[PDF] Top 20 Adaptive synchronization between chaotic dynamical systems of different order

... of dynamical systems: their observability and their ...the synchronization systems is that differential geometry allows one to find an invariant space under vector fields where the attractor ... 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

... achieve synchronization between the systems of fractional order and integer ...of synchronization, in first case synchronization for three dimensional integer order Cai ... See full document

... Explosive synchronization (ES), as one kind of abrupt dynamical transitions in nonlinearly coupled systems, has become a hot spot of modern complex ...of chaotic dynamics on ... See full document

... exists between the two systems such that the coupling is bidirectional and the two systems interact dynamically, giving rise to a complex dynamical ...where systems are modeled by ... See full document

... non-linear dynamical systems, chaos is investigated in scientific and engineering disciplines, for example, power electronic circuit ...power systems (Harb and Nabi, 2003), medicine (Coffey, ...of ... See full document

... new synchronization scheme is presented by combining the concept of reduced-order synchronization with multi-switching synchronization ...hybrid synchronization, is notable addition to ... See full document

... two different chaotic systems is ...theory, adaptive control scheme is proposed when system parameters are unknown or uncertain; sufficient conditions for the stability of the error dynamics ... See full document

... the chaotic behavior, chaotic con- trol, and synchronization of fractional-order dynamical ...an order as low as . can produce a chaotic attractor ...Duffing ... See full document

... continuous dynamical systems that exhibit chaotic behavior using the symbolic computer algebra system ...higher-dimensional chaotic dynamical systems is generally a difficult ... See full document

... complex dynamical beha- viors and have attracted much attention in the field of nonlinear ...on synchronization between time-delayed chaotic systems has been exten- sively carried out, ... See full document

... nonlinear dynamical systems and obtained some extraordinary nice conclusions [1]-[20], and these research results have been fully reflected in the practical application ...nonlinear dynamical ... See full document

... fractional-order chaotic systems has received interest of many ...the synchronization of a new fractional- order hyperchaotic system via active control [21], Wang, Yu and Diao in [22] ... See full document

... the systems are in the chaotic regime. The systems (10) and (11) are solved using fourth Runge-Kutta method, and time step is set as ...two different time delay values of τ = ... See full document

... Chaotic systems are dynamical systems that are highly sensitive to initial ...chaos synchronization problem has been studied extensively and intensively in the literature ...physical ... See full document

... differential chaotic systems [22, ...the synchronization between the coupled Duffing oscillators with time delays by using the linear feedback control method and their ...global ... See full document

... Motivated by the aforementioned interesting literature, based on the Lyapunov direct method, we consider employing two scaling matrices to synchronize fractional-order and integer-order chaotic ... See full document

... of chaotic systems. The synchronization is one of the main control methods of these systems, which were intro- duced in a paper by Pecorra and Carrol in  ...years, synchronization ... See full document

... projective synchronization of different fractional- order multiple chaotic systems with fully uncertain parameters, uncertainties, distur- bances, and nonlinear ...an adaptive sliding ... See full document

... generalized synchronization and the inverse generalized synchronization of different dimensional spatial chaotic dynamical systems are ...generalized synchronization ... See full document