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PUBLICATIONS

The Use of Melnikov Processes for the Identification of a Class of Multistable Systems

Published

Author(s)

Marek Franaszek, Emil Simiu

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
Fire and Buildings and Construction

Citation

Franaszek, M. and Simiu, E. (2017), The Use of Melnikov Processes for the Identification of a Class of Multistable Systems, European Control Conference (Accessed October 10, 2025)

Issues

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Created February 19, 2017
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