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Absolute term introduced to rebuild the chaotic attractor with constant Lyapunov exponent spectrum

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Abstract

When positive or negative feedback of absolute terms are introduced in dynamic equations of improved chaotic system with constant Lyapunov exponent spectrum, diverse structures of chaotic attractors can be rebuilt, numbers of novel attractors found and subsequently the dynamical behavior property analyzed. Drawing on the concept of global phase reversal and its implementation methods, three main features are discussed and a systematic conclusion is made, that is, the unique class of chaotic system which utilizes merely absolute terms to realize nonlinear function possesses the following three properties: adjustable amplitude, adjustable phase reversal and constant Lyapunov exponent spectrum.

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Authors and Affiliations

  1. School of Information Science and Engineering, Southeast University, Nanjing, 210096, China

    Chunbiao Li

  2. Department of Mechanical and Electrical Engineering, Jiangsu Institute of Economic and Trade Technology, Nanjing, 210007, China

    Chunbiao Li

  3. Engineering Technology Research and Development Center of Jiangsu Circulation Modernization Sensor Network, Jiangsu Institute of Economic and Trade Technology, Nanjing, 210007, China

    Chunbiao Li & Jun Wang

  4. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Wen Hu

Authors
  1. Chunbiao Li
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  2. Jun Wang
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  3. Wen Hu
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Correspondence to Chunbiao Li.

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Li, C., Wang, J. & Hu, W. Absolute term introduced to rebuild the chaotic attractor with constant Lyapunov exponent spectrum. Nonlinear Dyn 68, 575–587 (2012). https://doi.org/10.1007/s11071-011-0239-4

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  • DOI: https://doi.org/10.1007/s11071-011-0239-4

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