Invariant tori in nonlinear oscillations

DOI10.1007/BF02889506zbMath0962.34027OpenAlexW2059919504MaRDI QIDQ1974219

Bin Liu, Yi Qian Wang

Publication date: 14 June 2001

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02889506

zbMATH Keywords

nonlinear oscillationsinvariant torisemilinear Duffing equation

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (9)

Lagrange stability for asymptotic linear Duffing equations ⋮ The existence of quasiperiodic solutions for coupled Duffing-type equations ⋮ Boundedness of solutions for nonlinear oscillations ⋮ Boundedness of semilinear Duffing equations with Liouvillean frequency ⋮ Invariant tori for semilinear reversible systems. ⋮ Boundedness for the general semilinear Duffing equations via the twist theorem ⋮ Topologically stable subharmonics of large periods and amplitudes ⋮ Coexistence of unbounded solutions and periodic solutions of Liénard equations with asymmetric nonlinearities at resonance ⋮ Boundedness of solutions for semilinear Duffing equations

Cites Work

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• Quasiperiodic motions in superquadratic time-periodic potentials
• Boundedness for solutions of superlinear Duffing equations via the twist theorem
• Boundedness of solutions for semilinear Duffing equations
• Invariant tori of Duffing-type equations
• Boundedness in nonlinear oscillations at resonance
• On the application of KAM theory to discontinuous dynamical systems
• A case of boundedness in Littlewood's problem on oscillatory differential equations
• Asymmetric Oscillators and Twist Mappings

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