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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

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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).

Information

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

References

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