In this paper we report results on synchronization of two simple four-dimensional hyperchaotic electronic circuit by means of the linear coupling method. We prove analytically that using appropriate coupling these hyperchaotic systems synchronizes for all initial conditions. In simulations we observe that synchronization is also possible when the systems are coupled using only one variable. Thi...

The problem of hybrid projective synchronization (HPS) strategies and control for the Baier–Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters is considered. Based on the Lasalle invariance principle and adaptive control method, adaptive controllers and parameters update laws are given for the HPS between two identical hyper-chaotic systems with fully unknown parameters. Us...

In this paper, a unified fuzzy H∞ control approach is proposed to deal with the problem of synchronization of two different hyperchaotic systems. The T–S fuzzy models with a small number of fuzzy IF-THEN rules are employed to represent many typical hyperchaotic systems exactly. Based on the T–S fuzzy hyperchaotic models, a fuzzy H∞ synchronization controller is designed via parallel distributed...

In this paper, the adaptive control design is investigated for chaos synchronization of two identical hyperchaotic Liu systems. First, an law with inputs proposed based on Lyapunov stability theory. Secondly, other schemes are obtained a further analysis law. Finally, numerical simulations presented to validate effectiveness and correctness these results.

A novel 4-D hyperchaotic system that have seven positive parameters in third order with thirteen terms is proposed,in this paper, the proposed chaotic behavior proved by analysis of Lyapunov's exponent, fractional dimension, zero-one test, sensitivity dependent on initial condition (SDIC), phase portraits, and waveform analysis, study offers an innovative designed image encryption algorithm dep...