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...

Anne Chao and Liza Levina reflect on an “extraordinarily brilliant student”.

In this paper, a non-linear bi-directional coupling of two Chua’s circuits is presented. The coupling is obtained by using polynomial functions that are symmetric with respect to the state variables of the two Chua’s circuits. Both a transverse and a tangent system are studied to ensure a global validity of the results in the state space. First, it is shown that the transverse system is an auto...

In this paper identical and generalized synchronization and the complex dynamics of hyperchaotic circuits are exploited for designing reliable cryptosystems. Since chaotic additive masking, chaotic switching and chaotic parameter modulation methods can have a low degree of security, an attempt to overcome this drawback is made by utilizing hyperchaotic circuits which make available several chao...

In this paper, we investigate adaptive switched generalized function projective synchronization between two new different hyperchaotic systems with unknown parameters, which is an extension of the switched modified function projective synchronization scheme. Based on the Lyapunov stability theory, corresponding adaptive controllers with appropriate parameter update laws are constructed to achie...

We investigate the dynamical origin for the occurrence of asynchronous hyperchaos and chaos via blowout bifurcations in coupled chaotic systems. An asynchronous hyperchaotic or chaotic attractor with a positive or negative second Lyapunov exponent appears through a blowout bifurcation. It is found that the sign of the second Lyapunov exponent of the newly born asynchronous attractor, exhibiting...

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...