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GLOBAL PHASE-SPACE UNIVERSALITY, SMOOTH CONJUGACIES AND RENORMALIZATION .2. THE CK+ALPHA CASE USING RAPID CONVERGENCE OF MARKOV FAMILIES
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UNSPECIFIED (1992) GLOBAL PHASE-SPACE UNIVERSALITY, SMOOTH CONJUGACIES AND RENORMALIZATION .2. THE CK+ALPHA CASE USING RAPID CONVERGENCE OF MARKOV FAMILIES. NONLINEARITY, 5 (1). pp. 49-79. ISSN 0951-7715.
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Abstract
We prove that the speed of convergence of two Markov families determines the smoothness of the conjugacy between them. One of the applications of this result that we give is that the attractors of any two quadratic foldings at the Feigenbaum accumulation point of period doubling are C2+0.11 conjugate. Our main result provides the basis for a complete unification of renormalization and smooth conjugacy results which includes both the classical theorems and more recent results about critical systems.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | NONLINEARITY | ||||
Publisher: | IOP PUBLISHING LTD | ||||
ISSN: | 0951-7715 | ||||
Official Date: | January 1992 | ||||
Dates: |
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Volume: | 5 | ||||
Number: | 1 | ||||
Number of Pages: | 31 | ||||
Page Range: | pp. 49-79 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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