Isolated periodic minima are unstable

DOI10.1016/J.ANIHPC.2005.09.010zbMath1282.49029OpenAlexW2028862652MaRDI QIDQ873637

Antonio J. Ureña

Publication date: 29 March 2007

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2006__23_6_877_0

zbMATH Keywords

instabilityparabolic caseperiodic minimizers

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Regularity of solutions in optimal control (49N60)

Related Items (3)

Instability of closed orbits obtained by minimization* ⋮ Invariant manifolds near a minimizer ⋮ The spectrum of reversible minimizers

Cites Work

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• The index of Lyapunov stable fixed points in two dimensions
• The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom
• Hyperbolic minimizing geodesics

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