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On Feigenbaum's functional equation g ∘ g(λx) + λg(x) = 0

  • Published:1982 Issue:2 Volume:21 Page:125-129
  • ISSN:0040-9383
  • Container-title:Topology
  • language:en
  • Short-container-title:Topology

Author:

Campanino M.,Epstein H.,Ruelle D.

Publisher

Elsevier BV

Subject

Geometry and Topology

Reference7 articles.

1. M. Campanino and H. Epstein: On the existence of Feigenbaum's fixed point. To appear.

2. P. Collet, J.-P. Eckmann and H. Koch: Period doubling bifurcations for families of maps on Rn. To appear.

3. Universal properties of maps on an interval;Collet;Comm. Math. Phys.,1981

4. Quantitative universality for a class of nonlinear transformations;Feigenbaum;J. Statist. Phys.,1978

5. The universal metric properties of nonlinear transformations;Feigenbaum;J. Statist. Phys.,1979

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1. Rigorous computer-assisted bounds on the period doubling renormalization fixed point and eigenfunctions in maps with critical point of degree 4;Journal of Mathematical Physics;2021-11-01

2. Feigenbaum Functional Equations as Dynamical Systems;Chaos, Fractals, and Dynamics;2020-11-25

3. Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos;Inventiones mathematicae;2019-07-23

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