On the problem of stability for higher-order derivative Lagrangian systems

DOI10.1007/BF00402140zbMath0656.70029OpenAlexW2042340147MaRDI QIDQ1110364

Sergio Zerbini, Giampietro Tecchiolli, Enrico M. Pagani

Publication date: 1987

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00402140

zbMATH Keywords

stabilityKAM theorycanonical perturbation theoryLagrange-Dirichlet theorem

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Lagrange's equations (70H03)

Related Items (7)

Symplectic reduction of higher order Lagrangian systems with symmetry ⋮ Ghost and Laplacian instabilities in teleparallel Horndeski gravity ⋮ Field redefinition invariant Lagrange multiplier formalism ⋮ Confining complex ghost degrees of freedom ⋮ Global and local stability for ghosts coupled to positive energy degrees of freedom ⋮ A new perspective on quantum field theory revealing possible existence of another kind of fermions forming dark matter ⋮ Pais–Uhlenbeck oscillator and negative energies

Cites Work

• Sulla stabilita dell'equilibrio nei casi critici
• New aspects in the theory of stability of Hamiltonian systems
• The branching rule for the restriction from SO(7) to G₂
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• On Field Theories with Non-Localized Action

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