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Multicavity formations and complexity modulation in a hyperchaotic discrete system

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  • He, Shaobo
  • Banerjee, Santo

Abstract

This paper introduces a novel and unified approach for controlling the directions and number of cavities of a two dimensional Sine ICMIC modulation map (2D-SIMM). Two controllers are added to the system for arranging the cavity fluctuations and translating the cavities respectively. Both the controllers can effectively redesign the dynamics of reproducing cavities in different directions with grid representations. The dynamics of the proposed controlled model are investigated with bifurcation, Lyapunov and FuzzyEn algorithms under various cavity formations in different directions. A relationship is established for the complexity of the phase space with the directional control and various arrangements of the sinusoidal cavities. The proposed model is overall hyperchaotic with the high complexity in the whole parameter plane. The proposed scheme is effective for a dynamical model to reproduce the self phase structure in various arrangements for the optimization and modulation of complexity.

Suggested Citation

  • He, Shaobo & Banerjee, Santo, 2018. "Multicavity formations and complexity modulation in a hyperchaotic discrete system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 366-377.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:366-377
    DOI: 10.1016/j.physa.2017.08.007
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    References listed on IDEAS

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    1. He, Shaobo & Sun, Kehui & Wang, Huihai, 2016. "Multivariate permutation entropy and its application for complexity analysis of chaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 812-823.
    2. Shang, Du & Xu, Mengjia & Shang, Pengjian, 2017. "Generalized sample entropy analysis for traffic signals based on similarity measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 1-7.
    3. Ahmad, Wajdi M., 2005. "Generation and control of multi-scroll chaotic attractors in fractional order systems," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 727-735.
    4. Restrepo, Juan F. & Schlotthauer, Gastón & Torres, María E., 2014. "Maximum approximate entropy and r threshold: A new approach for regularity changes detection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 97-109.
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    Cited by:

    1. Yan, Bo & Palit, Sanjay K. & Mukherjee, Sayan & Banerjee, Santo, 2019. "Signature of complexity in time–frequency domain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    2. Wu, Chenyang & Sun, Kehui, 2022. "Generation of multicavity maps with different behaviours and its DSP implementation," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    3. Palit, Sanjay K. & Mukherjee, Sayan, 2021. "A study on dynamics and multiscale complexity of a neuro system," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).

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