{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:06:38Z","timestamp":1753880798805,"version":"3.41.2"},"reference-count":61,"publisher":"World Scientific Pub Co Pte Ltd","issue":"13","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2022,10]]},"abstract":"<jats:p> Memristive circuits and systems have been widely studied in the last years due to their potential applications in several technological areas. They are capable of producing nonlinear periodic and chaotic oscillations, due to their locally-active characteristics. In this paper, we consider a cubic four-parameter differential system which models a memristive circuit consisting of three elements: a passive linear inductor, a passive linear capacitor and a locally-active current-controlled generic memristor. This system has a saddle-focus equilibrium point at the origin, whose global stable and unstable manifolds are, respectively, the [Formula: see text]-axis and the plane [Formula: see text], which are invariant sets where the dynamic is linear. We show that this structure can generate two twin R\u00f6ssler-type chaotic attractors symmetrical with respect to the plane [Formula: see text]. We describe the mechanism of creation of these chaotic attractors, showing that, although being similar to the R\u00f6ssler attractor, the twin attractors presented here have simpler structural mechanism of formation, since the system has no homoclinic or heteroclinic orbits to the saddle-focus, as presented by the R\u00f6ssler system. The studied memristive system has the rare property of having chaotic dynamics and an invariant plane with linear dynamic, which is quite different from other chaotic systems presented in the literature that have invariant surfaces filled by equilibrium points. We also present and discuss the electronic circuit implementation of the considered system and study its dynamics at infinity, via the Poincar\u00e9 compactification, showing that all the solutions, except the ones contained in the plane [Formula: see text], are bounded and cannot escape to infinity. <\/jats:p>","DOI":"10.1142\/s0218127422300324","type":"journal-article","created":{"date-parts":[[2022,11,3]],"date-time":"2022-11-03T06:40:11Z","timestamp":1667457611000},"source":"Crossref","is-referenced-by-count":3,"title":["A Cubic Memristive System with Two Twin R\u00f6ssler-Type Chaotic Attractors Symmetrical About an Invariant Plane"],"prefix":"10.1142","volume":"32","author":[{"given":"Marcelo","family":"Messias","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, Faculty of Science and Technology, S\u00e3o Paulo State University (UNESP), 19060-900 P. 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