Annotation

It is shown that the singular set of an extended “inverse” integral curve $x(y)$ of the Van der Pol equation is covered with local extrema of $x(y)$ that are stable with respect to small perturbations in the equation. As a consequence, the qualitative behavior of $x(y)$ can be determined and some of its important properties can be understood.

Rissian citation:

И.П. Павлоцкий, М.Б. Садовникова, М. Стрианезе.

Некоторые качественные свойства уравнения Ван дер Поля как следствие его сингулярного множества. Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2007. № 4. С. 23.

© 2016 Publisher M.V.Lomonosov Moscow State University

Authors

I.P. Pavlotsky$^1$, B.I. Sadovnikov$^2$, M. Strianese$^1$

$^1$Second University of Naples, Caserta, 81031, Italy

$^2$Department of Quantum Statistics and Field Theory, Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

$^1$Second University of Naples, Caserta, 81031, Italy

$^2$Department of Quantum Statistics and Field Theory, Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia