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Volume 3 Issue 2
Apr.  2016

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2016  >  3(2): 157-164
Zeeshan Alam, Liguo Yuan and Qigui Yang, "Chaos and Combination Synchronization of a New Fractional-order System with Two Stable Node-foci," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 2, pp. 157-164, 2016.
Citation: Zeeshan Alam, Liguo Yuan and Qigui Yang, "Chaos and Combination Synchronization of a New Fractional-order System with Two Stable Node-foci," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 2, pp. 157-164, 2016.
shu

Chaos and Combination Synchronization of a New Fractional-order System with Two Stable Node-foci

  • 1. School of Mathematics, South China University of Technology, Guangzhou 510640, China;

  • 2. School of Mathematics and Information, South China Agricultural University, Guangzhou 510640, China

Funds:

This work was supported by National Natural Science Foundation of China (11271139), Guangdong Natural Science Foundation (2014A030313256, S2013040016144), Science and Technology Projects of Guangdong Province (2013B010101009), and Tianhe Science and Technology Foundation of Guangzhou (201301YG027).

    Abstract
  • A new fractional-order Lorenz-like system with two stable node-foci has been thoroughly studied in this paper. Some sufficient conditions for the local stability of equilibria considering both commensurate and incommensurate cases are given. In addition, with the effective dimension less than three, the minimum effective dimension of the system is approximated as 2.8485 and is verified numerically. It should be affirmed that the linear differential equation in fractional-order Lorenzlike system appears to be less sensitive to the damping, represented by a fractional derivative, than the two other nonlinear equations. Furthermore, combination synchronization of this system is analyzed with the help of nonlinear feedback control method. Theoretical results are verified by performing numerical simulations.

     

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