\(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifurcations for the Full Averaged Model of Two Interacting
DOI10.1137/23m158125xMaRDI QIDQ6196192
Francisco Crespo, Jan-Cees van der Meer, D. E. Espejo
Publication date: 14 March 2024
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Two-body problems (70F05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Averaging of perturbations for nonlinear problems in mechanics (70K65)
Cites Work
- Unnamed Item
- Symplectic and Poisson geometry on \( b\)-manifolds
- The geometry of spontaneous symmetry breaking
- The Hamiltonian Hopf bifurcation
- Smooth functions invariant under the action of a compact Lie group
- Singularites \(C^\infty\) en presence de symétrie. En particulier en presence de la symétrie d'un groupe de Lie compact
- Reduction, relative equilibria and potential in the two rigid bodies problem
- On the unfolding of folded symplectic structures
- Rigid body dynamics
- \((SO(3) \times \mathbb{T}^4)\)-reduction and relative equilibria for a radial axisymmetric intermediary model for roto-orbital motion
- Mutual gravitational potential and torque of solid bodies via inertia integrals
- Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems
- The elimination of the parallax in satellite theory
- Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem
This page was built for publication: \(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifurcations for the Full Averaged Model of Two Interacting
