Periodic orbits for exact magnetic flows on surfaces

By G. Contreras, Leonardo Macarini, Gabriel P. Paternain. 2004

117 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dcab5054e70bfe825155ce9a6186f73bdbf0504c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. G. Contreras
2. Otto van Koert
3. Urs Frauenfelder
4. Peter Albers
5. Gabriel P. Paternain
6. F. Schlenk
7. Michael Usher
8. Nick Sheridan

In Mathematical Physics

1. G. Contreras
2. Otto van Koert
3. Urs Frauenfelder
4. Peter Albers
5. Gabriel P. Paternain
6. F. Schlenk
7. Michael Usher
8. Nick Sheridan

In Statistical and Nonlinear Physics

1. G. Contreras
2. Urs Frauenfelder
3. Otto van Koert
4. F. Schlenk
5. Gabriel P. Paternain
6. P. Bernard
7. A. Sorrentino

Citations in the corpus

• Contact geometry of the restricted three‐body problem (2010, background): “Indeed, formally the rotational forces are nothing but the Lorentz force of a magnetic field (after switching to the effective potential, see below) and we refer to [7, 9] for examples of energy hypersurfaces which are not contact in the presence of a magnetic field.”
• Applications of Hofer's geometry to Hamiltonian dynamics (2003, background): “There has been much recent progress in the existence problem for periodic orbits of a charge in a magnetic field ([45], [31], [1], [13], [24], [14], [38], [50], [18], [30], [7], [19], [5], [17], [41], [8], [6], [12], [47]).”
• The Palais-Smale condition on contact type energy levels for convex Lagrangian systems (2003, background): “There is an example in [7] of a lagrangian in T2 for which the energy level E = c0(L) is of contact type.”