Advertisement

Multidimensional Analogues of the van der Pol Equation

  • G. A. Leonov
  • I. M. Burkin
  • A. I. Shepeljavyi
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 357)

Abstract

As we have already noted in §1.1, by a multidimensional analogue of the van der Pol equation we mean a dynamical system with a minimal global attractor, containing a cycle and a unique Lyapunov unstable state of equilibrium. Various concrete three — dimensional systems possessing this property have been studied in the classical works of K.O.Friedrichs [123], L.L.Rauch [317], B.V.Shirokorad [334] and others.

Keywords

Periodic Solution Frequency Criterion Negative Real Part Invariant Torus Positive Real Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • G. A. Leonov
    • 1
  • I. M. Burkin
    • 2
  • A. I. Shepeljavyi
    • 1
  1. 1.Department of Mathematics and MechanicsSt Petersburg UniversitySt PetersburgRussia
  2. 2.Tula Technical UniversityTulaRussia

Personalised recommendations