On Periodic Solutions to Some Lagrangian System With Two Degrees of Freedom

2016/07/31 by Zubelevich, Oleg
#34C25 #70F20 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1608.01176

Abstract

A Lagrangian system with two degrees of freedom is considered. The configuration space of the system is a cylinder. A large class of periodic solutions has been found. The solutions are not homotopy equivalent to each other.

Related

• On Periodic Solutions to Lagrangian System With Singularities
• Periodic Solutions of a System of Coupled Oscillators Near Resonance
• Multiple periodic solutions for one-sided sublinear systems: A refinement of the Poincaré-Birkhoff approach
• Periodic solutions to symmetric Newtonian systems in neighborhoods of orbits of equilibria
• Existence of two periodic solutions to general anisotropic Euler-Lagrange equations