Analysis of chaotic and hyperchaotic conservative complex nonlinear systems

Abstract

The aim of this paper is to introduce and analyze chaotic and hyperchaotic conservative complex nonlinear systems. These systems appear in several branches of applied sciences. Lyapunov exponents are calculated to observe chaotic and hyperchaotic behaviors. The wide range of systems parameters at which chaotic and hyperchaotic solutions exist is calculated. The modules for complex variables are computed and plotted. The projections of chaotic and hyperchaotic solutions are shown in 3-spaces and 2-planes. The systems of this paper leave rooms for further studies in the near future, e.g. control and several types of synchronization of the solutions of these systems.

Multi-stability and FPGA Implementation of a Conservative Chaotic System

“…Subsequently, in 1997 and 1999, Sprott and Thomas respectively gave the jerk conservative chaotic system and the conservative chaotic system with sine function [7][8] . Subsequent research on conservative chaotic characteristics is gradually attracting researchers' attention [9][10][11][12][13][14][15] .…”