Heyuan Wang

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A seven-mode truncation system of the Navier-Stokes equations for a two-dimensional incompressible fluid on a torus is considered. Its stationary solutions and stability are presented, the existence of attractor and the global stability of the system are discussed. The whole process, which shows a chaos behavior approached through an involved sequence of(More)
In this paper, the dynamical behavior of a new chaotic system is discussed, the globally exponentially attractive set and positive invariant set of the chaotic systems are studied via the generalized Lyapunov function, the result is applied to the study of chaos synchronization, and the globally exponential synchronization of the chaotic system is achieved.(More)
In this paper, a chemical reaction which was first proposed by Willamowski and Rössler is introduced. In order to improve the effect of chemical reactions, a parameter adaptive method is designed to make the chemical reaction chaotic. This adaptive control method can make the parameters converges to the expected target value and assurance the system(More)
A new chaotic system, which is three-mode truncation of Couette-Taylor flow, is discussed. The globally exponentially attractive set and positive invariant set of the chaotic system are studied via Lyapunov function. Feedback control and adaptive control methods are used to achieve the globally exponentially synchronization. Numerical simulation results(More)
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