Equivariant N-Dof Hamiltonians Via Generalized Normal Forms
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Publication:4454541
DOI10.1142/S0219199703001026zbMath1046.37037MaRDI QIDQ4454541
Patricia Yanguas, Jesús F. Palacián
Publication date: 8 March 2004
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)
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- Hamiltonian chaos in nonlinear optical polarization dynamics
- On the stability of the Lagrangian points in the spatial restricted problem of three bodies
- Chaos in the 1:2:3 Hamiltonian normal form
- On resonant classical Hamiltonians with n frequencies
- The Hamiltonian Hopf bifurcation
- On differential equations in normal form
- On the stability of an autonomous Hamiltonian system with two degrees of freedom in the case of equal frequencies
- Generalized normal forms for polynomial vector fields
- Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems
- Hamiltonian oscillators in \(1\)-\(1\)-\(1\) resonance: Normalization and integrability
- Reduction of Polynomial Planar Hamiltonians with Quadratic Unperturbed Part
- SIMPLIFICATION OF PERTURBED HAMILTONIANS THROUGH LIE TRANSFORMATIONS
- Motion in the core of a triaxial potential
- Nonsemisimple 1?1 resonance at an equilibrium
- Canonical forms for symplectic and Hamiltonian matrices
- Singular reduction of axially symmetric perturbations of the isotropic harmonic oscillator
- Reduction of polynomial Hamiltonians by the construction of formal integrals
- Canonical transformations depending on a small parameter
- Regularization of kepler's problem and the averaging method on a manifold
- Perturbed ion traps: A generalization of the three-dimensional Hénon–Heiles problem
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