Franaszek, M.
and Simiu, E.
(2017),
The Use of Melnikov Processes for the Identification of a Class of Multistable Systems, European Control Conference
(Accessed January 25, 2025)
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The Use of Melnikov Processes for the Identification of a Class of Multistable Systems
Published
Author(s)
,
Abstract
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.Citation
European Control Conference
Pub Type
Journals
Keywords
building technology, chaos, Melnikov processes, system identification
Citation
Issues
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Created February 19, 2017