A new method for the boundedness of semilinear Duffing equations at resonance

DOI10.3934/dcds.2016.36.3961zbMath1352.34048OpenAlexW2318053607MaRDI QIDQ262068

Da-Xiong Piao, Zhi Guo Wang, Yi Qian Wang

Publication date: 29 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.3961

zbMATH Keywords

boundednessresonanceoscillatory integraltwist map

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of twist maps (37E40)

Related Items (5)

Boundedness of semilinear Duffing equations at resonance in a critical situation ⋮ Boundedness of semilinear Duffing equations with Liouvillean frequency ⋮ Recurrent motions in a piecewise linear oscillator ⋮ Boundedness of solutions for semilinear Duffing equations ⋮ Boundedness in asymmetric oscillations at resonance in a critical situation

Cites Work

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