Abstract
A new 4-D hyperchaotic two-wing system with three quadratic nonlinearities is proposed in this paper. The dynamical properties of the new hyperchaotic system are described in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, symmetry, dissipativity, etc. Also, a detailed dynamical bifurcation analysis of the hyperchaotic system has been studied using bifurcation diagrams. As an engineering application, an electronic circuit realization of the new hyperchaotic two-wing system is developed in MultiSIM, which confirms the feasibility of the theoretical hyperchaotic two-wing system.
Highlights
Chaos theory deals with nonlinear dynamical systems exhibiting high sensitivity to small changes in initial conditions [1,2]
A new 4-D hyperchaotic two-wing system with three quadratic nonlinearities is proposed in this paper
An electronic circuit realization of the new hyperchaotic two-wing system is developed in MultiSIM, which confirms the feasibility of the theoretical hyperchaotic two-wing system
Summary
Chaos theory deals with nonlinear dynamical systems exhibiting high sensitivity to small changes in initial conditions [1,2]. Hyperchaotic systems are defined as nonlinear dynamical systems having two or more positive Lyapunov exponents [1,2]. They exhibit more complex behaviour than chaotic dynamical systems as the trajectories of hyperchaotic systems can expand in two different directions corresponding to the two positive Lyapunov exponents. A new 4-D hyperchaotic two-wing system with three quadratic nonlinearities is proposed and the dynamical properties of the new hyperchaotic system are described in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, symmetry, dissipativity, etc.
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