Faculty of Physics
M.V.Lomonosov Moscow State University
Regular Article

Some qualitative properties of the Van der Pol equation inferred from its singular set

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

Moscow University Physics Bulletin 2007. 62. N 4. P. 226

  • Article

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.
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
Issue 4, 2007

Moscow University Physics Bulletin

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