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Chaotic attractor with varied parameters

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Abstract

Based on the parameter estimation technologies of the chaotic systems, and the chaotic systems which produce chaotic attractors while their parmeters are varied, a new model of the chaotic attractors is proposed. The parameters of the proposed model are varied as same as the state variables of the traditional chaotic attractors. The variation ranges and values of the varied parameters are designed to produce the required chaotic attractors. As the parameter variation of the chaotic systems affects the chaotic attractors, it also affects the Lyaponov exponents and the complexity of the chaotic systems. It affects the construction methods of the chaotic attractor by affecting the point equilibria of the attractor. The results of the numerical simulation show that the variation process of the parameters can positively affect the sensitivity of the system to its initial conditions, which increase the values of the largest Lyapunov exponent. It also stabilizes the complexity level throughout the range of the varied parameters.

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Authors and Affiliations

  1. School of Physics and Electronics, Central South University, Changsha, 410083, P.R. China

    Abdulaziz O. A. Alamodi, Kehui Sun & Yuexi Peng

Authors
  1. Abdulaziz O. A. Alamodi
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  2. Kehui Sun
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  3. Yuexi Peng
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Correspondence to Kehui Sun.

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Alamodi, A.O.A., Sun, K. & Peng, Y. Chaotic attractor with varied parameters. Eur. Phys. J. Spec. Top. 229, 1095–1108 (2020). https://doi.org/10.1140/epjst/e2020-900179-6

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  • DOI: https://doi.org/10.1140/epjst/e2020-900179-6

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