In this article, the active control method is used for hybrid synchronization between two fractional order hyperchaotic systems, Chen hyperchaotic system taken as the master system and the other fractional order hyperchaoticLu system taken as slave system separately. The fractional derivative is described in Caputo sense. Numerical simulation results which are carried out using Adams–Bashforth–...

In the present study, a new modelling technique was developed for the modelling and analysis of hyperchaotic systems using an expert system based on wavelet decompositions and the Adaptive Neuro-Fuzzy Inference System (ANFIS). The success and superior properties of this new expert system were shown by applying the hyperchaotic Chen system which is a hyperchaotic system. The obtained expert syst...

Open-plus-closed-loop(OPCL) control method is a more general and physically realizable coupling scheme that can provide stable CS(complete synchronization) and AS(anti-synchronization) in identical and mismatched oscillators. Grosu et. al,[111, 112] recently reported projective synchronization in chaotic systems through open-plus-closed-loop(OPCL) coupling. Hyperchaotic systems possessing at le...

We present a pseudospectral method application for solving the hyperchaotic complex systems. The proposed method, called the multistage spectral relaxation method (MSRM) is based on a technique of extending Gauss-Seidel type relaxation ideas to systems of nonlinear differential equations and using the Chebyshev pseudospectral methods to solve the resulting system on a sequence of multiple inter...

Based on Lyapunov-exponent generation and the Gram-Schimdt orthogonalization, analysis and design of some anti-controlled higher-dimensional hyperchaotic systems are investigated in this paper. First, some theoretical results for Lyapunov-exponent generating algorithms are proposed. Then, the relationship between the number of Lyapunov exponents and the number of positive real parts of the eige...

The growth of technology and the emphasis on privacy have intensified the need to find a fast and secure cryptographic method. As chaotic signals are usually noise-like and chaotic systems are very sensitive to the initial condition, they can be used in cryptography. We have analyzed the properties of two new hyperchaotic systems that we have developed and then propose a secure chaotic cryptogr...

In this brief control theory is used to formalize hyperchaos synchronization as a nonlinear observer design issue. Following this approach, a new systematic tool to synchronize a class of hyperchaotic systems via a scalar transmitted signal is developed. The proposed technique has been applied to synchronize two well-known hyperchaotic systems.

The pinning hybrid synchronization of time-delay hyperchaotic Lü systems is investigated via linear control. Based on Lyapunov stability theory, the coexistence of pinning anti-synchronization and complete synchronization of time-delay hyperchaotic Lü systems is obtained via one single controller. Sufficient conditions are obtained to achieve the hybrid Pinning synchronization. Numerical simula...

A simple method to design chaos suppressors for a class of chaotic systems that can be decomposed into a linear subsystem and a nonlinear subsystem whose states can be decoupled is presented. The method yields a constant state feedback controller and global stability of the controlled system. The proposed methodology is demonstrated on three well-known chaotic systems, the third-order Chua circ...

Abstract. This paper investigates the modified projective synchronization (MPS) of a new hyperchaotic system. The different nonlinear feedback controllers are designed by an active control method for synchronization of two hyperchaotic systems with the same or different structures. In addition, the MPS of the new hyperchaotic system with unknown parameters including the unknown coefficients of ...