Melnikov theory for weakly coupled nonlinear RLC circuits
type: Item
instance of: scholarly article
title: Melnikov theory for weakly coupled nonlinear RLC circuits
zbMATH Open document ID: 1315.34018
DOI: 10.1186/1687-2770-2014-101
author: F. Battelli
author: Michal Fečkan
published in: Boundary Value Problems
publication date: 2014-12-02T00:00:00Z
review text: The authors use dynamical system methods and Melnikov theory to study small amplitude perturbation of some coupled implicit differential equations. In addition, they show the persistence of such orbits connecting singularities in finite time provided a Melnikov like condition holds. Application is given to coupled nonlinear RLC system.
reviewed by: Yuqiang Feng
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 34E10
zbMATH DE Number: 6376065
zbMATH Keywords: implicit ODE
zbMATH Keywords: perturbation
zbMATH Keywords: Melnikov method
zbMATH Keywords: RLC circuits
Wikidata QID: Q59395225
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-2770-2014-101
OpenAlex ID: W2128960651
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description: scientific article; zbMATH DE number 6376065