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

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

2010-11-05

arxiv.org/abs/1011.1453v1

Mathematics

Dynamical Systems

9 pages, 2 figures

Scientific paper

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.

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