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Population migration algorithm is proposed in recent years, it's a new search algorithm for global optimization that mainly simulates population transition mechanism, so far, and there was no unified framework to describe this algorithm. This paper describes the population migration algorithm based on a given framework of swarm intelligence, it helps to understand the principles of the population...
Generalized projective synchronization of time-delayed fractional order chaotic systems is studied. By using the stability theory of linear fractional order systems with time delays, suitable conditions for achieving generalized projective synchronization are given. Numerical simulations coincide with the theoretical analysis.
In the current paper, exponential synchronization is discussed for chaotic neural networks with time-varying delays. Based on Lyapunov stability theory and linear matrix inequality (LMI), a nonlinear feedback control scheme is designed to synchronize the drive system and the response one. The obtained sufficient conditions are in the forms of LMI, so much easier to verify. Moreover, numerical simulation...
In this paper, we study chaotic behaviors in the time-delayed fractional-order neuron network system. Basic properties of the system are analyzed by means of Lyapunov exponents and waveform diagrams. Nonlinear control theory is extended to the time-delayed fractional-order neuron network system. Moreover, chaos synchronization is investigated by the Laplace theorem. The study and experiment indicate...
For a general nonlinear fractional-order differential equation, the numerical solution is a good way to approximate the trajectory of such systems. In this paper, a novel algorithm for numerical solution of fractional-order differential equations based on the definition of Grunwald-Letnikov is presented. The results of numerical solution by using the novel method and the frequency domain method are...
For a general nonlinear fractional-order differential equation, the numerical solution is a good way to approximate the trajectory of such systems. In this paper, a novel algorithm for numerical solution of fractional-order differential equations based on the definition of Grunwald-Letnikov is presented. The results of numerical solution by using the novel method and the frequency domain method are...
In this paper, the small data sets algorithm of calculating the Largest Lyapunov exponent for integer-order systems is used for fractional order systems. As an example, the largest Lyapunov exponent of the fractional-order Rossler system is investigated. The lowest order for this system to have chaotic behavior is presented. The largest Lyapunov exponents of fractional-order Rossler system with different...
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