Functional equations for circle homeomorphisms with golden ratio rotation number

Author:

Lanford Oscar E.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference5 articles.

1. P. Collet and J.-P. Eckmann,Iterated Maps on the Interval as Dynamical Systems (Birkhäuser, Boston, 1980).

2. M. Feigenbaum, L. Kadanoff, and S. Shenker, Quasi-periodicity in dissipative systems: a renormalization group analysis,Physica D 5:370–386 (1982).

3. R. S. MacKay,Renormalization in Area Preserving Maps, Ph.D. dissertation, Department of Astrophysical Sciences, Princeton University, October 1982.

4. M. Nauenberg, On fixed points for circle maps,Phys. Lett. A B 92(7):319–320 (1982).

5. S. Ostlund, D. Rand, J. Sethna, and E. Siggia, Universal properties of the transition from quasi-periodicity to chaos in dissipative systems, NSF-ITP preprint 82-80 (July 1982).

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