A new transiently chaotic flow with ellipsoid equilibria

作者：Panahi Shirin; Aram Zainab; Jafari Sajad^*; Viet Thanh Pham; Volos Christos; Rajagopal Karthikeyan

来源：Pramana - Journal of Physics, 2018, 90(3): 31.

DOI：10.1007/s12043-018-1524-2

• Transiently chaotic flows
• ellipsoid equilibria
• hidden attractors

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 been implemented and tested by the OrCAD-PSpise software. We have found a proper qualitative similarity between circuit and simulation results.

• 出版日期2018-3