[PDF] Top 20 A fractional order form of a system with stable equilibria and its synchronization

... Lorenz system [15], Chen system [16], Lü system [17], or Yang’s system [18, 19], have one saddle and two unstable ...with stable equilibria [20, ... See full document

... a system can operate ...chaotic synchronization. At present, the main chaotic synchronization criterion is based on the synchronization criterion of Lyapunov exponent and the ... See full document

... Mittag-Leffler synchronization of drive–response systems (5)–(6) will be ...error system (8) is said to be globally Mittag- Leffler stable if there exist two positive constants N and λ such that, for any ... See full document

... form synchronization, called modified generalized projective synchronization (MGPS), where the drive and response systems can be synchronized up to a transformation ma- trix that is not diagonal, will ... See full document

... systems, form both economical and technical. Recently, a new fractional-order chaotic system was proposed and dynamical analysis was ...on synchronization of the drive and response ... See full document

... Generally, one can classify the main problems in chaos control into three cases: sta- bilization , chaotification, and synchronization. The stabilization problem of the unstable periodic solution (orbit) arises in ... See full document

... forcing its states to be asymptotically stable, usually converging to- wards zero [22, ...of fractional chaotic ...the synchronization of integer-order chaotic and hyperchaotic maps ... See full document

... literature, synchronization of fractional-order or integer-order chaotic systems was mainly ...discussed. Synchronization between fractional-order and integer-order ... See full document

... that fractional calculus is the generalization of integer-order calculus to arbitrary ...models, fractional-order calculus offers an excellent instrument for the description of memory and ... See full document

... generalized synchronization control of fractional order chaotic system, the key is to use response output signal of the drive system to influence the dynamic behavior of response ... See full document

... cluster synchronization of coupled genetic regulatory networks with delays via aperiod- ically adaptive intermittent ...finite-time synchronization of delayed dynamical networks via aperiodically ... See full document

... Abstract. The aim of this paper is to establish the existence of at least one positive solution for a coupled system of higher order two-point fractional order boundary value problems under ... See full document

... of synchronization prob- lems in low-dimensional nonlinear dynamical ...for synchronization has moved to high-dimensional nonlinear dynamical systems ...investigated synchronization of spatially ... See full document

... in order to improve efficiency, a two-way consultation mechanism for global scheduling is ...agent system decreases obviously, along with the improvement of negotiation by the two-way consultation ... See full document

... (49). When the system rotates, parametric vibrations can occur. To reduce the occurrence of parametric vibrations, it is necessary to increase the frequency of the clutch radial stiffness in such a way that it is ... See full document

... processes. Fractional derivatives have better flexibility as the comparison to classical integer order models, in which system dynamics not taken into ...of fractional derivatives become more ... See full document

... a system of nonlinear fractional order infinite-point boundary value prob- ...the fractional order boundary value problems for any arbitrary positive integer ... See full document

... coordinate system and setting an appropriate dimension to every state variable, we can get the following more simplified model with only three most important parameters:(Mohammed Salah Abd-Elouahab et ... See full document

... technology, fractional calculus has been extensively applied in many ...the fractional calculus. Ahmed et al. [16] developed the fractional-order predator-prey model and the ... See full document

... are stable under ...Nash equilibria of the game to fluctuate ...Nash equilibria more efficiently than the general result of Lipton et ...for stable games, the approximate equilibria ... See full document