Multi-wing chaotic attractors are highly complex nonlinear dynamical systems with higher number of index-2 equilibrium points. Due to the presence of several equilibrium points, randomness and hence the complexity of the state time series for these multi-wing chaotic systems is much higher than that of the conventional double-wing chaotic attractors. A real-coded Genetic Algorithm (GA) based gl...

Recently many chaotic circuits are designed to generate chaos. The ability to synchronize chaotic circuits opens number of ways to use them in signal masking applications. This paper gives a brief overview of three dimensional autonomous chaotic systems which is represented by simple quadratic differential equations. A new autonomous chaotic system is introduced and compared with some existing ...

This paper presents a control strategy, which is based on sliding mode control, adaptive control, and fuzzy logic system for controlling the chaotic dynamics. We consider this control paradigm in chaotic systems where the equations of motion are not known. The proposed control strategy is robust against the external noise disturbance and system parameter variations and can be used to convert th...

In the Present manuscript we have investigate the Adaptive projective synchronization between different fractional order chaotic systemsusing modified adaptive control method with unknown parameters. The modified adaptive control method is very affective and more convenient in compression to the existing method for the synchronization of the fractional order chaotic systems. The chaotic attract...

Estimating parameters of a model system using observed chaotic scalar time series data is a topic of active interest. To estimate these parameters requires a suitable similarity indicator between the observed and model systems. Many works have considered a similarity measure in the time domain, which has limitations because of sensitive dependence on initial conditions. On the other hand, there...

In this paper we apply Theorem 2.1 in [Heidel J, Zhang F. Nonchaotic and chaotic behaviour in the three-dimensional quadratic systems: five-one conservative cases, in press] to some simple chaotic jerk functions listed in [Sprott JC. Simple chaotic systems and circuits. Am J Phys 2000;68(8):758–63; Sprott JC. Algebraically simple chaotic flows. Int J Chaos Theory Appl 2000;5(2):1–20] to locate ...

In this paper, we propose to design a new family of discrete-time chaotic systems based on the use of the multimodel approach. This approach is used to represent a way to generate new family of discrete-time chaotic systems, from p discrete time chaotic basis models. Our results are illustrated on the specific case of a new discrete-time chaotic multimodel based on two chaotic 2D Hénon maps wit...

Based on the Lyapunov stabilization theory and Gerschgorin theorem, a simple generic criterion is derived for global synchronization of two coupled chaotic systems with a unidirectional linear error feedback coupling. This simple criterion is applicable to a large class of chaotic systems, where only a few algebraic inequalities are involved. To demonstrate the efficiency of design, the suggest...

The relationship between chaos and cryptography makes it natural to employ chaotic systems to design new cryptosystems. It is based on the facts that chaotic signals are usually noise-like and chaotic systems are very sensitive to initial conditions. Their sensitivity to initial conditions and their spreading out of trajectories over the whole interval seems to be a model that satisfies the cla...

Received Jan 5, 2017 Revised Jun 25, 2017 Accepted Jul 10, 2017 In this paper, the synchronization problem of T chaotic system and Lu chaotic system is studied. The parameter of the drive T chaotic system is considered unknown. An adaptive projective lag control method and also parameter estimation law are designed to achieve chaos synchronization problem between two chaotic systems. Then Lyapu...