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Invariant manifolds of one class of systems of impulsive differential equations

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Nonlinear Oscillations

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.

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References

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Authors and Affiliations

  1. Shevchenko Kyiv National University, Kyiv, Ukraine

    M. O. Perestyuk & P. V. Feketa

Authors
  1. M. O. Perestyuk
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  2. P. V. Feketa
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Correspondence to M. O. Perestyuk.

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Translated from Neliniini Kolyvannya, Vol. 13, No. 2, pp. 240–252, April–June, 2010.

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Perestyuk, M.O., Feketa, P.V. Invariant manifolds of one class of systems of impulsive differential equations. Nonlinear Oscill 13, 260–273 (2010). https://doi.org/10.1007/s11072-010-0112-2

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  • DOI: https://doi.org/10.1007/s11072-010-0112-2

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