Journal
MODERN PHYSICS LETTERS B
Volume 35, Issue 10, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984921501876
Keywords
Memristive hyperchaotic system; coexisting attractors; initial condition; circuit realization; synchronization
Funding
- National Natural Science Foundation of China [61961019]
- Key Research and Development Program of Jiangxi Province of China [20181BBE50017]
- Youth Key Project of Natural Science Foundation of Jiangxi Province of China [20202ACBL212003]
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This paper introduces a novel memristive hyperchaotic system with two equilibria and two symmetric hyperchaotic attractors. The dynamic behaviors of the system are studied through bifurcation analysis, and analog circuit design and experimental implementation are presented. Synchronization of the system is achieved using adaptive control technique, with sufficient conditions established through theoretical and numerical analysis.
This paper constructs a novel memristive hyperchaotic system by introducing the flux-controlled memristor to an extended jerk system. The memristive system has two equilibria and coexists two symmetric hyperchaotic attractors. The dynamic behaviors of the system are studied through bifurcation analysis. The analog circuit design and microcontroller-based experimental implementation of the system are presented. The synchronization of the system is realized by using the adaptive control technique. The sufficient conditions for synchronization are established via theoretical and numerical analysis.
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