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Persistance et bifurcation de tores invariants

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Publication:755037
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DOI10.1007/BF00247705zbMath0417.35013MaRDI QIDQ755037

Gérard Iooss, Alain Chenciner

Publication date: 1979

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)


zbMATH Keywords

perturbationautonomous differential equationHopf bifurcation theoremexistence of an eigenvaluegeneralized Poincare mapinvariant n-torus


Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Other special methods applied to PDEs (35A25)


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Small divisor problems in fluid mechanics ⋮ Bifurcation phenomena in coupled chemical oscillators: normal form analysis and numerical simulations ⋮ The nonlinear dynamics of the damped and driven Toda chain. II: Fourier and Lyapunov analysis of tori ⋮ Computation of quasi-periodic normally hyperbolic invariant tori: algorithms, numerical explorations and mechanisms of breakdown ⋮ Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps ⋮ Transition state theory with quasi-periodic forcing ⋮ A new route to chaos: Sequences of topological torus bifurcations ⋮ Bifurcation from rotating waves ⋮ Bifurcations de tores invariants ⋮ Center manifolds for invariant sets



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