Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\)
DOI10.1134/S1560354720060027zbMath1475.70019OpenAlexW3112224398MaRDI QIDQ2235104
Reza Mazrooei-Sebdani, Elham Hakimi
Publication date: 20 October 2021
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354720060027
integrabilityreductionnormal formsHamiltonian Hopf bifurcationHamiltonian \(\omega:3:6\) resonance \((\omega=1\) or \(2)\)
Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) 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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