A renormalization group fixed point associated with the breakup of golden invariant tori (Q1766145)
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scientific article; zbMATH DE number 2139320
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A renormalization group fixed point associated with the breakup of golden invariant tori |
scientific article; zbMATH DE number 2139320 |
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A renormalization group fixed point associated with the breakup of golden invariant tori (English)
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28 February 2005
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Renormalization group methods for Hamiltonian flows and related maps were introduced as a tool for explaining the breakup of golden invariant tori. Since then, these methods have been developed further and extended to other systems, but one of the main problems remained open, namely, the existence of a nontrivial renormalization group fixed-point. The present paper provides a computed-assisted proof, using the programming language ADA95, for the existence of such a fixed-point.
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renormalization group
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Hamiltonian flow
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golden ratio
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