Rigorous computer-assisted bounds on the period doubling renormalization fixed point and eigenfunctions in maps with critical point of degree 4-Reference-Cited by-同舟云学术

Rigorous computer-assisted bounds on the period doubling renormalization fixed point and eigenfunctions in maps with critical point of degree 4

Published:2021-11-01 Issue:11 Volume:62 Page:112701
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:J. Math. Phys.

Author:

Burbanks Andrew D.¹^ORCID,Osbaldestin Andrew H.¹^ORCID,Thurlby Judi A.¹^ORCID

Affiliation:

1. School of Mathematics and Physics, University of Portsmouth, Portsmouth, United Kingdom

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0054823

Reference38 articles.

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2. The universal metric properties of nonlinear transformations

3. M. Feigenbaum, “Metric universal properties of period doubling bifurcations and the spectrum for a route to turbulence,” Technical Report No. LA-UR-80-3022 Los Alamos Scientific Laboratory, NM, 1979; also available as Report Number: CONF-791256-1 (Office of Scientific & Technical Information Report No. 6752993); Archival Resource Key: ark:/67531/metadc1183350https://digital.library.unt.edu/ark:/67531/metadc1183350/.

4. ITÉRATIONS D'ENDOMORPHISMES ET GROUPE DE RENORMALISATION

5. A computer-assisted proof of the Feigenbaum conjectures

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