The spectrum of reversible minimizers

DOI10.1134/S1560354718030024zbMath1400.37074OpenAlexW2806534574MaRDI QIDQ1799406

Antonio J. Ureña

Publication date: 18 October 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354718030024

zbMATH Keywords

Floquet multiplierstime reversibilityaction minimizer

Mathematics Subject Classification ID

Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (max. 100)

Instability of closed orbits obtained by minimization* ⋮ Functional determinants for the second variation ⋮ Morse index theorem of Lagrangian systems and stability of brake orbit

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Hill determinant of a periodic orbit
• Isolated periodic minima are unstable
• All periodic minimizers are unstable
• The Sturm theorems and symplectic geometry
• A spectral theorem for reversible second order equations with periodic coefficients
• The index of Lyapunov stable fixed points in two dimensions
• Homoclinic trajectories of invariant sets of Hamiltonian systems
• Instability of periodic minimals
• Hill's formula
• The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom
• Heteroclinics for a reversible Hamiltonian system

This page was built for publication: The spectrum of reversible minimizers