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Authors
Advisor(s)
Abstract(s)
The longtime
behaviour of a two dimensional system of ordinary
differential equations with singularities is studied using conveniently defined positively
invariant sets and auxiliary functions. The approach uses only elementary techniques
of phase plane analysis and provides a good geometric insight into the dynamical
behaviour of the system. It provides dynamical information analogous to what is
usually obtained via centre manifold techniques but does not require the flow to be
defined at the limit point.
Description
Keywords
Ordinary diferential equations Asymptotic behaviour of solutions Invariant regions
Citation
Costa, Fernando Pestana da - Dynamics of a differential system using invariant regions. "L'Enseignement Mathematique" [Em linha]. ISSN 0425-0818. Vol. 53, nº 2 (2007), p. 3-14
Publisher
The International Commission on Mathematical Instruction