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Giesl, P (2003) Unbounded basins of attraction of limit cycles. Acta Mathematica Universitatis Comenianae, 72 (1). pp. 81-110. ISSN 0862-9544
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Official URL: http://pc2.iam.fmph.uniba.sk/amuc/_vol-72/_no_1/_g...
Abstract
Consider a dynamical system given by a system of autonomous ordinary differential equations. In this paper we provide a sufficient local condition for an unbounded subset of the phase space to belong to the basin of attraction of a limit cycle. This condition also guarantees the existence and uniqueness of such a limit cycle, if that subset is compact. If the subset is unbounded, the positive orbits of all points of this set either are unbounded or tend to a unique limit cycle.
Item Type: | Article |
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Schools and Departments: | Professional Services > IT Services |
Depositing User: | Peter Giesl |
Date Deposited: | 06 Feb 2012 20:19 |
Last Modified: | 10 Jul 2012 09:38 |
URI: | http://srodev.sussex.ac.uk/id/eprint/25415 |