A new three-dimensional chaotic flow with one stable equilibrium: dynamical properties and complexity analysis

Abstract

This paper proposes a new three-dimensional chaotic flow with one stable equilibrium. Dynamical properties of this system are investigated. The system has a chaotic attractor coexisting with a stable equilibrium. Thus the chaotic attractor is hidden. Basin of attractions shows the tangle of different attractors. Also, some complexity measures of the system such as Lyapunov exponent and entropy will are analyzed. We show that the Kolmogorov-Sinai Entropy shows more accurate results in comparison with Shanon Entropy.

Keywords

• chaotic flow
• stable equilibrium
• hidden attractor
• basin of attraction
• entropy
• complexity
• 05.45.ac
• 05.45.pq