Journal Article10.1177/1077546312472921
Modified function projective lag synchronization in fractional-order chaotic (hyperchaotic) systems
Luo Chao,Wang Xing-Yuan +1 more
17
TL;DR: In this paper, a modified function projective lag synchronization (MFPLS) for fractional-order chaotic (hyperchaotic) systems is proposed, considering fractional derivatives do not satisfy th...
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Abstract: In this paper, a novel modified function projective lag synchronization (MFPLS) for fractional-order chaotic (hyperchaotic) systems is proposed. Considering fractional derivatives do not satisfy th...
read more
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Citations
Image encryption technique based on fractional chaotic time series
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Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay
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Robust modified function projective lag synchronization between two nonlinear complex networks with different-dimensional nodes and disturbances
TL;DR: A theoretical investigation on the robust modified function projective lag synchronization (MFPLS) between two complex networks with nonlinear couplings, different-dimensional nodes, parameter disturbances and external disturbances is concerned.
32
Projective–lag synchronization scheme between two different discrete-time chaotic systems
Cun-Fang Feng,Hai-Jun Yang +1 more
TL;DR: This paper realizes projective–lag synchronization in discrete-time chaotic systems with the same order based on the Lyapunov stability theory and a nonlinear control scheme, and finds sufficient conditions for the stability of the error dynamics.
20
Simple estimation method for the largest Lyapunov exponent of continuous fractional-order differential equations
Shuang Zhou,Xingyuan Wang +1 more
TL;DR: In this article, a simple method based on the perturbation of the initial value is presented to directly estimate the largest Lyapunov exponent (LLE) from continuous fractional-order differential equations.
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References
Synchronization in chaotic systems
TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
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Fractional Calculus in Bioengineering
Richard L. Magin
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TL;DR: Fractional calculus (integral and differential operations of noninteger order) is not often used to model biological systems, which is surprising because the methods of fractional calculus, when defined as a Laplace or Fourier convolution product, are suitable for solving many problems in biomedical research.
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Chaos in a fractional order Chua's system
TL;DR: It is demonstrated that systems of "order" less than three can exhibit chaos as well as other nonlinear behavior, which effectively forces a clarification of the definition of order.
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Chaos in a fractional order Chua's system
TL;DR: In this article, the effects of fractional dynamics in chaotic systems were studied and it was demonstrated that systems of "order" less than three can exhibit chaos as well as other nonlinear behavior.