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The Poincare map of randomly perturbed periodic motion
Poincare map random perturbations limit cycle Dynamical Systems
2012/6/15
A system of autonomous differential equations with a stable limit cycle and perturbed by small white noise is analyzed in this work. In the vicinity of the limit cycle of the unperturbed deterministic...
On evaluation of the topological degree of the Poincare map in some singular situations
the topological the Poincare map singular situations
2010/11/11
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 arriv...