In this paper, an approach to generate multi-wing attractors in coupled chaotic systems is investigated. By coupling two identical Lü systems, novel four-wing hyperchaotic attractors are generated. In particular, novel four-wing hyperchaotic attractors are also generated by coupling a lorenz system and a Lü system. The paper shows that the equilibria of the proposed systems have certain symmetr...

In this paper, the emergence of hyperchaos in a network with two very simple discrete periodic oscillators is presented. Uncoupled periodic oscillators may represent, in the crudest and simplest form, periodic oscillators in nature, for example fireflies, crickets, menstrual cycles of women, among others. Nevertheless, the emergence of hyperchaos in this kind of real-life network has not been p...

The aim of this paper is to introduce a new hyperchaotic complex Lorenz system. This hyperchaotic complex system is constructed by adding a linear controller to the second equation of the chaotic complex Lorenz system. The new system is a 7-dimensional continuous real autonomous hyperchaotic system. This system has hyperchaotic attractors and quasi-periodic solutions with three zero Lyapunov ex...

This paper aims to control a new 4D hyperchaotic finance system by means of inverse optimal control scheme. For this purpose, the inverse optimal controller is designed and added to the new hyperchaotic finance system. Based on Lyapunov stability theory, the stability of the hyperchaotic finance system at its zero equilibrium point is guaranteed by applying appropriate inverse optimal control s...

Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase-coherent hyperchaotic attractors. In this paper we report identification of phase synchronization in coupled time-delay systems exhibiting hyperchaotic attractor. We show that there is a transition from nonsy...

We demonstrate that for symmetric dynamical systems with an invariant subspace in which there is a chaotic attractor, synchronism between the transverse subsystem and its replica can be achieved in wide parameter regimes. The synchronism occurs in situations where the interaction between the invariant subsystem and the transverse subsystem can be either unidirectional or bidirectional, and the ...