Abstract. The control problem of a novel hyperchaotic system is investigated. The linear, speed, nonlinear, nonlinear doubly-periodic function feedback controls are used to suppress hyperchaos to unstable equilibrium. Limit cases of doubly-periodic function are considered and the hyperbolic function and trigonometric function feedback control laws are derived. The Routh–Hurwitz criterion is app...

The dynamics of a resistively coupled system of nonidentical Josephson junctions (JJ) with dc feedings is explored theoretically. The effects of system parameters on the dynamic features are defined and equilibrium features of the system of equations are explored in such a nonidentical JJ system for the first time. By using center manifold reduction, the inverse of coupling resistance Rcp is co...

In recent years, the research of chaos theory has developed from simple cognition and analysis to practical engineering application. particular, hyperchaotic systems with more complex changeable chaotic characteristics are sensitive unpredictable, so they widely used in fields. this paper, two important applications based on hyperchaos pseudorandom number generator (PRNG) image encryption studi...

This paper presents a new hyperchaotic system which shows some interesting features, the is 4-dimensional with 4 nonlinearities. An extensive numerical analysis has showed that features and strange behaviors. The includes studying effect of parameters initial conditions. Some important properties parameter set, in hyperchaotic, such as Lyapunov exponents dimension, dissipation symmetry are foun...

Over the past decade, the fundamental issue of generating complex attractors has raised a lot of interests. One of the major classes of complex attractors is the socalled hyperchaos, which has more than one positive Lyapunov exponent, meaning that the dynamics of such a system expand in more than one direction therefore a more complex attractor can be obtained. Due to its great potential in tec...

In this paper, an improved multi-dimensional hyperchaotic system derived from the logistic map and ICMIC based on closed-loop coupling (LICC system) is proposed it used in design of selective image encryption. The performance analysis shows that LICC with a strong degree has parameters whose value can be set more flexibly generate wider uniform distribution chaotic sequences. Then encryption pr...

This paper investigates the hybrid chaos synchronization of identical hyperchaotic Newton-Leipnik systems (Ghosh and Bhattacharya, 2010) by sliding mode control. The stability results derived in this paper for the hybrid chaos synchronization of identical hyperchaotic Newton-Leipnik systems are established using Lyapunov stability theory. Hybrid synchronization of hyperchaotic Newton-Leipnik sy...