Bin Liu

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All published works

Action	Title	Year	Authors
+	Data Generation-based Operator Learning for Solving Partial Differential Equations on Unbounded Domains	2023	Jihong Wang Xin Wang Jing Li Bin Liu
+ PDF Chat	Invariant Curves of Almost Periodic Twist Mappings	2021	Peng Huang Xiong Li Bin Liu
+ PDF Chat	Invariant curves of smooth quasi-periodic mappings	2017	Peng Huang Xiong Li Bin Liu
+	Almost periodic solutions for an asymmetric oscillation	2017	Peng Huang Xiong Li Bin Liu
+	Almost periodic solutions for an asymmetric oscillation	2017	Peng Huang Xiong Li Bin Liu
+	Quasi-periodic solutions for an asymmetric oscillation	2016	Peng Huang Xiong Li Bin Liu
+	Invariant curves of almost periodic twist mappings	2016	Peng Huang Xiong Li Bin Liu
+	Second order expansion for the solution to a singular Dirichlet problem	2015	Ling Mi Bin Liu
+	A result on the quasi-periodic solutions of forced isochronous oscillators at resonance	2015	Bin Liu Yingchao Tang
+	Blow-up rate of the unique solution for a class of one-dimensional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi></mml:math>-Laplacian equations	2012	Ling Mi Yanfeng Qi Bin Liu
+	A Higher Order Accuracy Numerical Quadrature Rule	2011	Bin Liu
+	The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems	2009	Bin Liu
+ PDF Chat	On the boundedness of solutions to a nonlinear singular oscillator	2009	Anna Capietto Walter Dambrosio Bin Liu
+	The Stability of the Equilibrium of Planar Hamiltonian and Reversible Systems	2006	Bin Liu
+	Quasi-periodic solutions of a semilinear Liénard equation at resonance	2005	Bin Liu
+	Invariant Curves of Reversible Mappings with Small Twist	2004	Bin Liu Jia Jia Song
+	On Lower Dimensional Invariant Tori in Reversible Systems	2001	Bin Liu
+	Boundedness and unboundedness of solutions for reversible oscillators at resonance	2001	Markus Kunze Tassilo Küpper Bin Liu
+	Boundedness in Asymmetric Oscillations	1999	Bin Liu
+	Boundedness of Solutions for Semilinear Duffing Equations	1998	Bin Liu
+	Quasiperiodic solutions for nonlinear differential equations of second order with symmetry	1994	Bin Liu Jiangong You
+	Boundedness for solutions of nonlinear periodic differential equations via Moser's twist theorem	1992	Bin Liu
+	Boundedness for solutions of nonlinear Hill's equations with periodic forcing terms via Moser's twist theorem	1989	Bin Liu

Common Coauthors

Coauthor	Papers Together
Peng Huang	6
Xiong Li	6
Ling Mi	2
Yanfeng Qi	1
Anna Capietto	1
Markus Kunze	1
Walter Dambrosio	1
Xin Wang	1
Jing Li	1
Jihong Wang	1
Yingchao Tang	1
Jia Jia Song	1
Tassilo Küpper	1
Jiangong You	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Boundedness in a Piecewise Linear Oscillator and a Variant of the Small Twist Theorem	1999	Rafael Ortega	11
+	Asymmetric Oscillators and Twist Mappings	1996	Rafael Ortega	8
+	Boundedness of solutions via the twist-theorem	1987	R. Dieckerhoff Eduard Zehnder	8
+	Invariant Curves of Mappings with Averaged Small Twist	2001	Rafael Ortega	8
+ PDF Chat	A case of boundedness in Littlewood's problem on oscillatory differential equations	1976	G. R. Morris	8
+	Invariant curves of quasi-periodic reversible mappings	2004	Bin Liu	7
+ PDF Chat	Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem	2000	Vadim Zharnitsky	7
+ PDF Chat	Quasiperiodic motions in superquadratic time-periodic potentials	1991	Mark Levi	7
+	Roots of Unity and Unbounded Motions of an Asymmetric Oscillator	1998	José M. Alonso Rafael Ortega	7
+	Sur les courbes invariantes par les difféomorphismes de l'anneau. II	1986	Michael R. Herman	5
+	Quasi-periodic solutions for an asymmetric oscillation	2016	Peng Huang Xiong Li Bin Liu	5
+	Boundedness for solutions of nonlinear Hill's equations with periodic forcing terms via Moser's twist theorem	1989	Bin Liu	4
+ PDF Chat	Invariant curves of smooth quasi-periodic mappings	2017	Peng Huang Xiong Li Bin Liu	4
+	Boundedness in Asymmetric Oscillations	1999	Bin Liu	4
+ PDF Chat	Bounded perturbations of forced harmonic oscillators at resonance	1969	A. C. Lazer Douglas Edward Leach	4
+	Complex Analysis on Infinite Dimensional Spaces	1999	Seán Dineen	4
+ PDF Chat	A semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities	1989	A. C. Lazer P. J. McKenna	3
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	3
+	Solvability of Nonlinear Equations and Boundary Value Problems	1981	Svatopluk Fučík	3
+ PDF Chat	The stability of the equilibrium of reversible systems	1999	Bin Liu	3
+	The Stability of the Equilibrium of a Nonlinear Hill’s Equation	1994	Rafael Ortega	3
+	Oscillations of a forced asymmetric oscillator at resonance	2000	C. Fabry Jean Mawhin	3
+	Jumping nonlinearities for neumann BVPs with positive forcing	1993	Patrick Habets Miguel Ramos Luís Sanchez	3
+	Aubry-Mather Sets for Finite-Twist Maps of a Cylinder and Semilinear Duffing Equations	1994	Ming-Liang Pei	3
+	Boundedness in Nonlinear Oscillations at Resonance	1999	Bin Liu	3
+	On the Dirichlet problem for weakly non-linear elliptic partial differential equations	1977	E. N. Dancer	3
+	Unbounded Solutions of an Equation ÿ+<i>g{y)</i> =<i>p(t)</i> , with <i>p(t)</i> Periodic and Bounded, and <i>g(y)</i> /<i>y</i> → ∞ as <i>y</i> →±∞	1966	J. E. Littlewood	2
+	A Lagrangian proof of the invariant curve theorem for twist mappings	2001	M. Levi J. Moser	2
+	On the existence of invariant curves of twist mappings of an annulus	1983	Helmut Rüßmann	2
+	Existence of quasi-periodic orbits for twist homeomorphisms of the annulus	1982	John N. Mather	2
+	An unbounded solution of a superlinear Duffing's equation	1991	Yiming Long	2
+	Boundedness of Solutions for Semilinear Duffing Equations	1998	Bin Liu	2
+	Invariant curves of almost periodic twist mappings	2016	Peng Huang Xiong Li Bin Liu	2
+	Nonlinear problems with boundary blow-up: a Karamata regular variation theory approach	2005	Florica C. Cîrstea Vicenţiu D. Rădulescu	2
+	Equations with a $p$-Laplacian and an asymmetric nonlinear term	2001	C. Fabry Raúl Manásevich	2
+ PDF Chat	Asymptotics for the blow-up boundary solution of the logistic equation with absorption	2003	Florica C. Cîrstea Vicenţiu D. Rădulescu	2
+	Generalized implicit function theorems with applications to some small divisor problems, I	1975	Eduard Zehnder	2
+ PDF Chat	A stability theorem for minimal foliations on a torus	1988	J. Moser	2
+	Invariant curves and time-dependent potentials	1991	Stephane Laederich Mark Lev	2
+ PDF Chat	Proof of Poincaré’s geometric theorem	1913	George D. Birkhoff	2
+	Landesman-Lazer Conditions for Periodic Boundary Value Problems with Asymmetric Nonlinearities	1995	C. Fabry	2
+ PDF Chat	Uniqueness of the blow-up boundary solution of logistic equations with absorbtion	2002	Florica C. Cîrstea Vicenţiu D. Rădulescu	2
+ PDF Chat	Boundedness of solutions of Duffing's equation	1986	Tongren Ding	2
+	Existence of quasiperiodic solutions and Littlewood’s boundedness problem of Duffing equations with subquadratic potentials	1999	Tassilo Küpper Jiangong You	2
+	Parabolic fixed points and stability criteria for nonlinear Hill's equation	2000	Daniel Núñez Rafael Ortega	2
+	The Stability of the Equilibrium of a Conservative System	1996	Bin Liu	2
+	Invariant Curves of Reversible Mappings with Small Twist	2004	Bin Liu Jia Jia Song	2
+	On the Application of KAM Theory to Discontinuous Dynamical Systems	1997	Markus Kunze Tassilo Küpper Jiangong You	1
+ PDF Chat	Elliptic equations with competing rapidly varying nonlinearities and boundary blow-up	2007	Florica C. Cîrstea	1
+	Invariant tori and Lagrange stability of pendulum-type equations	1990	Jiangong You	1