The Use of Melnikov Processes for the Identification of a Class of Multistable Systems
Marek Franaszek, Emil Simiu
We review briefly basic Melnikov theory for both deterministic and stochastic systems. We then show how the theory can be used for the identification of a class of multistable systems for which experimental data are available on the relation between excitation frequency and rate of escape from a potential well. We illustrate our approach for the case of the auditory nerve fiber, for which the use of Melnikov theory yields a model that provides a transparent phenomenological description of the system behavior, and performs considerably better than the the classical Fitzhugh-Nagumo equation.
European Control Conference
building technology, chaos, Melnikov processes, system identification