Words abbreviation anti synchronization as combinationanti synchronization cas uncertainchaotic uc antisynchronizationcontrol asc lyapunovs. Noiseinduced complete synchronization of identical chaotic oscillators. We will first discuss this hierarchy in two coupled chaotic oscillators and latter. Generalized synchronization of chaos in directly coupled chaotic.
We experimentally demonstrate and numerically simulate an adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when. Adaptive synchronization of chuas oscillators, int. A new fractionalorder hyperchaotic memristor oscillator. We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and timevarying e. The technique is applied to optoelectronic feedback loops exhibiting high. Adaptive synchronization strategies in a network of nonlinear oscillators have been a topic of much interest e.
Adaptive synchronization of coupled chaotic oscillators photonics. Pdf a new criterion is given for choosing the coupling constant in a. A design of appropriate coupling is proposed using an. Two chaotic food chains having different kinds of toppredators are synchronized using a recently proposed algorithm by lu and cao lu j, cao j. An electronic circuit for such a resistance can be found in. In this paper, the adaptive synchronization method of three coupled identical.
Considering systems of diffusively coupled identical chaotic oscillators, an effective method to determine the possible states of cluster synchronization and ensure their stability is presented. Adaptive synchronization of coupled chaotic oscillators arxiv. Pdf a method of targeting synchronization and its control is reported in chaotic oscillators. Murphy,1,5 edward ott,1,2,5 and rajarshi roy1,2,3 1institute for research in electronics and applied physics, university of maryland, college park, maryland 20742, usa 2department of physics, university of maryland, college park, maryland 20742, usa. A new criterion for synchronization of coupled chaotic oscillators with application to chuas circuits. Adaptive cluster synchronization in coupled phase oscillators. Adaptive synchronization of chaotic systems and its application to. Noiseenhanced phase synchronization in weakly coupled chaotic oscillators. The performance of the proposed finitetime adaptive synchronizing controller. We experimentally demonstrate and numerically simulate an adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and timevarying e. Adaptive synchronization of globally coupled chaotic. We proposed a performanceimproved finitetime adaptive synchronizing controllers and parameter update laws for coupling the dynamics of identical 4d hyperchaotic flows.
Adaptive coupled synchronization among three coupled chaos. Pdf adaptive synchronization of coupled chaotic oscillators. The technique is applied to optoelectronic feedback loops exhibiting high dimensional chaotic dynamics. Recently, based on stability theory, synchronization of coupled chaotic systems by designing appropriate coupling has been widely investigated. Pdf a method of targeting synchronization and its control is reported in chaotic. Synchronization in chaotic systems has received increasing attention 16 with several. The circuit diagram of the chaotic system is shown on fig. Pdf targeting and control of synchronization in chaotic oscillators. Adaptive synchronization of coupled chaotic oscillators. The present study proposes a new fractionalorder hyperchaotic memristor oscillator. Complete synchronization of coupled identical chaotic oscillators nonsynchronization.
Synchronization of hyperchaotic oscillators using a scalar signal. Synchronization of coupled chaotic systems has been a subject of great interest and importance, in theory but also various. Sorrentino and ott 10 proposed and simulated an efficient adaptive algorithm that maintains synchronization among a network of connected dynamical systems in the presence of a priori unknown timevarying coupling. Synchronized dynamics of hyperchaotic flows via an.
Adaptive coupled synchronization of coupled chaotic. Simple adaptive synchronization of chaotic systems with random components. Pdf a new criterion for synchronization of coupled chaotic. The proposed system is studied through numerical simulations and. Given certain structural conditions of chaotic systems, an adaptive.
Oscillation death in coupled counter rotating identical. Adaptive elimination of synchronization in coupled oscillator. Adaptive synchronization of coupled chaotic oscillators bhargava ravoori,1,2 adam b. The fourdimensional hyperchaotic flows consists of 12 terms and 11 system parameters and possessed very rich dynamics and larger parameter space. Adaptive control and synchronization of chaotic systems consisting. Adaptive complete synchronization of two identical. Adaptive control and synchronization of chaotic systems. However, an improved, new and simple equivalent model more suitable for pspice simulations is shown on fig.
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