Tipping points and non-autonomous systems?

A reason that nonautonomous systems are relevant is that they provide a framework to discuss transitions of a nonlinear system through a “tipping point”. For slow variation of an input forcing, nonlinear systems may have sudden changes in the number of stable states due to some of them becoming unstable. This gets even more interesting when there are more rapid chances in input forcing at “rate dependent” effects can appear.

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