Periodic Klein-Gordon chains with three particles in 1:2:2 resonance
DOI10.1007/s10884-021-10005-5zbMath1503.37089OpenAlexW3162071329WikidataQ115383179 ScholiaQ115383179MaRDI QIDQ2134141
Elham Hakimi, Reza Mazrooei-Sebdani
Publication date: 6 May 2022
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-021-10005-5
bifurcationreductionKlein-Gordon systemHamiltonian normal form1 : 2 : 2 resonanceHamiltonian pitchfork bifurcation
Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonlinear resonances for nonlinear problems in mechanics (70K30) Normal forms for nonlinear problems in mechanics (70K45)
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