[PDF] Top 20 Partial synchronization of non-identical chaotic systems via adaptive control, with applications to modelling coupled nonlinear systems

... two identical dynamical systems has been studied by many authors, for example: Ashwin et ...using adaptive control type methods, the process is referred to as adaptive ... See full document

... chaos synchronization of multiple chaotic systems has received con- siderable attention among scholars in various fields of ...Chaos synchronization has been used in a wide range of physics and ... See full document

... chaos synchronization such as PC method [2], OGY method [9], active control [10-12], adaptive control [13-14], time-delay feedback approach [15], backstepping design method [16], sampled-data ... See full document

... frontier, adaptive control method [] is an effective way to es- timate the unknown parameters due to its advantages on witnessed rapid and impres- sive developments leading to global stability and tracking ... See full document

... arbitrary non-integer ...into chaotic system and investigated the rich dynamics of fractional chaotic system, meanwhile, abundant literatures have been reported in succession ...the chaotic ... See full document

... the synchronization of master-slave chaotic systems has become a hot research topic in the nonlinear science ...potential applications in the real world such as the secure ... See full document

... oscillatory systems are very common both in nature and in ...in synchronization between the oscillations of the two systems - an effect first observed between a pair pendulum clocks by Huygens in ... See full document

... order chaotic behaviour has a wide range of applications in image processing, secure communication, information encrypion, ...Therefore, synchronization of frac- tional order chaotic ... See full document

... anti-phase synchronization of two non-identical autonomous chaotic systems is ...two systems are neither diffeomorphic nor topologically equivalent, but possessed chaotic ... See full document

... of nonlinear systems, particularly chaotic systems, has attracted the attention of many research- ers [1] ...Many control techniques have been devised for chaos synchronization ... See full document

... chaos synchronization for a class of chaotic system is ...impulsive control theory and by constructing a novel Lyapunov functional, new impulsive synchronization strategies are presented and ... See full document

... the synchronization diagrams of coupled Lü and Chen systems are contrasted with the Lorenz system, between which the differences are very ap- parent, as shown in Figure 2 ( α = ...the coupled ... See full document

... The outline of this paper is organized as follows: In Section 2, the stability theorem for nonlinear systems is given, and a reduced order active control method is further proposed based on the given ... See full document

... Since chaotic system in nonlinear system has the property of extreme sensitivity [1] to initial values and the unpredictable nature in a long time [2], so in order to take full advantage of chaos in ... See full document

... fractional systems is an important subject since it brings us a step closer to establishing the existence of chaos and serves as a basis for proving the convergence of a system’s states to zero (or some other ... See full document

... the adaptive synchronization of identical uncertain Li systems ...the adaptive synchronization of identical uncertain T systems ...the adaptive ... See full document

... fractional-order systems, control and stabilization of fractional-order systems have at- tracted the attention of many scholars in the past decade ...order chaotic systems has become an ... See full document

... applied nonlinear science during the last ...chaos control involving stabilization of unstable periodic or stationary states in nonlinear dynamic systems has been extended to a much wider ... See full document

... time control technique we discussed here is based on continuous state ...and control laws are introduced. In Section 3, finite- time synchronization of two Lorenz systems is ...finite-time ... See full document

... memristor systems, in section 3 we dwelled on Synchronization of Memristors systems about finding the control functions which are important to make the trajectories of the state variables of ... See full document