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In bifurcation theory one usually considers systems with parameters whose values are independent of time. However, in applications, situations are often encountered where the parameters slowly evolve over time. In this situation new phenomena may arise. For example, a stable equilibrium may, as a parameter changes, disappear or become unstable; and then the state of the system must change rapidly (compared with the rate of change of the parameter) to a new state of motion (an attractor).
KeywordsContact Structure Slow Variable Relaxation Oscillation Bifurcation Theory Phase Curve
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