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An improved theory of asymptotic unfoldings

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abstract (3.270Ko)
Date
2009-08-01
Auteur
Malonza, D. M.
Murdock, J.
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Résumé
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.
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http://ac.els-cdn.com/S0022039609001910/1-s2.0-S0022039609001910-main.pdf?_tid=9d8fca58-1974-11e4-99e2-00000aab0f27&acdnat=1406895117_ae5cc7dd8c59c87ca58df00bef87b285
http://ir-library.ku.ac.ke/handle/123456789/10834
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  • RP-Department of Mathematics [81]

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