Stochastic Model for Adaptation Using Basin Hopping Dynamics

An analysis is presented for adaptive selection of modes using bifurcation of mode-hopping dynamics in a multi-basin system. The analysis utilizes a formalism based on coarse-grained state transitions. Stochastic state transition probabilities are used to derive expressions for mode search times and adaptation rates. This approach can be applied to the tuning of dynamical instabilities in flexible control systems