A class of ergodic solutions of nonlinear differential equations and numerical treatment
In this paper, we give existence theorems of a class of ergodic solutions, pseudo almost-periodic solutions, for nonlinear differential equations. Based on these, a useful numerical method of such kind of solutions for nonlinear differential equations is established. A numerical example of the ergodic type nonlinear oscillation equation is illustrated by both the symplectic scheme and the method of computing initial value for the pseudo almost-periodic solution. (C) 2000 Elsevier Science Ltd. All rights reserved.
nonlinear differential equations pseudo almost-periodic solutions exponential trichotomy numerical solution of initial value problem