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- W2889654248 abstract "This paper constructs a new physical system, i.e., the fractional-order Rabinovich system, and investigates its stability, chaotic behaviors, chaotic control and matrix projective synchronization. Firstly, two Lemmas of the new system's stability at three equilibrium points are given and proved. Next, the largest Lyapunov exponent, the corresponding bifurcation diagram and the chaotic behaviors are studied. Then, the linear and nonlinear feedback controllers are designed to realize the system's local asymptotical stability and the global asymptotical stability, respectively. It's particularly significant that, the fractional matrix projective synchronization between two Rabinovich systems is achieved and two kinds of proofs are provided for Theorem 4.1. Especially, under certain degenerative conditions, the fractional matrix projective synchronization can be reduced to the complete synchronization, anti-synchronization, projective synchronization and modified projective synchronization of the fractional-order Rabinovich systems. Finally, all the theoretical analysis is verified by numerical simulation." @default.
- W2889654248 created "2018-09-27" @default.
- W2889654248 creator A5031617542 @default.
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- W2889654248 date "2018-10-01" @default.
- W2889654248 modified "2023-10-15" @default.
- W2889654248 title "Dynamical analysis of a new fractional-order Rabinovich system and its fractional matrix projective synchronization" @default.
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- W2889654248 doi "https://doi.org/10.1016/j.cjph.2018.09.014" @default.
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