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In this paper, shape optimization is employed to improve the stability of the flow past an elastically mounted circular cylinder at subcritical Reynolds numbers (Re < 47). As a key criterion for the stability of fluid-structure interaction system, dynamic derivative is adopted as the object of the optimization. The parametrization of the cross section is based on the class-shape function transformation...
In the paper, the spatiotemporal dynamics of a phytoplankton-fish system with a Holling type-II functional response and harvest effect are investigate mathematically and numerically. Mathematical theoretical works have been pursuing the investigation of the stability of the equilibrium point of the phytoplankton fish system. All these results are expected to be of use in the study of phytoplankton-fish...
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...
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