# Difference between revisions of "Limit cycle"

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== Definition == | == Definition == | ||

− | A limit cycle in a dynamical system is a closed orbit in phase space, which is the limiting behavior of some trajectories either as <math>t | + | A limit cycle in a dynamical system is a closed orbit in phase space, which is the limiting behavior of some trajectories either as <math>t\rightarrow\infty</math> or <math>t\rightarrow-\infty</math> |

== References == | == References == |

## Revision as of 20:19, 28 October 2009

(under construction)

Original entry: Ian Burgess, Fall 2009

## Definition

A limit cycle in a dynamical system is a closed orbit in phase space, which is the limiting behavior of some trajectories either as <math>t\rightarrow\infty</math> or <math>t\rightarrow-\infty</math>