Complete orbits for twist maps on the plane

Markus Kunze, Rafael Ortega

Type: Article

Publication Date: 2008-05-16

Citations: 12

DOI: https://doi.org/10.1017/s0143385707000843

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Locations

Ergodic Theory and Dynamical Systems - View

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Works That Cite This (11)

Action	Title	Year	Authors
+	Global Dynamics of the Breathing Circle Billiard	2022	Zhenbang Cao Haotong Ma Xuegang Yu Yi Tan Ge Ren Bo Qi
+	Longtime closeness estimates for bounded and unbounded solutions of non-recurrent Duffing equations with polynomial potentials	2019	Yaqun Peng Daxiong Piao Yiqian Wang
+	Complete Orbits for Twist Maps on the Plane: Extensions and Applications	2010	Markus Kunze Rafael Ortega
+	Rotation numbers and bounded deviations for quasi-periodic monotone recurrence relations	2024	Tong Zhou Qi-Ming Huang
+	Existence of bounded solutions for a non-periodic sublinear equation with an obstacle<sup>*</sup>	2024	Yaqun Peng
+	Rareness of escaping orbits of the quasi-periodic Duffing equations with polynomial potentials	2023	Yaqun Peng Yan Zhuang
+	Complete orbits for twist maps on the plane: the case of small twist	2010	Markus Kunze Rafael Ortega
+	Complete Orbits for Twist Maps with Exponential Generating Functions	2014	Qihuai Liu Yishuang Guo Hong‐Wu Tang
+	Growth rates of orbits in non-periodic twist maps and a theorem by Neishtadt	2021	Markus Kunze Rafael Ortega
+	Twist Mappings with Non-Periodic Angles	2012	Markus Kunze Rafael Ortega

Works Cited by This (17)

Action	Title	Year	Authors
+	Dynamical Systems and Ergodic Theory	1998	Mark Pollicott Michiko Yuri
+	Invariant tori and Lagrange stability of pendulum-type equations	1990	Jiangong You
+	Invariant curves of quasi-periodic reversible mappings	2004	Bin Liu
+	Boundedness of Solutions for Quasiperiodic Potentials	1995	Mark Levi Eduard Zehnder
+	Topological dynamics and ordinary differential equations	1971	George R. Sell
+	Bounded solutions to superlinear ODEs: a variational approach	2003	Gianmaria Verzini
+	Instability in Fermi-Ulam `ping-pong' problem	1998	Vadim Zharnitsky
+	Unbounded Solutions of ÿ + <i>g(y)</i> = <i>p{t)</i>	1966	J. E. Littlewood
+	Minimal functions with unbounded integral	1978	Russell Johnson
+	Bouncing balls in non-linear potentials	2008	Dmitry Dolgopyat