Abstract
Newton's second law is examined for the motion of a particle subject to a fluctuating force applied impulsively at equal increments of time. The result is coupled mappings which generalize previous two-dimensional map studies. Application is made to the motion of a particle in a symmetric double well potential. Transitions between the wells and escape can be understood in terms of complementary diffusion and impulsive processes which can arise by either self-generated or externally induced fluctuations. The results suggest that stochastic dynamical processes may be understood in terms of the map dynamics.
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