This paper deals with the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The mentioned method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. At first, a nonlinear recursive active backstepping control vector is designed such that state variables of the hyperchaotic Wang s...

This paper proposes a new four-dimensional continuous autonomous hyperchaotic system, which is constructed based on the Lü system by introducing a nonlinear state feedback controller. Some dynamical properties, including equlibria, stability, Lyapunov exponents spectrum and bifurcation, of this hyperchaotic system are investigated in detail. Moreover, a novel analog circuit is also designed for...

In this letter, a new four-dimensional continuous autonomous hyperchaotic system, which is constructed based on a modified finance system by introducing a nonlinear state feedback controller. The detailed dynamical behaviors of this hyperchaotic system are further investigated, including equlibria and stability, various attractors, bifurcation analysis, and Lyapunov exponents spectrum. Furtherm...

The synchronization between fractional-order hyperchaotic systems and integer-order hyperchaotic systems via sliding mode controller is investigated. By designing an active sliding mode controller and choosing proper control parameters, the drive and response systems are synchronized. Synchronization between the fractional-order Chen chaotic system and the integer-order Chen chaotic system and ...

It is very important to generate hyperchaotic attractor with more complicated dynamics for theoretical research and practical application. The paper proposes a novel method to generate hyperchaotic multi-wing attractor. By replacing the resistor in the circuit of modified Lü system with fluxcontrolled memristor respectively, this newmemristive system can exhibit a hyperchaotic multi-wing attrac...

A new memristive system is presented in this paper. The peculiarity of the model is that it does not display any equilibria and exhibits periodic, chaotic, and also hyperchaotic dynamics in a particular range of the parameters space. The behavior of the proposed system is investigated through numerical simulations, such as phase portraits, Lyapunov exponents, and Poincaré sections, and circuita...

This paper presents synchronization of a new autonomous hyperchaotic system. The generalized backstepping technique is applied to achieve hyperchaos synchronization for the two new hyperchaotic systems. Generalized backstepping method is similarity to backstepping. Backstepping method is used only to strictly feedback systems but generalized backstepping method expands this class. Numerical sim...

Abstract This article deals with anti-synchronization between different hyperchaotic systems such as Lu system and Newton-Leipnik system; and Newton-Leipnik system and Rossler system using adaptive control method. Based on Lyapunov stability theory, the anti synchronization between a pair of hyperchaotic systems with fully unknown parameters are derived. An adaptive control law and a parameter ...