Abstract
A new fractional-order chaotic system with absolute value term is introduced. Some dynamical behaviors are investigated and analyzed. Furthermore, synchronization of this system is achieved by utilizing the drive-response method and the feedback method. The suitable parameters for achieving synchronization are studied. Both the theoretical analysis and numerical simulations show the effectiveness of the two methods.
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Acknowledgements
The authors wish to thank the reviewers for their constructive and pertinent suggestions for improving the presentation of the work. This wok was supported by the Special Scientific Foundation of Yulin Normal University (No. 2009YJZD06), the Natural Science Foundation of Guangxi Province of China (Grant No. 2012GXNSFAA053014) and the Scientific Research Foundation of the Higher Education Institutions of Guangxi Province Province of China (Grant No. 201202ZD080).
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Huang, L., Liu, A. Analysis and synchronization for a new fractional-order chaotic system with absolute value term. Nonlinear Dyn 70, 601–608 (2012). https://doi.org/10.1007/s11071-012-0480-5
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DOI: https://doi.org/10.1007/s11071-012-0480-5