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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.
    3. Daniel A. Magallón & Rider Jaimes-Reátegui & Juan H. García-López & Guillermo Huerta-Cuellar & Didier López-Mancilla & Alexander N. Pisarchik, 2022. "Control of Multistability in an Erbium-Doped Fiber Laser by an Artificial Neural Network: A Numerical Approach," Mathematics, MDPI, vol. 10(17), pages 1-20, September.
    4. Zhinan Li & Chunbiao Li & Akif Akgul & Lvqing Bi & Yicheng Jiang & Zenghui Wang, 2022. "Rössler-like Neuronal Firing with Local Amplitude Control," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, December.
    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).
    6. Zhoubin Sheng & Chunbiao Li & Yikai Gao & Zhinan Li & Lin Chai, 2023. "A Switchable Chaotic Oscillator with Multiscale Amplitude/Frequency Control," Mathematics, MDPI, vol. 11(3), pages 1-11, January.
    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.
    9. Valle, João & Machicao, Jeaneth & Bruno, Odemir M., 2022. "Chaotical PRNG based on composition of logistic and tent maps using deep-zoom," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    10. Sukegawa, Noriyoshi & Ikeguchi, Tohru, 2022. "How to perturb Bernoulli shift map," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    11. Meng Liu & Zhaoyan Wu & Xinchu Fu, 2022. "Dynamical Analysis of a One- and Two-Scroll Chaotic System," Mathematics, MDPI, vol. 10(24), pages 1-14, December.
    12. J. L. Echenausía-Monroy & J. H. García-López & R. Jaimes-Reátegui & D. López-Mancilla & G. Huerta-Cuellar, 2018. "Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF," Complexity, Hindawi, vol. 2018, pages 1-9, October.
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