classified":null,"base_score":1.9459101490553132,"endowment":1.9459101490553132,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"25353558","pmcid":null,"openalex_id":"https://openalex.org/W1976853759","authors":[],"funders":[],"total_grants":0,"fwci":0.3665,"citation_percentile":0.70690302,"influential_citations":0,"citation_trend":[{"year":2014,"count":1},{"year":2018,"count":2},{"year":2020,"count":2},{"year":2021,"count":1}],"oa_status":"closed","license":"http://link.aps.org/licenses/aps-default-license","oa_locations":[{"url":"http://link.aps.org/article/10.1103/PhysRevE.89.022920","host_type":"publisher"},{"url":"http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.89.022920/fulltext","host_type":"publisher"},{"url":"https://doi.org/10.1103/physreve.89.022920","host_type":"journal"},{"url":"https://pubmed.ncbi.nlm.nih.gov/25353558","host_type":"repository"}],"fields_of_study":["Nonlinear Dynamics and Pattern Formation","Nonlinear Photonic Systems","Quantum chaos and dynamical systems","Algorithms","Computer Simulation","Models, Biological","Nonlinear Dynamics","Oscillometry"],"mesh_terms":["Algorithms","Computer Simulation","Models, Biological","Oscillometry","Nonlinear Dynamics"],"keywords":["Spiral (railway)","Spiral wave","Excitable medium","Rotation (mathematics)","Physics","Traveling wave","Classical mechanics","Core (optical fiber)","Harmonic","Dynamics (music)","Mechanics","Relaxation (psychology)","Amplitude","Focus (optics)","Optics","Acoustics","Mathematical analysis","Mathematics","Geometry"],"sdg_mappings":[{"sdg_number":0,"sdg_label":"Life in Land"}],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-06T13:24:07.794824Z","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":[]}