Physics, asked by Akankshapriya5816, 1 year ago

Define limit cycle. Also discuss its importance in detail.

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Answered by vasantinikam2004
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A limit cycle is an isolated closed trajectory; this means that its neighbouring trajectories are not closed – they spiral either towards or away from the limit cycle. Thus, limit cycles can only occur in nonlinear systems. ... A stable limit cycle is one which attracts all neighbouring trajectories.

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Answered by manya5198
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DescriptionIn mathematics, in the study of dynamical systems with two-dimensional phase space, a limit cycle 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.

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