The complete set of Hamiltonian intermittency scaling behaviors (Q1071529)
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scientific article; zbMATH DE number 3940779
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The complete set of Hamiltonian intermittency scaling behaviors |
scientific article; zbMATH DE number 3940779 |
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The complete set of Hamiltonian intermittency scaling behaviors (English)
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1984
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\textit{V. I. Arnol'd} [Funkts. Anal. Prilozh. 6, No.4, 3-25 (1972; Zbl 0278.57011)] classified critical points of real valued functions resulting in his so called ''simple normal forms''. In the present paper the author considers a Hamiltonian system with one degree of freedom and rediscovers for the Hamiltonian function H(p,q) Arnold's results using renormalization group techniques. This implies some predictions for the scaling behaviour at the onset of intermittency.
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critical points of real valued functions
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simple normal forms
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renormalization group techniques
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scaling behaviour
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onset of intermittency
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