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On the smoothness of bounded invariant manifolds of linear inhomogeneous extensions of dynamical systems

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Abstract

We establish sufficient conditions for the existence of smooth bounded invariant manifolds of dynamical systems.

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References

  1. Yu. A. Mitropol’skii and V. L. Kulik, “Differentiale invariant manifolds of dynamical systems,”Differents. Uravn.,22, No. 9, 1523–1532 (1986).

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  2. A. M. Samoilenko,Elements of the Mathematical Theory of Multifrequency Oscillations [in Russian], Nauka, Moscow 1987.

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  3. Yu. A. Mitropol’skii, A. M. Samoilenko, and V. L. Kulik,Investigation of the Dichotomy of Linear Systems of Differential Equations by Using Lyapunov Functions [in Russian], Naukova Dumka, Kiev 1990.

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Authors
  1. I. M. Grod
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Grod, I.M. On the smoothness of bounded invariant manifolds of linear inhomogeneous extensions of dynamical systems. Ukr Math J 48, 154–157 (1996). https://doi.org/10.1007/BF02390994

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  • DOI: https://doi.org/10.1007/BF02390994

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