Results 41 to 50 of about 24,647,880 (243)
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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One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1
, 2014 Based on a new stability result of equilibrium point in nonlinear fractional-order systems for fractional-order lying in ...
Rongji Bai, Ping Zhou
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0-1 Test for Chaos in a Fractional Order Financial System with Investment Incentive
Abstract and Applied Analysis, 2013 A new integer-order chaotic financial system is extended by introducing a simple investment incentive into a three-dimensional chaotic financial system.
Baogui Xin, Yuting Li
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Synchronization of Chaotic Fractional – Order Systems
International Journal of Computer Theory and Engineering, 2012 Synchronization of chaotic and Chen system has been done using the active sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and active sliding mode for synchronization.
Mahboubeh Moghaddas +5 more
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Chaos synchronization between fractional-order unified chaotic system and Rossler chaotic system
, 2012 The chaotic dynamics of the unified chaotic system and the Rossler system with different fractional-order are studied in this paper. The research shows that the chaotic attractors can be found in the two systems while the orders of the systems are less ...
Liu K +4 more
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, 2013 In this paper, an incommensurate fractional order (FO) model has been proposed to generate ECG like waveforms. Earlier investigation of ECG like waveform generation is based on two identical Van-der Pol (VdP) family of oscillators, which are coupled by ...
Das, Saptarshi, Maharatna, Koushik
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Chaotic Dynamics of Fractional-Order Liu System
, 2011 In this paper, we numerically investigate the chaotic behaviors of a new fractional-order system. We find that chaotic behaviors exist in the fractional-order system with order less than 3. The lowest order we find to have chaos is 2.4 in such system. In
Xin Gao
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Dynamics Feature and Synchronization of a Robust Fractional‐Order Chaotic System [PDF]
Complexity, 2018 Exploring the dynamics feature of robust chaotic system is an attractive yet recent topic of interest. In this paper, we introduce a three‐dimensional fractional‐order chaotic system. The important finding by analysis is that the position of signal x3 descends at the speed of 1/c as the parameter b increases, and the signal amplitude of x1, x2 can be ...
Xuan-Bing Yang +2 more
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Synchronization of Butterfly Fractional Order Chaotic System
Mathematics, 2020 In this paper, we study the synchronization of a nonlinear fractional system, and analyze its time response and chaotic behaviors. We represent a solution for considered system by employing the Mittag-Leffler matrix function and Jacobian matrix ...
Michal Fečkan +2 more
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Study of a Fractional‐Order Chaotic System Represented by the Caputo Operator [PDF]
Complexity, 2021 This paper is presented on the theory and applications of the fractional‐order chaotic system described by the Caputo fractional derivative. Considering the new fractional model, it is important to establish the presence or absence of chaotic behaviors.
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