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Complexity
Volume 2019, Article ID 1612752, 9 pages
https://doi.org/10.1155/2019/1612752
Research Article

Finite Time Synchronization for Fractional Order Sprott C Systems with Hidden Attractors

Shanghai University of Engineering Science, Shanghai, China

Correspondence should be addressed to Cui Yan; moc.621@2130nayiuc

Received 14 December 2018; Accepted 13 February 2019; Published 28 February 2019

Academic Editor: Xiaopeng Zhao

Copyright © 2019 Cui Yan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.