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- Title
Finite Time Synchronization for Fractional Order Sprott C Systems with Hidden Attractors.
- Authors
Yan, Cui; Hongjun, He; Chenhui, Lu; Guan, Sun
- Abstract
Fractional order systems have a wider range of applications. Hidden attractors are a peculiar phenomenon in nonlinear systems. In this paper, we construct a fractional-order chaotic system with hidden attractors based on the Sprott C system. According to the Adomain decomposition method, we numerically simulate from several algorithms and study the dynamic characteristics of the system through bifurcation diagram, phase diagram, spectral entropy, and C0 complexity. The results of spectral entropy and C0 complexity simulations show that the system is highly complex. In order to apply such research results to engineering practice, for such fractional-order chaotic systems with hidden attractors, we design a controller to synchronize according to the finite-time stability theory. The simulation results show that the synchronization time is short and the robustness is stable. This paper lays the foundation for the study of fractional order systems with hidden attractors.
- Subjects
CHAOS synchronization; ELECTRONIC controller design &; construction; COMPUTER simulation; DOMAIN decomposition methods; BIFURCATION diagrams; NONLINEAR control theory
- Publication
Complexity, 2019, p1
- ISSN
1076-2787
- Publication type
Article
- DOI
10.1155/2019/1612752