Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors

Chengqun Zhou; Chunhua Yang; Degang Xu; Chao-Yang Chen

doi:10.1109/ACCESS.2019.2911486

IEEE Access (Jan 2019)

Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors

Chengqun Zhou,
Chunhua Yang,
Degang Xu,
Chao-Yang Chen

Affiliations

Chengqun Zhou: School of Information Science and Engineering, Central South University, Changsha, China
Chunhua Yang: School of Information Science and Engineering, Central South University, Changsha, China
Degang Xu: School of Information Science and Engineering, Central South University, Changsha, China
Chao-Yang Chen: ORCiD; School of Information Science and Engineering, Central South University, Changsha, China

DOI: https://doi.org/10.1109/ACCESS.2019.2911486
Journal volume & issue: Vol. 7
pp. 52896 – 52902

Abstract

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This paper generates an augmented hyperchaotic system from the famous Lorenz system. The hyperchaotic system has complex dynamic properties, including stability, periodicity, multiple coexisting attractors, period-doubling and Hopf bifurcations, and hyperchaos for different parameter conditions and all these dynamic properties are presented by detailed theoretical and numerical analysis. Moreover, the finite-time synchronization of the hyperchaotic system is considered by using the state-error controller. Both the sufficient conditions for finite-time synchronization and the corresponding finite time are strictly established.

Published in IEEE Access

ISSN: 2169-3536 (Online)
Publisher: IEEE
Country of publisher: United States
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering
Website: https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639

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