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Nonlinear Oscillations

, Volume 13, Issue 2, pp 260–273 | Cite as

Invariant manifolds of one class of systems of impulsive differential equations

  • M. O. Perestyuk
  • P. V. Feketa
Article

We consider general problems related to the existence of invariant toroidal sets for linear and weakly nonlinear systems of impulsive differential equations defined in the direct product of an m-dimensional torus and an n-dimensional Euclidean space. We investigate classes of problems for which the conditions for the existence of invariant toroidal manifolds are satisfied.

Keywords

Invariant Manifold Invariant Torus Pulse Action Impulsive Differential Equation Impulsive System 
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.

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Shevchenko Kyiv National UniversityKyivUkraine

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