Article ID Journal Published Year Pages File Type
5128123 Mathematics and Computers in Simulation 2017 11 Pages PDF
Abstract

A three-dimensional chaotic autonomous system is proposed in this paper. This system has a unique property: it can belong to three different families of chaotic systems with hidden attractors: (a) systems with a line of equilibria, (b) systems with only stable equilibria, and (c) systems with no equilibria. Dynamics of this system are investigated through eigenvalue structures, phase portraits, basin of attraction, bifurcation diagram and Lyapunov exponents. The physical existence of the chaotic behavior found in the proposed system is verified by using OrCAD-PSpice software. A good qualitative agreement is shown between the simulations and the PSpice results.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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