A continuation method to study periodic orbits of the Froeschlé map

DOI10.1016/0167-2789(94)90238-0zbMath0812.58036OpenAlexW2046424441MaRDI QIDQ1341823

Cristobal Vargas, Arturo Olvera

Publication date: 16 May 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90238-0

zbMATH Keywords

periodic orbitsdynamicsHamiltonian systemsFroeschlé map

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

A new method to compute periodic orbits in general symplectic maps

Cites Work

• An obstruction method for the destruction of invariant curves
• Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonian
• Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• ELLIPTIC NON-BIRKHOFF PERIODIC ORBITS IN THE TWIST MAPS
• A Class of Methods for Solving Nonlinear Simultaneous Equations
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