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Existence of critical invariant tori

Published online by Cambridge University Press:  23 October 2008

HANS KOCH
HANS KOCH*
Affiliation:
Department of Mathematics, The University of Texas at Austin, Austin, TX 78712, USA
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Abstract

We consider analytic Hamiltonian systems with two degrees of freedom, and prove that every Hamiltonian on the strong local stable manifold of the renormalization group fixed point obtained in Koch [A renormalization group fixed point associated with the breakup of golden invariant tori. Discrete Contin. Dyn. Syst. A 11 (2004), 881–909] has a non-differentiable golden invariant torus (conjugacy to a linear flow).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 6 , December 2008 , pp. 1879 - 1894
Copyright
Copyright © 2008 Cambridge University Press

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