{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,19]],"date-time":"2026-06-19T20:48:28Z","timestamp":1781902108611,"version":"3.54.5"},"reference-count":29,"publisher":"World Scientific Pub Co Pte Ltd","issue":"09","funder":[{"name":"COPOCYT","award":["proyecto Fideicomiso 23871 de la Convocatoria 2023-01"],"award-info":[{"award-number":["proyecto Fideicomiso 23871 de la Convocatoria 2023-01"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2025,7]]},"abstract":"<jats:p> This study presents an energy-efficient unidirectional coupling strategy for achieving Generalized Synchronization (GS) and bistability in chaotic systems. The method generates decaying coupling signals activated by Poincar\u00e9 plane crossings of the drive system\u2019s trajectory. Unlike traditional constant coupling, the signal amplitude decays exponentially between crossings, reducing energy consumption while maintaining synchronization. The coupling combines (i) decaying signals activated by Poincar\u00e9 crossings and (ii) continuous negative feedback from the response\/auxiliary systems. <\/jats:p><jats:p> Applied to identical pairs of R\u00f6ssler and Lorenz systems, the method achieves GS and induces identical or indirect synchronization between response and auxiliary systems. The results demonstrate advantages over classical schemes, including lower energy requirements and complex dynamical behaviors. This work advances energy-efficient coupling strategies for chaotic systems, with potential applications in low-power electronics and biological-inspired systems. <\/jats:p>","DOI":"10.1142\/s021812742550110x","type":"journal-article","created":{"date-parts":[[2025,6,2]],"date-time":"2025-06-02T04:28:53Z","timestamp":1748838533000},"source":"Crossref","is-referenced-by-count":1,"title":["Generalized Synchronization and Bistability in Chaotic Systems via Decaying Poincar\u00e9-Activated Coupling"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6042-6893","authenticated-orcid":false,"given":"Luis Javier","family":"Onta\u00f1on-Garc\u00eda","sequence":"first","affiliation":[{"name":"Coordinaci\u00f3n Acad\u00e9mica Regi\u00f3n Altiplano Oeste, Universidad Aut\u00f3noma de San Luis Potos\u00ed, Carretera Salinas-Santo Domingo # 200, C.P. 78600, Salinas, San Luis Potos\u00ed, Mexico"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1098-1610","authenticated-orcid":false,"given":"Eric","family":"Campos-Cant\u00f3n","sequence":"additional","affiliation":[{"name":"Divisi\u00f3n de Control y Sistemas Din\u00e1micos, Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica, Camino a la Presa San Jos\u00e9 # 2055, Lomas 4ta Secci\u00f3n, C.P. 78216, San Luis Potos\u00ed, S.L.P., Mexico"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1213-276X","authenticated-orcid":false,"given":"Juan Gonzalo","family":"Barajas-Ram\u00edrez","sequence":"additional","affiliation":[{"name":"Divisi\u00f3n de Control y Sistemas Din\u00e1micos, Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica, Camino a la Presa San Jos\u00e9 # 2055, Lomas 4ta Secci\u00f3n, C.P. 78216, San Luis Potos\u00ed, S.L.P., Mexico"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3189-3417","authenticated-orcid":false,"given":"Isaac","family":"Campos-Cant\u00f3n","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias, Universidad Aut\u00f3noma de San Luis Potos\u00ed, Avenida Chapultepec # 1570, Col. 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