Recently, based on stability theory, synchronization of coupled chaotic systems by designing appropriate coupling has been widely investigated. Two chaotic food chains having different kinds of toppredators are synchronized using a recently proposed algorithm by lu and cao lu j, cao j. Adaptive elimination of synchronization in coupled oscillator. Adaptive synchronization of globally coupled chaotic. We will first discuss this hierarchy in two coupled chaotic oscillators and latter. Adaptive cluster synchronization in coupled phase oscillators. The performance of the proposed finitetime adaptive synchronizing controller. Synchronized dynamics of hyperchaotic flows via an. Adaptive synchronization of coupled chaotic oscillators bhargava ravoori,1,2 adam b. An electronic circuit for such a resistance can be found in. Adaptive synchronization of chuas oscillators, int.
Adaptive synchronization strategies in a network of nonlinear oscillators have been a topic of much interest e. In this paper, the adaptive synchronization method of three coupled identical. Complete synchronization of coupled identical chaotic oscillators nonsynchronization. Synchronization of hyperchaotic oscillators using a scalar signal. Pdf a method of targeting synchronization and its control is reported in chaotic oscillators. The proposed system is studied through numerical simulations and. Adaptive synchronization of coupled chaotic oscillators. Synchronization in chaotic systems has received increasing attention 16 with several. 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. Given certain structural conditions of chaotic systems, an adaptive. Adaptive synchronization of coupled chaotic oscillators arxiv. Simple adaptive synchronization of chaotic systems with random components.
The technique is applied to optoelectronic feedback loops exhibiting high. A new criterion for synchronization of coupled chaotic oscillators with application to chuas circuits. Pdf targeting and control of synchronization in chaotic oscillators. Adaptive coupled synchronization among three coupled chaos. Pdf adaptive synchronization of coupled chaotic oscillators. Adaptive complete synchronization of two identical. The fourdimensional hyperchaotic flows consists of 12 terms and 11 system parameters and possessed very rich dynamics and larger parameter space. Pdf a method of targeting synchronization and its control is reported in chaotic. A design of appropriate coupling is proposed using an. The present study proposes a new fractionalorder hyperchaotic memristor oscillator. Adaptive control and synchronization of chaotic systems. Pdf a new criterion is given for choosing the coupling constant in a.
Generalized synchronization of chaos in directly coupled chaotic. Adaptive control and synchronization of chaotic systems consisting. Adaptive synchronization of chaotic systems and its application to. We experimentally demonstrate and numerically simulate an adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when. Synchronization of coupled chaotic systems has been a subject of great interest and importance, in theory but also various. The technique is applied to optoelectronic feedback loops exhibiting high dimensional chaotic dynamics. 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.
Pdf a new criterion for synchronization of coupled chaotic. A new fractionalorder hyperchaotic memristor oscillator. 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. Words abbreviation anti synchronization as combinationanti synchronization cas uncertainchaotic uc antisynchronizationcontrol asc lyapunovs. However, an improved, new and simple equivalent model more suitable for pspice simulations is shown on fig. 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. 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. I kyprianidis, i stouboulos, chaotic synchronization of three coupled oscillators. Oscillation death in coupled counter rotating identical. Decentralized identification and control of networks of. Adaptive synchronization of coupled chaotic oscillators photonics. Noiseenhanced phase synchronization in weakly coupled chaotic oscillators. Adaptive coupled synchronization of coupled chaotic. The circuit diagram of the chaotic system is shown on fig.