A new transiently chaotic flow with ellipsoid equilibria
SHIRIN PANAHI ZAINAB ARAM SAJAD JAFARI VIET-THANH PHAM CHRISTOS VOLOS KARTHIKEYAN RAJAGOPAL
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In this article, a simple autonomous transiently chaotic flow with cubic nonlinearities is proposed. This system represents some unusual features such as having a surface of equilibria. We shall describe some dynamical properties and behaviours of this system in terms of eigenvalue structures, bifurcation diagrams, time series, and phase portraits. Various behaviours of this system such as periodic and transiently chaotic dynamics can be shown by setting special parameters in proper values. Our system belongs to a newly introduced category of transiently chaotic systems: systems with hidden attractors. Transiently chaotic behaviour of our proposed system has beenimplemented and tested by the OrCAD-PSpise software. We have found a proper qualitative similarity between circuit and simulation results.
SHIRIN PANAHI1 ZAINAB ARAM1 SAJAD JAFARI1 VIET-THANH PHAM2 CHRISTOS VOLOS3 KARTHIKEYAN RAJAGOPAL4 5
Volume 96, 2022
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