Domains of analyticity for response solutions in strongly dissipative forced systems

DOI10.1063/1.4836777zbMath1380.34057arXiv1210.3998OpenAlexW3105834505MaRDI QIDQ5412778

Roberto Feola, Livia Corsi, Guido Gentile

Publication date: 28 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3998

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (9)

Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies ⋮ Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems ⋮ Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations ⋮ Response solutions in singularly perturbed, quasi-periodically forced nonlinear oscillators ⋮ Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems ⋮ Response solutions for forced systems with large dissipation and arbitrary frequency vectors ⋮ Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors ⋮ Construction of response solutions for two classes of quasi-periodically forced four-dimensional nonlinear systems with degenerate equilibrium point under small perturbations ⋮ Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension

Cites Work

• Unnamed Item
• Construction of response functions in forced strongly dissipative systems
• Quasi-periodic motions in strongly dissipative forced systems
• Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasiperiodic forcing terms
• Quasiperiodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems
• Quasiperiodic motions in dynamical systems: Review of a renormalization group approach
• Convergent series for quasi-periodically forced strongly dissipative systems

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