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2015 Integer and Fractional General T-System and Its Application to Control Chaos and Synchronization
Mihaela Neamţu, Anamaria Liţoiu, Petru C. Strain
Abstr. Appl. Anal. 2015: 1-14 (2015). DOI: 10.1155/2015/413540

Abstract

We propose a three-dimensional autonomous nonlinear system, called the general T system, which has potential applications in secure communications and the electronic circuit. For the general T system with delayed feedback, regarding the delay as bifurcation parameter, we investigate the effect of the time delay on its dynamics. We determine conditions for the existence of the Hopf bifurcations and analyze their direction and stability. Also, the fractional order general T-system is proposed and analyzed. We provide some numerical simulations, where the chaos attractor and the dynamics of the Lyapunov coefficients are taken into consideration. The effectiveness of the chaotic control and synchronization on schemes for the new fractional order chaotic system are verified by numerical simulations.

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Mihaela Neamţu. Anamaria Liţoiu. Petru C. Strain. "Integer and Fractional General T-System and Its Application to Control Chaos and Synchronization." Abstr. Appl. Anal. 2015 1 - 14, 2015. https://doi.org/10.1155/2015/413540

Information

Published: 2015
First available in Project Euclid: 17 August 2015

zbMATH: 06929048
MathSciNet: MR3356636
Digital Object Identifier: 10.1155/2015/413540

Rights: Copyright © 2015 Hindawi

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