Parameter identification of fractional-order chaotic power systems is a multidimensional optimization problem that plays a decisive role in the synchronization and control of fractional-order chaotic power systems.
Chunyu Ai, Shan He, Xiaochao Fan
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Soil Salinization Level Monitoring and Classifying by Mixed Chaotic Systems
Soil salinization process is a complex non-linear dynamic evolution. To classify a system with this type of non-linear characteristic, this study proposed a mixed master/slave chaotic system based on Chua’s circuit and a fractional-order Chen-Lee chaotic
Anhong Tian +4 more
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Bifurcation and Chaos in Fractional-Order Systems
This book presents a collection of seven technical papers on fractional-order complex systems, especially chaotic systems with hidden attractors and symmetries, in the research front of the field, which will be beneficial for scientific researchers ...
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Parametric Control on Fractional-Order Response for Lü Chaotic System [PDF]
This paper discusses the influence of the fractional order parameter on conventional chaotic systems. These fractional-order parameters increase the system degree of freedom allowing it to enter new domains and thus it can be used as a control for such ...
Salama, Khaled N. +4 more
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Control and Synchronization of the Fractional‐Order Lorenz Chaotic System via Fractional‐Order Derivative [PDF]
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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Active Control of a Chaotic Fractional Order Economic System [PDF]
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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A Fractional-Order Chaotic System With Infinite Attractor Coexistence and its DSP Implementation
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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Chaotic attractors that exist only in fractional-order case
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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Stabilization of a fractional-order chain of integrators: a contraction-based approach [PDF]
In this paper, stabilization of a chain of fractional-order integrators is attempted. The stability is proved using contraction analysis.
SPURGEON, S +8 more
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On Class of Fractional-Order Chaotic or Hyperchaotic Systems in the Context of the Caputo Fractional-Order Derivative [PDF]
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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