- 98-482 Chandre C., Jauslin H.R.
- Critical strange attractor and universality in a
renormalization scheme for three frequency Hamiltonian systems
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Jul 2, 98
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Abstract. We study an approximate renormalization-group transformation to analyze
the breakup of invariant tori for three degrees of freedom Hamiltonian systems.
The scheme is implemented for the spiral mean torus.
We find numerically that the critical surface is the stable manifold
of a critical strange attractor. We compute scaling exponents associated
with this fixed set, and find that they can be expected to be universal.
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