Application of Newton's method to Lagrangian mappings

DOI10.1016/0167-2789(89)90087-0zbMath0687.70007OpenAlexW2082410770MaRDI QIDQ1263303

James D. Meiss, Hyung-tae Kook

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90087-0

zbMATH Keywords

periodic orbitsNewton's methodblock-diagonalizationHessian matrixaction functionN degree-of-freedom Lagrangian mappings

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99) Lagrange's equations (70H03)

Related Items (3)

A chaotic lattice field theory in one dimension* ⋮ Stability of minimal periodic orbits. ⋮ A new method to compute periodic orbits in general symplectic maps

Cites Work

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• Orbit extension method for finding unstable orbits
• Transport in Hamiltonian systems
• Periodic orbits for reversible, symplectic mappings
• Regular and stochastic motion
• Converse KAM theory for symplectic twist maps
• Morse Theory. (AM-51)
• A Class of Methods for Solving Nonlinear Simultaneous Equations

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