This paper derives new results for the design of sliding mode controller for the hybrid synchronization of identical hyperchaotic Chen systems (Jia, Dai and Hui, 2010). The synchronizer results derived in this paper for the hybrid synchronization of identical hyperchaotic Chen systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calcul...

This paper discusses the analysis and computations of chaos–hyperchaos (or vice versa) transition in Rössler–Nikolov–Clodong O (RNC-O) hyperchaotic system. Our work is motivated by our previous transitional regimes RNC-O system results recently obtained from another researchers. The numerical simulations show that coupled to change equilibria type as one large attractor occurs. Moreover, we for...

*Correspondence: [email protected] 1School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing 404120, P.R. China Full list of author information is available at the end of the article Abstract In this paper, a memristor-based hyperchaotic system is introduced. Considering time delays between the drive system and the response system in the process of synch...

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...

Shibing Wang 1,2, Xingyuan Wang 2,*, Yufei Zhou 3 and Bo Han 1 1 School of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, China; [email protected] (S.W.); [email protected] (B.H.) 2 Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China 3 College of Electrical Engineering and Automation, Anhui ...

We investigate the sudden destruction of hyperchaotic attractors in symmetrically coupled onedimensional maps. An asynchronous hyperchaotic attractor may appear through a blow-out bifurcation, where the synchronous chaotic attractor on the invariant synchronization line becomes unstable with respect to perturbations transverse to the synchronization line. It is found that such a hyperchaotic at...

In comparison with integer-order chaotic systems, fractional-order systems exhibit more complex dynamics. recent years, research into fractional for the utilization of image cryptosystems has become increasingly highlighted. This paper describes development, testing, numerical analysis, and electronic realization a memcapacitor. Then, new four-dimensional (4D) memcapacitive hyperchaotic system ...