An improved theory of asymptotic unfoldings
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Date
2009-08-01
Authors
Malonza, D. M.
Murdock, J.
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
An asymptotic unfolding of a dynamical system near a rest point is a system with additional parameters, such that every one-parameter deformation of the original system can be embedded in the unfolding preserving all properties that can be detected by asymptotic methods. Asymptotic unfoldings are computed using normal (and hypernormal) form methods. We present a simplified and improved method of computing such unfoldings that can be used in any normal form style.
Description
DOI: 10.1016/j.jde.2009.04.014
Keywords
Citation
Journal of Differential Equations Volume 247, Issue 3, 1 August 2009, Pages 685–709