{"id":"https://openalex.org/W4416126830","doi":"https://doi.org/10.21203/rs.3.rs-8082361/v1","title":"Influence of magnetic flow on novel nonlinear periodic wave patterns in Hindmarsh-Rose neural networks","display_name":"Influence of magnetic flow on novel nonlinear periodic wave patterns in Hindmarsh-Rose neural networks","publication_year":2025,"publication_date":"2025-11-12","ids":{"openalex":"https://openalex.org/W4416126830","doi":"https://doi.org/10.21203/rs.3.rs-8082361/v1"},"language":"en","primary_location":{"id":"doi:10.21203/rs.3.rs-8082361/v1","doi":"https://doi.org/10.21203/rs.3.rs-8082361/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-8082361/v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Research Square","raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.21203/rs.3.rs-8082361/v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5116004302","display_name":"Akoni Brikly Njinabo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I263774594","display_name":"University of Bamenda","ror":"https://ror.org/031ahrf94","country_code":"CM","type":"education","lineage":["https://openalex.org/I263774594"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Akoni Brikly Njinabo","raw_affiliation_strings":["The University of Bamenda"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Bamenda","institution_ids":["https://openalex.org/I263774594"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064963647","display_name":"Nkeh Oma Nfor","orcid":"https://orcid.org/0000-0002-9215-5960","observed_orcids":["https://orcid.org/0000-0002-9215-5960"]},"institutions":[{"id":"https://openalex.org/I263774594","display_name":"University of Bamenda","ror":"https://ror.org/031ahrf94","country_code":"CM","type":"education","lineage":["https://openalex.org/I263774594"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Nkeh Oma Nfor","raw_affiliation_strings":["The University of Bamenda"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Bamenda","institution_ids":["https://openalex.org/I263774594"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030023370","display_name":"Serge Bruno Yamgou\u00e9","orcid":"https://orcid.org/0000-0002-3079-4775","observed_orcids":["https://orcid.org/0000-0002-3079-4775"]},"institutions":[{"id":"https://openalex.org/I263774594","display_name":"University of Bamenda","ror":"https://ror.org/031ahrf94","country_code":"CM","type":"education","lineage":["https://openalex.org/I263774594"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Serge Bruno Yamgoue'","raw_affiliation_strings":["The University of Bamenda"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Bamenda","institution_ids":["https://openalex.org/I263774594"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5096680668","display_name":"Blaise Tabi Dzou","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Blaise Tabi Dzou","raw_affiliation_strings":["The university of Yaounde 1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The university of Yaounde 1","institution_ids":["https://openalex.org/I1331070479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.7778000235557556,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.7778000235557556,"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":0.13779999315738678,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.030899999663233757,"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/hindmarsh-rose-neuron-model","display_name":"Hindmarsh-Rose model","score":0.7369999885559082},{"id":"https://openalex.org/keywords/neural-network","display_name":"artificial neural networks","score":0.8619999885559082},{"id":"https://openalex.org/keywords/magnetic-flows","display_name":"magnetic flows","score":0.8429999947547913},{"id":"https://openalex.org/keywords/magnetic-flux","display_name":"magnetic flux","score":0.6710000038146973},{"id":"https://openalex.org/keywords/nonlinear-periodic-waves","display_name":"nonlinear periodic waves","score":0.8740000128746033},{"id":"https://openalex.org/keywords/modulational-instability","display_name":"modulational instability","score":0.9760000109672546},{"id":"https://openalex.org/keywords/local-vibrational-modes","display_name":"localized modes","score":0.6729999780654907},{"id":"https://openalex.org/keywords/spatiotemporal-chaos","display_name":"spatiotemporal chaos","score":0.8769999742507935},{"id":"https://openalex.org/keywords/chaos-control","display_name":"chaos control","score":0.6800000071525574},{"id":"https://openalex.org/keywords/neuronal-synchronization","display_name":"neuronal synchronization","score":0.625},{"id":"https://openalex.org/keywords/epileptic-seizures","display_name":"epileptic seizures","score":0.6899999976158142},{"id":"https://openalex.org/keywords/parkinson-s-disease","display_name":"Parkinson's disease","score":0.8050000071525574}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7312999963760376},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6129999756813049},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.6101999878883362},{"id":"https://openalex.org/C125755039","wikidata":"https://www.wikidata.org/wiki/Q17104082","display_name":"Modulational instability","level":3,"score":0.5565000176429749},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5429999828338623},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5307999849319458},{"id":"https://openalex.org/C157479481","wikidata":"https://www.wikidata.org/wiki/Q177831","display_name":"Magnetic flux","level":3,"score":0.4950999915599823},{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.4490000009536743},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.44600000977516174},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.436599999666214},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3837999999523163},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36730000376701355},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3547999858856201},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.35269999504089355},{"id":"https://openalex.org/C40678858","wikidata":"https://www.wikidata.org/wiki/Q6934874","display_name":"Multiple-scale analysis","level":3,"score":0.352400004863739},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.3474000096321106},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3402000069618225},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.32199999690055847},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3125},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.30550000071525574},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3052000105381012},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.30090001225471497},{"id":"https://openalex.org/C205904022","wikidata":"https://www.wikidata.org/wiki/Q6803620","display_name":"Mean flow","level":3,"score":0.2888999879360199},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.274399995803833},{"id":"https://openalex.org/C123958593","wikidata":"https://www.wikidata.org/wiki/Q938102","display_name":"Elliptic function","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C60799052","wikidata":"https://www.wikidata.org/wiki/Q46221","display_name":"Electric field","level":2,"score":0.27140000462532043},{"id":"https://openalex.org/C162565982","wikidata":"https://www.wikidata.org/wiki/Q3725254","display_name":"Magnetic energy","level":4,"score":0.26350000500679016}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.21203/rs.3.rs-8082361/v1","doi":"https://doi.org/10.21203/rs.3.rs-8082361/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-8082361/v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Research Square","raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.21203/rs.3.rs-8082361/v1","doi":"https://doi.org/10.21203/rs.3.rs-8082361/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-8082361/v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Research Square","raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2927398849","https://openalex.org/W7125202091","https://openalex.org/W3048754127","https://openalex.org/W2784051681","https://openalex.org/W4220673218","https://openalex.org/W3037533617","https://openalex.org/W2811350990","https://openalex.org/W2583050107","https://openalex.org/W4401339421","https://openalex.org/W3152707383"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"employ":[2],"multiple-scale":[3],"expansion":[4],"to":[5,32],"show":[6],"that":[7,133],"the":[8,11,40,49,54,63,71,95,113,127,137,145,155],"dynamics":[9],"of":[10,70,112,123,171,186],"Hindmarsh-Rose":[12],"neural":[13,146],"network":[14,90],"under":[15],"magnetic":[16,58,100,138,172],"flow":[17,173],"effect":[18],"is":[19,29],"governed":[20],"by":[21,80,160],"a":[22,33,134,167],"nonlinear":[23,105],"differential-difference":[24],"equation.":[25],"This":[26,163],"discrete":[27],"equation":[28,38,73],"eventually":[30],"transformed":[31],"complex":[34],"cubic":[35],"Ginzburg-Landua":[36],"amplitude":[37,72],"via":[39],"continuum":[41],"limit":[42],"approximation.":[43],"The":[44],"modulational":[45,64],"instability":[46,51,65],"analysis":[47],"establishes":[48,166],"Benjamin-Feir":[50],"criterion,":[52],"with":[53],"electric":[55,98],"coupling":[56],"and":[57,93,99,108,116,130,153,184],"flux":[59,139],"strengths":[60],"greatly":[61],"influencing":[62],"gain.":[66],"Exact":[67],"analytical":[68,128],"solution":[69],"are":[74,120],"obtained":[75],"as":[76,179],"Jacobi":[77],"elliptic":[78,96],"dn-function,":[79],"exploring":[81],"appropriate":[82],"decoupling":[83],"ansatz":[84],"technique.":[85],"By":[86],"keeping":[87],"all":[88],"other":[89],"parameters":[91],"fixed":[92],"varying":[94],"modulus,":[97],"field":[101],"strengths;":[102],"various":[103],"spatial":[104],"periodic":[106],"patterns":[107,158],"small-amplitude":[109],"localized":[110],"modes":[111],"membrane":[114],"potential":[115],"associated":[117],"ion":[118],"currents":[119],"obtained.":[121],"Results":[122],"numerical":[124],"simulations":[125],"confirm":[126],"predictions":[129],"strongly":[131],"suggest":[132],"decrease":[135],"in":[136,144],"strength":[140],"induces":[141],"chaotic":[142],"regimes":[143],"networks.":[147],"Control":[148],"spatiotemporal":[149],"chaos":[150],"can":[151],"interfere":[152],"disrupt":[154],"regular":[156],"synchronous":[157],"triggered":[159],"neuronal":[161],"disorders.":[162],"work":[164],"thus":[165],"strong":[168],"theoretical":[169],"framework":[170],"effects":[174],"on":[175],"neuro-pathological":[176],"abnormalities,":[177],"such":[178],"epileptic":[180],"seizures,":[181],"Parkinson":[182],"disease":[183],"loss":[185],"brain":[187],"flexibility.":[188]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2025-11-12T00:00:00"}
