In this paper, we derive new results for backstepping controller design for the anti-synchronization of Arneodo chaotic system (1980). Backstepping control is a recursive procedure that combines the choice of a Lyapunov function with the design of a feedback controller. In anti-synchronization of chaotic systems, the states of the synchronized systems have the same absolute values, but opposite...

Chaotic signals produced by nonlinear systems can be used for encrypting the transmitting messages in secure communications. Synchronization of chaotic systems has an important role in this field of science. Figure 1 shows how chaotic signals and chaos synchronization are utilized for secure communication. The message is a signal that should be transferred in a secure encrypted form. Using two ...

Complex responses, including chaotic responses, were observed through physiological experiments with biological neurons. To include these complex responses, the chaotic neuron model was proposed. Chaotic dynamical systems have been applied to logical systems, and to information and signal processing systems. In this paper, we propose a dynamic logic element with a chaotic transition region usin...

Chaotic dynamical systems characteristically exhibit erratic, seemingly random, behavior. They are highly sensitive to initial conditions. Any alteration to the state of a chaotic system will eventually lead to very large differences in behavior. Until recently, the preferred approach to chaotic dynamical systems has been to avoid them. A method developed by Ott, Grebogi, and Yorke (OGY) takes ...

It has been known that noise can enhance the temporal regularity of dynamical systems that exhibit a bursting behavior--the phenomenon of coherence resonance. But can the phenomenon be expected for nonbursting chaotic systems? We present a theoretical argument based on the idea of time-scale matching and provide experimental evidence with a chaotic electronic circuit for coherence resonance in ...

In recent years, a growing number of cryptosystems based on chaos have been proposed. The majority of them are based on parameter modulation of a chaotic oscillator being the transmitter while the receiver is also a chaotic system synchronized by means of an adaptive observer. For example, a Lorenz’s attractor is used as the non-linear time-varying system while the encryption process modulates ...

‎Rough extreme learning machines (RELMs) are rough-neural networks with one hidden layer where the parameters between the inputs and hidden neurons are arbitrarily chosen and never updated‎. ‎In this paper‎, ‎we propose RELMs with a stable online learning algorithm for the identification of continuous-time nonlinear systems in the presence of noises and uncertainties‎, ‎and we prove the global ...

In this paper, we discuss anti-synchronization between two identical new chaotic systems and anti-synchronization between another two identical new chaotic systems by active nonlinear control. The sufficient conditions for achieving the anti-synchronization of two new chaotic systems are derived based on Lyapunov stability theory. Numerical simulations are provided for illustration and verifica...

We provide a scheme for the synchronization of two chaotic mobile robots when a mismatch between the parameter values of the systems to be synchronized is present. We have shown how meta-heuristic optimization can be used to adapt the parameters in two coupled systems such that the two systems are synchronized, although their behavior is chaotic and they have started with different initial cond...

Studies on spatio-temporal phenomena observed from coupled chaotic networks, namely coupled systems of many chaotic cells, are classified into two categories; namely discrete time systems and continuous time systems. For discrete time systems Kaneko’s coupled map lattice is the most interesting and well-studied system [l]. He discovered various nonlinear spatiotemporal chaotic phenomena such as...