On a problem of forced nonlinear oscillations. numerical example of bifurcation into an invariant torus

DOI10.1016/0362-546X(78)90067-6zbMath0411.34022OpenAlexW2021268335MaRDI QIDQ4199063

M. Defilippi, Gérard Iooss, Robert Bouc

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0362-546x(78)90067-6

zbMATH Keywords

nonlinear oscillationsinvariant torusbifurcation of solutionnumerical approximations of solutions

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory for ordinary differential equations (34A99) Numerical analysis in abstract spaces (65J99)

Related Items

Convergence Results for Invariant Curve Algorithms ⋮ Existence theorem of an invariant torus of solutions to a periodic differential system ⋮ Computation, continuation, and bifurcation of torus solutions for dissipative maps and ordinary differential equations ⋮ Sur le calcul de la partie principale d'un tore de bifurcation pour un système différentiel périodique

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