Results 21 to 30 of about 2,773 (237)
Control and Synchronization of the Fractional‐Order Lorenz Chaotic System via Fractional‐Order Derivative [PDF]
Mathematical Problems in Engineering, 2012 The unstable equilibrium points of the fractional‐order Lorenz chaotic system can be controlled via fractional‐order derivative, and chaos synchronization for the fractional‐order Lorenz chaotic system can be achieved via fractional‐order derivative. The control and synchronization technique, based on stability theory of fractional‐order systems, is ...
Zhou, Ping, Ding, Rui
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Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems [PDF]
Advances in Mathematical Physics, 2018 Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. A novel fractional-order sliding surface, which is composed of a synchronization error and its fractional-order integral, is ...
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Compound Generalized Function Projective Synchronization for Fractional-Order Chaotic Systems
Discrete Dynamics in Nature and Society, 2016 A modified function projective synchronization for fractional-order chaotic system, called compound generalized function projective synchronization (CGFPS), is proposed theoretically in this paper.
Chunde Yang, Hao Cai, Ping Zhou
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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 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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Entropy, 2015 In this paper, a projective synchronization approach for a class of fractional-order chaotic systems with fractional-order 1 < q < 2 is demonstrated. The projective synchronization approach is established through precise theorization. To illustrate
Ping Zhou, Rongji Bai, Jiming Zheng
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A Fractional-Order Chaotic System With Infinite Attractor Coexistence and its DSP Implementation
IEEE Access, 2020 In this article, the fractional calculus is introduced into a simplest memristive circuit to construct a new four-dimensional fractional-order chaotic system.
Tianming Liu +3 more
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Advances in Mathematical Physics, 2019 In this paper, we present a corresponding fractional order three-dimensional autonomous chaotic system based on a new class of integer order chaotic systems.
Yan Cui +3 more
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Active Control of a Chaotic Fractional Order Economic System [PDF]
Entropy, 2015 In this paper, a fractional order economic system is studied. An active control technique is applied to control chaos in this system. The stabilization of equilibria is obtained by both theoretical analysis and the simulation result. The numerical simulations, via the improved Adams–Bashforth algorithm, show the effectiveness of the proposed controller.
Haci Mehmet Baskonus +3 more
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On Class of Fractional-Order Chaotic or Hyperchaotic Systems in the Context of the Caputo Fractional-Order Derivative [PDF]
Journal of Mathematics, 2020 In this paper, we consider a class of fractional-order systems described by the Caputo derivative. The behaviors of the dynamics of this particular class of fractional-order systems will be proposed and experienced by a numerical scheme to obtain the phase portraits.
Ndolane Sene, Ameth Ndiaye
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