This paper investigates the anti–synchronization problem between two different fractional-order chaotic and hyperchaotic systems using modified adaptive sliding mode control technique in presence of uncertain system parameters. To construct proposed scheme, a simple surface is first designed. Then, sliding-mode controller derived to guarantee occurrence motion. Based on Lyapunov stability theor...

The obective of the paper is to develop a new hyperchaotic system with a single equilibrium point. The system is more hyperchaotic, larger bandwidth and complex than many other reported hyperchaotic systems. The proposed hyperchaotic system has non-uniform contraction and expansion of volume in phase space. Different theoretical and numerical techniques are used to analyse the proposed hypercha...

This paper presents hyperchaos anti-synchronization of different hyperchaotic systems using Active Generalized Backstepping Method (AGBM). The proposed technique is applied to achieve hyperchaos antisynchronization for the Lorenz and Lu dynamical systems. Generalized Backstepping Method (GBM) is similarity to Backstepping and more applications in systems than it. Bckstepping method is used only...

This paper deals with the master–slave synchronization scheme for partially known nonlinear fractional order systems, where the unknown dynamics is considered as the master system and we propose the slave system structure which estimates the unknown state variables. For solving this problem we introduce a Fractional Algebraic Observability (FAO) property which is used as a main tool in the desi...

The realization of memristor in nanoscale size has received considerate attention recently because memristor can be applied in different potential areas such as spiking neural network, high-speed computing, synapses of biological systems, flexible circuits, nonvolatile memory, artificial intelligence, modeling of complex systems or low power devices and sensing. Interestingly, memristor has bee...

In this paper, multiobjective synchronization of chaotic systems is investigated by especially simultaneously minimizing optimization of control cost and convergence speed. The coupling form and coupling strength are optimized by an improved multiobjective evolutionary approach that includes a hybrid chromosome representation. The hybrid encoding scheme combines binary representation with real ...

In recent years the synchronization of a chaotic response system with a chaotic drive system has attracted great interest in nonlinear science and engineering, due to the potential applications in chaos-based communications. This paper focuses on a new approach to achieve synchronization between two chaotic (hyperchaotic) maps with different dimensions. In particular, given a drive system map w...