{"paper_id":"4a307cbd-cb04-44d2-a2c9-9627319e46b0","body_text":"Coherence-resonance spatiotemporal regimes in neural map networks under Levy noise | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Coherence-resonance spatiotemporal regimes in neural map networks under Levy noise Elena Rybalova, Alexsey Ryabov, Sishu Shankar Muni, Galina Strelkova This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6433887/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract We explore numerically the spatiotemporal dynamics of networks of nonlocally coupled Rulkov maps (discrete-time neuron models) under Levy noise. We show how the network dynamics depends on the control parameters of individual elements, the coupling parameters, and noise generators. We reveal for the first time and analyze the possibility of observing coherence-resonance solitary states, coherence-resonance solitary state chimeras, and coherence-resonance phase chimeras. We show that changes in the coupling radius can influence the number of incoherence clusters of solitary state chimeras. Conversely, when the coupling strength is varied, there are transitions between coherence-resonance solitary state chimeras and solitary states. Furthermore, we demonstrate that coherence-resonance solitary state chimeras can exist within a specific range of the scale parameter of Levy noise, which decreases as the stability index of the noise source is reduced. Computational Physics Levy noise coherence resonance network nonlocal coupling neural map Rulkov map Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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