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出典:『Wikipedia』 (2011/05/06 14:32 UTC 版)

英語による解説

引用

In mathematics, in the area of dynamical systems, a limit-cycle on a plane or a two-dimensional manifold is a closed trajectory in phase space having the property that at least one other trajectory spirals into it either as time approaches infinity or as time approaches negative infinity. Such behavior is exhibited in some nonlinear systems. In the case where all the neighbouring trajectories approach the limit-cycle as time approaches infinity, it is called a stable or attractive limit-cycle (ω-limit cycle). If instead all neighbouring trajectories approach it as time approaches negative infinity, it is an unstable or non-attractive limit-cycle (α-limit cycle).