Results 11 to 20 of about 37,160 (263)
Special Characteristics and Synchronizations of Multi Hybrid-Order Chaotic Systems
Entropy, 2020 Based on advantages of integer and fractional chaotic systems, hybrid chaotic systems and their definitions and some fundamental concepts are proposed, such as hybrid degree (HD), the lowest order (LO) and the total dimension order (TDO). The preliminary
Jiaxun Liu +4 more
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Synchronization of fractional order chaotic systems [PDF]
Physical Review E, 2003 The chaotic dynamics of fractional order systems begin to attract much attentions in recent years. In this brief report, we study the master-slave synchronization of fractional order chaotic systems. It is shown that fractional order chaotic systems can also be synchronized.
Li, Chunguang +2 more
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Introduction to the fractional-order chaotic system under fractional operator in Caputo sense
Alexandria Engineering Journal, 2021 In this paper, we consider a new fractional-order chaotic system described by the Caputo fractional derivative. This paper’s main objective is to analyze the bifurcation maps to detect the chaotic regions for a new fractional-order chaotic system.
Ndolane Sene
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Chaotic attractors that exist only in fractional-order case
Journal of Advanced Research, 2023 Introduction: Studying chaotic dynamics in fractional- and integer-order dynamical systems has let researchers understand and predict the mechanisms of related non-linear phenomena.
A.E. Matouk
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A Novel Random Number Generator Based on Fractional Order Chaotic Chua System
Elektronika ir Elektrotechnika, 2020 One of the practical applications of chaotic systems is the design of a random number generator. In the literature, generally random number generators are designed using discrete time chaotic systems.
Fatih Ozkaynak
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Journal of Low Frequency Noise, Vibration and Active Control, 2023 Chaotic systems arise everywhere in control theory and nonlinear vibration. This paper uses a high-precision numerical approach for capturing chaotic attractors of the fractional EI Ni ñ o chaotic systems.
Ke-Qiang Zhang, Xue-Jun Cao, Yu-Lan Wang
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Frontiers in Applied Mathematics and Statistics, 2023 This paper presents the fractional-order projection of a chaotic system, which delivers a collection of self-excited and hidden chaotic attractors as a function of a single system parameter.
Fernando E. Serrano +2 more
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A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points
Discrete Dynamics in Nature and Society, 2013 A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system.
Ping Zhou, Kun Huang, Chun-de Yang
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Synchronization of fractional chaotic systems based on a simple Lyapunov function
Advances in Difference Equations, 2017 In this paper the synchronization of fractional-order chaotic systems and a new property of fractional derivatives are studied. Then we propose a new fractional-order extension of Lyapunov direct method to control the fractional-order chaotic systems.
Tianzeng Li, Yu Wang, Chao Zhao
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Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems
Discrete Dynamics in Nature and Society, 2022 Self-excited and hidden chaotic attractors are interesting complex dynamical phenomena. Here, Matouk’s hyperchaotic systems are shown to have self-excited and hidden chaotic attractors, respectively.
A. Othman Almatroud +4 more
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