Perturbation theory and the method of detuning
DOI10.1007/978-1-0716-2621-4_761zbMATH Open1548.70011MaRDI QIDQ6599389
Publication date: 6 September 2024
Bifurcations and instability for nonlinear problems in mechanics (70K50) General perturbation schemes for nonlinear problems in mechanics (70K60) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonlinear resonances for nonlinear problems in mechanics (70K30) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Averaging of perturbations for nonlinear problems in mechanics (70K65)
Cites Work
- Title not available (Why is that?)
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- Dynamics near the \(p: - q\) resonance
- The \(1:\pm 2\) resonance
- Local and semi-local bifurcations in Hamiltonian dynamical systems. Results and examples
- Hamiltonian systems with detuned 1:1:2 resonance: manifestation of bidromy
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- Singularities and groups in bifurcation theory. Volume I
- On resonant non linearly coupled oscillators with two equal frequencies
- An energy-momentum map for the time-reversal symmetric 1:1 resonance with \(\mathbb Z_2{\times}\mathbb Z_2\) symmetry
- Normal modes for nonlinear Hamiltonian systems
- Symmetry and resonance in Hamiltonian systems
- Periodic solutions near a resonant equilibrium of a Hamiltonian system
- Discrete symmetric dynamical systems at the main resonances with application to axi-symmetric galaxies
- Symmetry and Perturbation Theory in Nonlinear Dynamics
- Averaging, passage through resonances, and capture into resonance in two-frequency systems
- Periodic orbits emanating from a resonant equilibrium
- Regularization of kepler's problem and the averaging method on a manifold
- Equivariant singularity analysis of the 2 : 2 resonance
- Averaging methods in nonlinear dynamical systems
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