Invariant Tori and Boundedness in Asymmetric Oscillations

Xin Ping Wang

Type: Article

Publication Date: 2003-10-01

Citations: 22

DOI: https://doi.org/10.1007/s10114-003-0249-3

View Publication

Locations

Acta Mathematica Sinica English Series - View

Similar Works

Action	Title	Year	Authors
+	Boundedness in asymmetric oscillations under the non-resonant case	2020	Min Li Xiong Li
+	Boundedness of Solutions in Asymmetric Oscillations via the Twist Theorem	2001	Yi Wang
+	Invariant two-dimensional tori, their breakdown and stochasticity	1991	Valentin Afraimovich L. P. Shilnikov
+	Unbounded solutions in asymmetric oscillations	2004	Xiaojing Yang
+	Invariant Tori and Boundedness in Asymmetric Oscillations	2003	XinPingWANG
+	Bifurcations of Invariant Tori	2006
+	Invariant tori for non conservative perturbations of integrable systems	2001	Dario Bambusi Giuseppe Gaeta
+	Invariant tori for asymptotically linear impact oscillators	2006	Dingbian Qian Xiying Sun
+ PDF Chat	Excitations of the torelon	2004	Keisuke Jimmy Juge Julius Kuti Francesco Maresca Colin Morningstar Mike Peardon
+	Bifurcation into invariant tori at points of resonance	1978	Yieh-Hei Wan
+	On the Break-Up of Invariant Tori with three Frequencies	1999	James D. Meiss
+	On the genericity of the multiplicity results for forced oscillations on compact manifolds	1999	Marta Lewicka Marco Spadini
+ PDF Chat	Invariant KAM Tori: From Theory to Applications to Exoplanetary Systems	2022	Ugo Locatelli Chiara Caracciolo Marco Sansottera Mara Volpi
+	Homoclinic processes and invariant measures for hyperbolic toral automorphisms	2010	Mikhail Gordin
+	Chaos and pole-skipping in rotating black holes	2021	Mike Blake Richard A. Davison
+	Invariant Torus and Arnold tongue in a discrete dynamics	2013	Munehisa Sekikawa Fujiwara Sumito Naohiko Inaba Tetsuya Yoshinaga Ken′ichi Fujimoto Tetsuro Endo
+	Hyperbolicity, Shadowing, and Bounded Orbits	2022	K. Lee C. A. Morales
+	Nonlinear resonance in asymmetric oscillations	2003	Xiaojing Yang
+	Toric dynamical systems	2009	Gheorghe Crăciun Alicia Dickenstein Anne Shiu Bernd Sturmfels
+	Symmetry breaking for toral actions in simple mechanical systems	2005	Petre Birtea Mircea Puta Tudor S. Raţiu Răzvan M. Tudoran

Works That Cite This (18)

Action	Title	Year	Authors
+	Boundedness of semilinear Duffing equations at resonance in a critical situation	2018	Xiumei Xing Jun Wang Yiqian Wang
+	Boundedness of solutions for equations with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>p</mml:mi></mml:math>-Laplacian and an asymmetric nonlinear term	2004	Bin Liu
+	Periodic and unbounded motions in asymmetric oscillators at resonance	2015	Shiwang Ma
+	Boundedness in forced isochronous oscillators	2017	Xiong Li Shasha Jin
+ PDF Chat	Boundedness in Asymmetric Oscillations at Resonance in a Critical Situation	2022	Shufang Zhang Xinli Zhang
+	Littlewood’s problem for isochronous oscillators	2009	Denis Bonheure Christian Fabry
+	Quasi-periodic solutions for a class of second order differential equations with a nonlinear damping term	2017	Xiaoming Wang
+	Boundedness in forced isochronous oscillators	2017	Shasha Jin Xiong Li
+ PDF Chat	Exponential Growth Rates of Periodic Asymmetric Oscillators	2008	Meirong Zhang Zhe Zhou
+	Boundedness of solutions for second order differential equations with asymmetric nonlinearity	2005	Xiong Li Qing Ma

Works Cited by This (17)

Action	Title	Year	Authors
+	Roots of Unity and Unbounded Motions of an Asymmetric Oscillator	1998	José M. Alonso Rafael Ortega
+ PDF Chat	A semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities	1989	A. C. Lazer P. J. McKenna
+	Jumping nonlinearities for neumann BVPs with positive forcing	1993	Patrick Habets Miguel Ramos Luís Sanchez
+	Boundedness of Solutions for Semilinear Duffing Equations	1998	Bin Liu
+	Boundedness in Nonlinear Oscillations at Resonance	1999	Bin Liu
+	Boundedness in a Piecewise Linear Oscillator and a Variant of the Small Twist Theorem	1999	Rafael Ortega
+	Asymmetric Oscillators and Twist Mappings	1996	Rafael Ortega
+	Oscillations of a forced asymmetric oscillator at resonance	2000	C. Fabry Jean Mawhin
+	Boundedness in Asymmetric Oscillations	1999	Bin Liu
+ PDF Chat	Quasiperiodic motions in superquadratic time-periodic potentials	1991	Mark Levi