Coexistence of asymmetric hidden chaotic attractors in a new simple 4-D chaotic system with curve of equilibria

Abstract This paper reports a new 4-D dissipative chaotic system. When compared with the available 4-D chaotic/hyperchaotic systems, the unique properties of the proposed system are (i) the system exhibits coexistence of different kind of asymmetric hidden attractors, (ii) the system has a curve of equilibria and (ii) the system is simple. This system does not satisfy Shilnikov criterion for the existence of chaos. The system has a total of eight terms including only one nonlinear term. The coexistence of rich chaotic dynamics in the system is investigated through Lyapunov spectrum, bifurcation diagram, Poincare map, frequency spectrum and attractors plot. The coexistence of the asymmetric hidden dynamics is shown using chaotic attractors, 3- torus and 2-torus plots. The system is developed from the type-IV 3-D Rossler chaotic system.

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