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On the Continuation of an Invariant Torus in a Family with Rapid Oscillations - MaRDI portal

On the Continuation of an Invariant Torus in a Family with Rapid Oscillations

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Publication:4943685

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DOI10.1137/S0036141098338740zbMath0942.34035MaRDI QIDQ4943685

Weishi Liu, Carmen C. Chicone

Publication date: 19 March 2000

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

persistence continuation normally hyperbolic invariant manifolds invariant torus rapid oscillation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems on manifolds (34C40)

Related Items (3)

BIFURCATION CURVES OF SUBHARMONIC SOLUTIONS AND MELNIKOV THEORY UNDER DEGENERACIES ⋮ A mechanism for detecting normally hyperbolic invariant tori in differential equations ⋮ Manifolds on the verge of a hyperbolicity breakdown

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