The brushless dc motor (BLDCM) with multi-time scales is an electric machine. By coupled BLDCM, it is discovered that chaotic routes of the uncoupled systems influence synchronous result of coupled identical and nonidentical chaotic systems. Another multi-time scales form, Hindmarsh–Rose (HR) neurons, when the chaotic parameter is selected only in the range of the period-doubling route to chaos...

Two different “wave chaotic” systems, involving complex eigenvalues or resonances, can be analyzed using common semiclassical methods. In particular, one obtains fractal Weyl upper bounds for the density of resonances/eigenvalues near the real axis, and a classical dynamical criterion for a spectral gap.

The aim of this paper is to make a contribution to the development of the new stronger cryptographic algorithm using chaotic systems and hyperelliptic curve. In this context, the Diffie-Hellman scheme is implemented with chaotic systems and ElGamal scheme is constructed with hyperelliptic curves. Futhermore, the complexity algorithm is determinated for proposed algorithm. Also, this algorithm i...

In this paper, the problems on chaos control and synchronization of Li chaotic systems with unknown parameters are considered. Firstly, the Li chaotic systems are introduced. Secondly, the adaptive control system with only two state feedbacks for synchronization of the Li chaotic systems is presented and the parameter identification method is also given. Sufficient conditions for the stability ...

This paper presents a new approach to solve synchronization problem of a large class of discrete chaotic systems. The chaotic systems can be reformulated as an appropriate class of linear parameter varying (LPV) systems. Then, based on the LPV representation, a neural network observer-based approach is proposed to solve the synchronization problem. The simulation results show the advantages of ...

This paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test called 0-1 test for chaos. Chaotic synchronization between two rank-one chaotic systems without and with delay is achieved by means of Lyapunov functional and linear delayed feedback control method. Numerical simulations are implemented to verify the effectiveness of the proposed chaos synchron...

Methods of attacking chaotic encryption algorithms have been developed. These methods have been applied to all the published chaotic encryption systems and all these systems are broken in very short computer times. Counter measures have also been developed in order to make chaotic encryption secure. Several examples and results are given.

In this study, chaotic itinerancy phenomena on coupled chaotic circuits are investigated. A piecewise linear element included in a chaotic circuit consists of 4n 1 segments. In this circuit, we can confirm ndouble scrolls or various scrolls attractors. The features of the obtained results are respected for various engineering systems such as chaos communication systems with robustness against v...

The chaotic dynamics of fractional (non-integer) order systems have begun to attract much attention in recent years. In this paper, we study the projective synchronization in two coupled fractional order chaotic oscillators. It is shown that projective synchronization can also exist in coupled fractional order chaotic systems. A simple feedback control method for controlling the scaling factor ...