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Wave propagation is initiated by applying an external periodic stimulus to the left-side nodes of the excitable media. During interactions with obstacles, rich spiral patterns emerge in both single-layer and bilayer configurations across various amplitudes and frequencies of the external stimulus, as well as for different diffusion coefficients. The spatio-energy is also calculated to demonstrate the existence of a spiral core within stable spiral waves. The statistical synchronization factor is computed over a range of diffusion coefficients to assess the presence of spiral waves and the absence of instabilities. Building on these single-layer dynamics, we then investigate multilayer effects by extending our study to a bilayer system, with one layer containing obstacles. We observe the transition of spiral waves between the layers across these various stimulus parameters, as well as for different intralayer coupling coefficients. Finally, the trend of synchronization between the two layers is investigated using the spatial interlayer synchronization error across a range of interlayer coupling strengths. The important findings of the present study are discussed in the conclusion.<\/jats:p>","DOI":"10.1063\/5.0340752","type":"journal-article","created":{"date-parts":[[2026,10,5]],"date-time":"2026-10-05T12:51:36Z","timestamp":1791204696000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Spatiotemporal dynamics in the bi-layer memristive Morris\u2013Lecar neurons with different obstacles"],"prefix":"10.1063","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4509-9484","authenticated-orcid":false,"given":"Vinoth","family":"Seralan","sequence":"first","affiliation":[{"name":"Faculty of Computer Science, Higher School of Economics (HSE), National Research University 1 , Moscow 109028,","place":["Russia"]},{"name":"Center for Nonlinear and Complex Networks, SRM Institute of Science and Technology 2 , Chennai 600089,","place":["India"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2445-4800","authenticated-orcid":false,"given":"Sabarathinam","family":"Srinivasan","sequence":"additional","affiliation":[{"name":"Faculty of Computer Science, Higher School of Economics (HSE), National Research University 1 , Moscow 109028,","place":["Russia"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6485-4687","authenticated-orcid":false,"given":"Anitha","family":"Karthikeyan","sequence":"additional","affiliation":[{"name":"Center for Research, SRM TRP Engineering College 3 , Trichy 621105,","place":["India"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2993-7182","authenticated-orcid":false,"given":"Karthikeyan","family":"Rajagopal","sequence":"additional","affiliation":[{"name":"Center for Research, Easwari Engineering College 4 , Ramapuram, Chennai, Tamil Nadu 600089,","place":["India"]},{"name":"Center for Cognitive Science, Trichy SRM Medical College Hospital and Research Center 5 , 621105 Trichy,","place":["India"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4859-4448","authenticated-orcid":false,"given":"Viktor","family":"Popov","sequence":"additional","affiliation":[{"name":"Faculty of Computer Science, Higher School of Economics (HSE), National Research University 1 , Moscow 109028,","place":["Russia"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2026,10,5]]},"reference":[{"key":"2026100508513280500_c1","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1016\/j.neucom.2016.05.004","article-title":"Multiple modes of electrical activities in a new neuron model under electromagnetic radiation","volume":"205","year":"2016","journal-title":"Neurocomputing"},{"key":"2026100508513280500_c2","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1016\/S0006-3495(61)86902-6","article-title":"Impulses and physiological states in theoretical models of nerve membrane","volume":"1","year":"1961","journal-title":"Biophys. 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