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A new multi-stable chaotic hyperjerk system, its special features, circuit realization, control and synchronization

Pham Viet-Thanh, Vaidyanathan Sundarapandian, Volos Christos, Jafari Sajad, Kapitaniak Tomasz

Archives of Control Sciences

2020

Vol. 30, No. 1

23--45

Researchers have paid significant attention on hyperjerk systems, especial hyperjerk ones with chaos. A new hyperjerk system with seven terms and two parameters is analyzed. Chaotic attractors as well as coexisting attractors are displayed by the hyperjerk system. Thus it is a new multi-stable chaotic hyperjerk system. Further properties of the proposed hyperjerk system such as circuit design and backstepping-based control and synchronization are reported.

Chaos in a simple snap system with only one nonlinearity, its adaptive control and real circuit design

Pham Viet-Thanh, Vaidyanathan Sundarapandian, Volos Christos, Jafari Sajad, Alsaadi Fawaz E., Alsaadi Fuad E.

Archives of Control Sciences

2019

Vol. 29, No. 1

73--96

We study an elegant snap system with only one nonlinear term, which is a quadratic nonlinearity. The snap system displays chaotic attractors, which are controlled easily by changing a system parameter. By using analysis, simulations and a real circuit, the dynamics of such a snap system has been investigated. We also investigate backstepping based adaptive control schemes for the new snap system with unknown parameters.