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Exploring a family of Bernoulli-like shift chaotic maps and its amplitude control

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  • García-Grimaldo, Claudio
  • Campos-Cantón, Eric

Abstract

Chaos theory is a branch of mathematics that studies systems highly sensitive to initial conditions. Various methods for analyzing and controlling these systems, such as bifurcation theory and amplitude control, have been developed and applied in diverse fields, including cryptography, physics, and engineering.

Suggested Citation

  • García-Grimaldo, Claudio & Campos-Cantón, Eric, 2023. "Exploring a family of Bernoulli-like shift chaotic maps and its amplitude control," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008524
    DOI: 10.1016/j.chaos.2023.113951
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    References listed on IDEAS

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    1. R. J. Escalante-González & Eric Campos & Xianggui Guo, 2021. "Emergence of Hidden Attractors through the Rupture of Heteroclinic-Like Orbits of Switched Systems with Self-Excited Attractors," Complexity, Hindawi, vol. 2021, pages 1-24, September.
    2. Xintong Han & Jun Mou & Jinshi Lu & Santo Banerjee & Yinghong Cao, 2023. "Two Discrete Memristive Chaotic Maps And Its Dsp Implementation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(06), pages 1-12.
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    5. Sajjadi, Samaneh Sadat & Baleanu, Dumitru & Jajarmi, Amin & Pirouz, Hassan Mohammadi, 2020. "A new adaptive synchronization and hyperchaos control of a biological snap oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
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    7. Han Bao & Ruoyu Ding & Mengjie Hua & Huagan Wu & Bei Chen, 2022. "Initial-Condition Effects on a Two-Memristor-Based Jerk System," Mathematics, MDPI, vol. 10(3), pages 1-13, January.
    8. Othman Abdullah Almatroud & Viet-Thanh Pham, 2023. "Building Fixed Point-Free Maps with Memristor," Mathematics, MDPI, vol. 11(6), pages 1-11, March.
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    10. Sukegawa, Noriyoshi & Ikeguchi, Tohru, 2022. "How to perturb Bernoulli shift map," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
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