41 citations · 52 across the 15 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2003
Non-contractible periodic orbits of Hamiltonian flows on twisted cotangent bundles
Cesar J. Niche
For many classes of symplectic manifolds, the Hamiltonian flow of a function with sufficiently large variation must have a fast periodic orbit. This principle is the base of the no…
math.DS2001
Topological entropy of a magnetic flow and the growth of the number of trajectories
Cesar J. Niche
Final version. To appear in Discrete and Continuous Dynamical Systems - A.
math.DS2000★ 7 cited
On the topological entropy of an optical Hamiltonian flow
Cesar J. Niche
In this article we prove two formulas for the topological entropy of an F-optical Hamiltonian flow induced by a C^{\infty} Hamiltonian, where F is a Lagrangian distribution. In the…