GLOBAL PHASE-SPACE UNIVERSALITY, SMOOTH CONJUGACIES AND RENORMALIZATION .2. THE CK+ALPHA CASE USING RAPID CONVERGENCE OF MARKOV FAMILIES

• Type: Article in International Scientific Journal
• Date: 1992

Authors

PINTO, AA (Author) FCUP; RAND, DA (Author) Other

Journal

Title: Nonlinearity

Vol. 5

Pages: 49-79

ISSN: 0951-7715

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 2 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-007-2DT

DOI: 10.1088/0951-7715/5/1/002

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 31