The dynamics around stable and unstable Hamiltonian relative equilibria

2000/07/13 by Juan-Pablo Ortega, Juan Pablo Wert Ortega, Ortega, Juan-Pablo +3
Mathematics · Physics and Astronomy · #37J15 #70H05 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Quantum chaos and dynamical systems #Symplectic Geometry (math.SG) #Theoretical and Computational Physics #math.DG #math.DS #math.SG #msc:37J15 #msc:70H05

paper · pdf · doi:10.48550/arxiv.math/0007078

24 pages. The results on bifurcation of relative equilibria have undergone major improvements. The results on periodic and relative periodic orbits have been eliminated

openalex publication_date 2000/07/13 · arxiv created 2002/10/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a symmetric Hamiltonian system, lower bounds for the number of relative equilibria surrounding stable and formally unstable relative equilibria on nearby energy levels are given.

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