Dynamical stability of quasi-periodic response solutions in planar conservative systems

DOI10.1016/j.indag.2012.01.001zbMath1287.37035OpenAlexW2014494108MaRDI QIDQ441336

Carles Simó, Heinz Hanßmann

Publication date: 23 August 2012

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2012.01.001

Mathematics Subject Classification ID

Related Items (4)

Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies ⋮ Quantifying Poincaré's continuation method for nonlinear oscillators ⋮ Quantitative quasiperiodicity ⋮ On the stability of tetrahedral relative equilibria in the positively curved 4-body problem

Cites Work

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• Asymptotic exponential integrals. Newton's diagram, and the classification of minimal points
• The stability of the equilibrium of planar Hamiltonian and reversible systems
• Local and semi-local bifurcations in Hamiltonian dynamical systems. Results and examples
• On the reducibility of linear differential equations with quasiperiodic coefficients
• Stability of a parabolic fixed point of reversible mappings
• Stability of zero solutions of essentially nonlinear one-degree-of-freedom Hamiltonian and reversible systems
• The stability of the equilibrium of a conservative system
• The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems
• Quasi-periodic solutions and stability of the equilibrium for quasi-periodically forced planar reversible and Hamiltonian systems under the Bruno condition
• The stability of the equilibrium of reversible systems
• The Stability of the Equilibrium of a Nonlinear Hill’s Equation
• On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
• Parabolic fixed points and stability criteria for nonlinear Hill's equation

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