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Projectively lag synchronization and uncertain parameters identification of a new hyperchaotic system

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Abstract

This paper investigates projectively lag synchronization of a new hyperchaotic system (proposed by Yang et al. in Nonlinear Anal., Real World Appl., 10:1601, 2009), with certain/uncertain parameters. Based on the Lyapunov function constructing method and application of the Babarǎt lemma, projectively lag synchronization is achieved for the new hyperchaotic system by designing nonlinear controllers. Furthermore, a novel method is proposed to identify unknown parameters based on projectively lag synchronization of the new hyperchaotic system. Finally, several numerical simulations are given to verify and test the correctness and effectiveness of the novel methods we proposed.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Hui Liu & Jun-an Lu

  2. College of Science, Wuhan University of Science and Engineering, Wuhan, 430073, China

    Qunjiao Zhang

Authors
  1. Hui Liu
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  2. Jun-an Lu
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  3. Qunjiao Zhang
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Corresponding author

Correspondence to Jun-an Lu.

Additional information

This work is supported by National Natural Science Foundation of China under Grants 70771084 and 60974081, by National Basic Research (973) Program of China under Grant 2007CB310805.

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Liu, H., Lu, Ja. & Zhang, Q. Projectively lag synchronization and uncertain parameters identification of a new hyperchaotic system. Nonlinear Dyn 62, 427–435 (2010). https://doi.org/10.1007/s11071-010-9729-z

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  • DOI: https://doi.org/10.1007/s11071-010-9729-z

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