Renormalization of Mappings of the Two-Torus

Seunghwan Kim, Stellan Östlund

Type: Article

Publication Date: 1985-09-09

Citations: 33

DOI: https://doi.org/10.1103/physrevlett.55.1165

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Physical Review Letters - View
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Works That Cite This (16)

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+	Continued Fractions Hierarchy of Rotation Numbers in Planar Dynamics	1999	Carl Robert Kathleen T. Alligood Timothy Sauer
+	Numerical Exploration of Bifurcations and Chaos in Coupled Oscillators	1992	Seunghwan Kim Won Gyu Choe
+ PDF Chat	Breakdown of Universality in Renormalization Dynamics for Critical Invariant Torus	1991	Roberto Artuso Giulio Casati Dima L. Shepelyansky
+	An approach to renormalization on the <i>n</i>-torus	1991	Daniel N. Rockmore Ralph M. Siegel Nils Tongring Charles Tresser
+	Universal Behaviour on the Break-up of the Spiral Mean Torus	2001	Zhou Ji-Lin Bambi Hu Yi‐Sui Sun
+	A multidimensional continued fraction and some of its statistical properties	1992	Philip R. Baldwin
+	Universal behaviour of two coupled circle maps	1991	Arkady Pikovsky V G Shekhov
+	Resonance regions for families of torus maps	1989	Seunghwan Kim Robert S. MacKay John Guckenheimer
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+	Number Theory and Dynamical Systems (Preliminary Notes)	1991	Jeffrey C. Lagarias

Works Cited by This (5)

Action	Title	Year	Authors
+	Occurrence of strange AxiomA attractors near quasi periodic flows onT m ,m≧3	1978	Sheldon E. Newhouse David Ruelle Floris Takens
+	Renormalization of Quasiperiodic Mappings	1985	Stellan Östlund Seunghwan Kim
+ PDF Chat	Sur la Conjugaison Différentiable des Difféomorphismes du Cercle a des Rotations	1979	Michael R. Herman
+ PDF Chat	The Jacobi-Perron Algorithm Its Theory and Application	1971	Leon Bernstein
+ PDF Chat	A method for determining a stochastic transition	1979	J. M. Greene