Remarks on Forced Oscillations on Manifolds

We find sufficient conditions for the existence of forced oscillations on a manifold in the presence of dissipation in the system. We also give sufficient conditions for the existence of forced oscillations in systems without dissipation in the case when the driving force is small.

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Publication Details

Journal
Proceedings of the Steklov Institute of Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1134/s0081543824060191
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

Remarks on Forced Oscillations on Manifolds

Ivan Polekhin
Proceedings of the Steklov Institute of Mathematics
Geometric Analysis and Curvature Flows
article

Remarks on Forced Oscillations on Manifolds

Ivan Polekhin
article en

Abstract

We find sufficient conditions for the existence of forced oscillations on a manifold in the presence of dissipation in the system. We also give sufficient conditions for the existence of forced oscillations in systems without dissipation in the case when the driving force is small.

Proceedings of the Steklov Institute of MathematicsVol. 327(1)
Russian Academy of Sciences (RU), Moscow Institute of Physics and Technology (RU), Moscow Power Engineering Institute (RU), Yaroslavl State University (RU), Lomonosov Moscow State University (RU), Steklov Mathematical Institute (RU), Moscow Aviation Institute (RU)
Reduced inequalities
Openalex Percentile: Top 55%
Geometric Analysis and Curvature Flows
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