Article ID Journal Published Year Pages File Type
846773 Optik - International Journal for Light and Electron Optics 2016 6 Pages PDF
Abstract

The hidden attractor holds attracting basin that does not intersect with any small neighborhoods of equilibrium. The attractors of chaotic systems with no-equilibrium, only stable equilibrium or a line of equilibrium belong to hidden attractors, and in which the Shilnikov method is not suitable to explain the chaos. This paper introduces a three-dimensional chaotic system with no equilibrium point. The fundamental dynamical properties as phase portrait, power spectral density, state trajectory, Lyapunov exponent, Kaplan-Yorke dimension and bifurcation are displayed and discussed, which show that the new system exhibits rich dynamics and can generate multiple attractors with different system parameters and initial values.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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