The work is supported by the National Natural Science FOundation of China !(No. 19871070).
The existence of spurious steady solutions and period-2 solutions in constant timestep is studied. The concepts of R[1]-regularity and R[2]-regularity of a class of hybrid methods for dynamical systems of ordinary dif...
In this paper, a problem of stabilizing a period-T orbit in discrete Chaotic m degree polynomial dynamical systems is studied. The aim is to present a new method for determining the neighborhood of a period-T point in...
An Optimal method of constructing low-dimensional dynamical systems directly from PDEs is outlined in this communication.The results show that this new method can catch much more dynamical behavior of nonlinear PDE sy...
An optimal metliod in constructing low-dimensional dynahacal systems ofNavier-Stokes equations has been outlined in this communication. Results on closed oropen domain viscous flows show that the new method is better ...