Dynamics of the Frenkel–Kontorova model with irrational mean spacing

Wen-Xin Qin

Type: Article

Publication Date: 2010-07-02

Citations: 12

DOI: https://doi.org/10.1088/0951-7715/23/8/005

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Nonlinearity - View

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+	Existence of dynamical hull functions with two variables for the ac-driven Frenkel–Kontorova model	2013	Wen-Xin Qin
+	Denjoy minimal sets and Birkhoff periodic orbits for non-exact monotone twist maps	2018	Wen-Xin Qin Ya-Nan Wang
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+ PDF Chat	The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models	2019	Braslav Rabar Siniša Slijepčević

Works Cited by This (9)

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+	Spatially Extended Systems with Monotone Dynamics (Continuous Time)	2005	C. Baesens
+	The discrete Frenkel-Kontorova model and its extensions	1983	S. Aubry P. Y. Le Daëron
+	Splay-Phase Orbits for Equivariant Flows on Tori	1994	Renato Mirollo
+ PDF Chat	The periodic orbits of an area preserving twist map	1988	Sigurd Angenent
+	Existence of quasi-periodic orbits for twist homeomorphisms of the annulus	1982	John N. Mather
+ PDF Chat	A new proof of the Aubry-Mather's theorem	1992	Christophe Golé
+	Some global results for nonlinear eigenvalue problems	1971	Paul H. Rabinowitz
+ PDF Chat	Driven Frenkel-Kontorova model. I. Uniform sliding states and dynamical domains of different particle densities	1998	Torsten Strunz Franz‐Josef Elmer
+ PDF Chat	Existence of Travelling Waves in Discrete Sine-Gordon Rings	2005	Guy Katriel