Dynamic Analysis of the Coexisting Attractors in a Novel Chaotic System with a Quintic Function

Abstract

The discovery of complex dynamic behavior in simple chaotic systems has always been of research interest and is valuable for applications in various fields. This article presents a simple 3D novel chaotic system with a Quintic function. The system has rich dynamic behaviors and has five equilibriums from a Quintic function. The paper aims to analyze the complex dynamic as the coexisting attractor and multi-stability. The instruments for analysis in scrupulously viz phase portraits, the bifurcation, Poincaré section, the basin of attraction, power spectrum, etc. The basic properties of the system are presented by theoretical and numerical analysis. The several types of coexisting attractors are identified by using the power spectrum in preliminary. The range of the coexisting attractor is extended results by using the basin of attraction. Finally, utilizing coexisting attractors of a chaotic system in applications such as secure communication can enhance performance in cases like multikey encryption and chaotic steganography.