一类高维格点系统平衡解的分支

Bifurcations of equilibria in high-dimentional lattice systems

从反可积极限出发证明了局部映射f=sinπx的二维耦合格点系统有许多平衡解在耦合系数ε较小的时候可以延拓,但不管ε有多小,总有些平衡解会发生分支.通过3个有明确表达式的平衡解,详细说明了它们的分支过程.

We study the equilibria of 2-dimentional coupled ordinary differential equations with local map f=sinπx.Some equilibria of the anti-integrability can persist whenthe coupling coefficient ε is snlall,and others undergo bifurcations.For three special equilibria,we discribe how they bifurcate.