Results 201 to 210 of about 2,773 (237)
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Chaotic synchronization for a class of fractional-order chaotic systems
Chinese Physics, 2007In this paper, a very simple synchronization method is presented for a class of fractional-order chaotic systems only via feedback control. The synchronization technique, based on the stability theory of fractional-order systems, is simple and theoretically rigorous.
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Circuit realization of a fractional-order chaotic jerk system
2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST), 2017In this paper, the analysis, design and circuit synthesis of a fractional-order form of a chaotic jerk system is presented. The proposed system is one of the simplest member of the jerk system's family, because it has the least number of terms, one of which is the unique nonlinear term of the system. For the first time, the hyperbolic sine term is used
Christos K. Volos +5 more
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SYNCHRONIZATION AND GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER CHAOTIC SYSTEMS
Modern Physics Letters B, 2009In this paper, based on the modified state observer method, synchronization and generalized synchronization of a class of fractional order chaotic systems are presented. The two synchronization approaches are theoretically and numerically studied and two simple criterions are proposed.
Wang, Xing-Yuan, Zhang, Jing
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The Synchronization of a Fractional-Order Chaotic System
Advanced Materials Research, 2013In this paper, the synchronization of fractional-orderchaotic system is studied. Based on the fractional stability theory, suitable controller is designed to realize the synchronization between fractional-order system and a integer-order system. Numerical simulations show that the effectiveness and feasibility of the controllers .
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Fractional-Order Chaotic Systems
2011This contribution deals with the fractional-order chaotic systems. A survey of the chaotic systems, where total order of the system is less than 3 is presented. With using a fractional derivative a chaos can be observed in such system in spite of usual notation that chaos can occur in system with order 3 and more.
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Synchronization of fractional order chaotic systems
Physics Letters A, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dynamic analysis of a fractional-order Lorenz chaotic system☆
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Yongguang +3 more
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AN APPLICATION OF ADOMIAN DECOMPOSITION FOR ANALYSIS OF FRACTIONAL-ORDER CHAOTIC SYSTEMS
International Journal of Bifurcation and Chaos, 2013Fractional-order differential equations are interesting for their applications in the construction of mathematical models in finance, materials science or diffusion. Various methods for obtaining analytic solutions of nonlinear evolution equations have been proposed.
Riccardo Caponetto, Stefano Fazzino
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Chaotic Control in Fractional-Order Discrete-Time Systems
2019In recent years, fractional discrete-time calculus has become somewhat of a hot topic. A few researchers have attempted to develop a framework for the subject and investigate the stability and application of fractional discrete-time chaotic system. In this study, a general method to control fractional discrete-time chaotic systems is proposed. Based on
Adel Ouannas +4 more
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Chaotic dynamics and synchronization of fractional-order Arneodo’s systems
Chaos, Solitons & Fractals, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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