On Periodic Solutions to Some Lagrangian System With Two Degrees of Freedom
Oleg Zubelevich
TL;DR
This paper investigates a Lagrangian system with two degrees of freedom on a cylindrical configuration space, discovering a wide variety of non-homotopic periodic solutions.
Contribution
It identifies a large class of non-homotopic periodic solutions in a two-degree-of-freedom Lagrangian system with cylindrical configuration space.
Findings
Found a large class of periodic solutions.
Solutions are not homotopy equivalent.
System analyzed on a cylindrical configuration space.
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.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematics and Applications · Nonlinear Waves and Solitons