Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

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

Keywords

building technology, chaos, Melnikov processes, system identification

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 May 27, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created February 19, 2017