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Bistability is observed within the main synchronization region in the control parameter plane at the boundary between the locking and suppression regions. This phenomenon emerges as the delay time in the communication channel increases. The bifurcation mechanism of bistability formation is revealed and studied for a system of delay differential equations, its finite-dimensional model of ordinary differential equations, and by using the amplitude and phase approach.<\/jats:p>","DOI":"10.1063\/5.0288450","type":"journal-article","created":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T12:52:46Z","timestamp":1759323166000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["Bifurcation analysis of delay-coupling induced bistability in coupled van der Pol oscillators"],"prefix":"10.1063","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7682-1919","authenticated-orcid":false,"given":"Sergey","family":"Astakhov","sequence":"first","affiliation":[{"name":"Russian Academy of Sciences 1 , Moscow,","place":["Russia"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-8309-6197","authenticated-orcid":false,"given":"Evgeny","family":"Elizarov","sequence":"additional","affiliation":[{"name":"Institute of Physics, Saratov State University 2 , 83 Astrakhanskaya Street, Saratov 410012,","place":["Russia"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8667-2742","authenticated-orcid":false,"given":"Galina","family":"Strelkova","sequence":"additional","affiliation":[{"name":"Institute of Physics, Saratov State University 2 , 83 Astrakhanskaya Street, Saratov 410012,","place":["Russia"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9597-6214","authenticated-orcid":false,"given":"Vladimir","family":"Astakhov","sequence":"additional","affiliation":[{"name":"Institute of Physics, Saratov State University 2 , 83 Astrakhanskaya Street, Saratov 410012,","place":["Russia"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2025,10,1]]},"reference":[{"key":"2025100108524213400_c1","volume-title":"Synchronization: A Universal Concept in Nonlinear Sciences","year":"2001"},{"key":"2025100108524213400_c2","doi-asserted-by":"publisher","first-page":"1217","DOI":"10.3367\/UFNe.0183.201312c.1323","article-title":"Synchronization of delay-coupled oscillator networks","volume":"56","year":"2013","journal-title":"Phys. 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