Existence theorem of an invariant torus of solutions to a periodic differential system

DOI10.1016/0362-546X(81)90044-4zbMath0448.34048OpenAlexW1977689117MaRDI QIDQ3894260

Elaine Thoulouze-Pratt

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90044-4

zbMATH Keywords

almost periodic solutionssmooth differential systemPoincare mappinginvariant torus of solutions

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (1)

Convergence Results for Invariant Curve Algorithms

Cites Work

• Généralisation de la méthode de la moyenne
• Nonlinear autonomous oscillations. Analytical theory
• On the phenomenon of the combination type resonance in non-linear two- degree-of-freedom systems
• Stable and Random Motions in Dynamical Systems
• On a problem of forced nonlinear oscillations. numerical example of bifurcation into an invariant torus
• Almost Periodic Flows and Solutions of Differential Equations
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