Anatomical studies demonstrate that brain reformats input information to generate reliable responses for performing computations. However, it remains unclear how neural circuits encode complex spatio-temporal patterns. We show that neural dynamics are strongly influenced by the phase alignment between the input and the spontaneous chaotic activity. Input structuring along the dominant chaotic p...

In chaos synchronization, the main goal is to design such controller(s) that synchronizes the states of master and slave system asymptotically globally. This paper studied and investigated the synchronization problem of two identical Chen, and identical Tigan chaotic systems and two non-identical Chen and Tigan chaotic systems using Non-linear active control algorithm. In this study, based on L...

A method of targeting synchronization and its control is reported in chaotic oscillators. This proposes design of appropriate coupling using an open-plus-closed-loop (OPCL) scheme based on Hurwitz stability to establish a desired state of synchrony between the oscillators. In the synchronization state, a chaotic attractor can be scaled up or down in size relative to another attractor. Additiona...

We present and experimentally demonstrate a technique for achieving and maintaining a global state of identical synchrony of an arbitrary network of chaotic oscillators even when the coupling strengths are unknown and time-varying. At each node an adaptive synchronization algorithm dynamically estimates the current strength of the net coupling signal to that node. We experimentally demonstrate ...

Abstract: In this paper,we propose a low effort control scheme for chaotic systems by using fuzzy model-based design method. First, we represent nonlinear systems into T-S fuzzy models in a working region covering the point to be regulated. The stability condition of the overall system is formulated into (LMIs). To guarantee the stability, the region of attraction is also investigated. Accordin...

We analyze a nonlinear discrete-time Cournot duopoly game, where players have heterogeneous expectations. Two types of players are considered: boundedly rational and naive expectations. In this study we show that the dynamics of the duopoly game with players whose beliefs are heterogeneous, may become complicated. The model gives more complex chaotic and unpredictable trajectories as a conseque...

In this paper, an observer-based adaptive feedback controller is developed for a class of chaotic systems. This controller does not need the availability of state variables. It can be used for tracking a smooth orbit that can be a limit cycle or a chaotic orbit of another system. This adaptive feedback controller is constructed with the aid of its H∞ control technique to achieve the H∞ tracking...

In this paper, the robust stabilization for a class of uncertain nonlinear systems with single input is investigated. Based on the time-domain approach, a linear controller is offered to realize the global exponential stability of such uncertain nonlinear systems. This result can be straightforwardly applicable to some famous uncertain chaotic systems. Besides, it will be proven that a single a...

This work discusses synchronization between two chaotic dynamical systems of different order, using an adaptive control scheme. The problem is closely related to the synchronization of strictly different chaotic systems. We show that the dynamical evolution of a fourth-order system can be synchronized with canonical projections of a third-order system. In this sense, it may be said that synchro...

We propose the construction of electromagnetic (or electronic) switches and beam splitters by use of chaotic two-dimensional multiport waveguides. A prototype two-port waveguide is locally deformed to produce a ternary incomplete horseshoe characteristic of mixed phase space (chaotic regions surrounding islands of stability where motion is regular). Owing to tunneling to the phase-space stabili...