Quasiperiodic solutions for nonlinear differential equations of second order with symmetry

DOI10.1007/BF02560714zbMath0811.34023MaRDI QIDQ4319230

Jiangong You, Bin Liu

Publication date: 9 February 1995

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

boundednessperiodically driven nonlinear oscillatorJ. Moser's twist theoremKAM theorem for reversible systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (1)

Boundedness of solutions for sublinear reversible systems

Cites Work

• Invariant tori and Lagrange stability of pendulum-type equations
• Boundedness for solutions of nonlinear Hill's equations with periodic forcing terms via Moser's twist theorem
• Quasiperiodic motions in superquadratic time-periodic potentials
• On the generalized Lienard equation with negative damping
• An unbounded solution of a superlinear Duffing's equation
• Boundedness for solutions of nonlinear periodic differential equations via Moser's twist theorem
• A case of boundedness in Littlewood's problem on oscillatory differential equations
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• Unbounded Solutions of an Equation ÿ+g{y) =p(t) , with p(t) Periodic and Bounded, and g(y) /y → ∞ as y →±∞
• On The Existence of Periodic Solutions For Second Order Differential Equations with a Forcing Term
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