Integer and Fractional General T-System and Its Application to Control Chaos and Synchronization
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 th...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/413540 |
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| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |