arXiv:1011.1453 Abstract | arXiv Analytics

arXiv:1011.1453 [math.DS]Abstract References Reviews Resources

On evaluation of the topological degree of the Poincare map in some singular situations

Published 2010-11-05Version 1

In the paper we develop a method to evaluate the topological degree of the Poincare map of the mathematical model of narrow lagoon subject to a T-periodic forcing. Using the method developved we arrive to the conditions for the parameteres that guarantee the existence of T-periodic solutions in a given region. The difficulty towards implementing this plan is caused by the fact that the direct employing of M.A. Krasnoselski-A.I. Perov irreversibility approach leads to a singular vector field.

Comments: 9 pages, 2 figures

Categories: math.DS

Subjects: 34C05

Keywords: poincare map, topological degree, singular situations, evaluation, singular vector field

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