The Symplectic Study of Motions in a Perturbed Van-Der-Pol Dynamical System |
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| Authors: | M I Kopych R Basiura A K Prykarpatsky |
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| Institution: | (1) The Pidstrygach Institute of Applied Problems in Mechanics and Mathematics of the National Academy of Science of Ukraine, Lviv;(2) Department of Applied Mathematics at the AGH, Krakow, Poland |
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| Abstract: | We study a weakly perturbed van-der-Pol dynamical system and the structure of its trajectory behavior via the modern symplectic theory. Based on a Samoilenko–Prykarpatsky method of studying integral submanifolds of weakly perturbed completely integrable Hamiltonian systems, we prove the regularity of deformations of the Lagrangian asymptotic submanifolds in a vicinity of the hyperbolic periodic orbit. |
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