Existence and stability of a quasi-periodic two-dimensional motion of a self-propelled particle

DOI10.1007/s13160-024-00661-7MaRDI QIDQ6614956

Yuki Koyano, Kota Ikeda, Hiroyuki Kitahata

Publication date: 8 October 2024

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

quasi-periodic solutionaveraging methodnormally hyperbolic invariant manifold\(O(2)\) symmetry

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Averaging method for ordinary differential equations (34C29) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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