Stationary solutions in applied dynamics: a unified framework for the numerical calculation and stability assessment of periodic and quasi-periodic solutions based on invariant manifolds

DOI10.1002/gamm.202300006zbMATH Open1541.37092MaRDI QIDQ6541704

Simon Bäuerle, Hartmut Hetzler

Publication date: 21 May 2024

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

zbMATH Keywords

stabilityinvariant manifoldsfinite difference discretizationquasi-periodicityLyapunov-exponentstorus solutionsFourier-Galerkin-methodhypertime parametrizationperiodic and quasi-periodic shooting

Mathematics Subject Classification ID

Numerical nonlinear stabilities in dynamical systems (65P40) Computational methods for invariant manifolds of dynamical systems (37M21)

Cites Work

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Related Items (1)

Preface to the topical issue on applied and nonlinear dynamics. II.

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