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A new chaotic attractor and its robust function projective synchronization

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Abstract

We introduce a simple chaotic system that contains one multiplier and one quadratic term. The system is similar to the generalized Lorenz system but is not topologically equivalent. The properties of the proposed chaotic system are examined by theoretical and numerical analysis. An analog chaotic circuit is implemented that realizes the chaotic system for the verification of its attractor. Furthermore, we propose a robust function projective synchronization using time delay estimation. A numerical simulation of synchronization between the proposed system and the Lorenz system demonstrates that the proposed approach provides fast and robust synchronization even in the presence of unknown parameter variations and disturbances.

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Acknowledgements

This work was supported in part by the DGIST R&D Program of the Ministry of Education, Science, and Technology of Korea (11-BD-0402) and in part by the Technology Innovation Program 10040106 of the Ministry of Knowledge Economy, Korea.

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Authors and Affiliations

  1. Department of Mechanical Engineering, KAIST, Deajeon, 305-701, Korea

    Dongwon Kim, Pyung Hun Chang & Se-hwan Kim

  2. Robotics Engineering Department, Daegu-Gyeongbuk Institute of Science and Technology, Daegu, 711-873, Korea

    Pyung Hun Chang

Authors
  1. Dongwon Kim
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  2. Pyung Hun Chang
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  3. Se-hwan Kim
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Correspondence to Dongwon Kim.

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Kim, D., Chang, P.H. & Kim, Sh. A new chaotic attractor and its robust function projective synchronization. Nonlinear Dyn 73, 1883–1893 (2013). https://doi.org/10.1007/s11071-013-0911-y

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  • DOI: https://doi.org/10.1007/s11071-013-0911-y

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