Stepwise precession of the resonant swinging spring. (English) Zbl 1140.37350

Holm, Darryl D.; Lynch, Peter

SIAM J. Appl. Dyn. Syst. 1, No. 1, 44-64 (2002).

MSC:

37J15	Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010)
37J35	Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
70H06	Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics
37N05	Dynamical systems in classical and celestial mechanics
37N15	Dynamical systems in solid mechanics

Keywords:

classical mechanics; variational principles; averaged Lagrangian; elastic pendulum; nonlinear resonance