Hyperbolic Magnetic Billiards on Surfaces of Constant Curvature

Details Hyperbolic Magnetic Billiards on Surfaces of Constant Curvature Hyperbolic Magnetic Billiards on Surfaces of Constant Curvature

2000-03-13

arxiv.org/abs/nlin/0003033v1

Nonlinear Sciences

Chaotic Dynamics

25 pages, 12 ps figures

Scientific paper

10.1007/s002200000346

We consider classical billiards on surfaces of constant curvature, where the charged billiard ball is exposed to a homogeneous, stationary magnetic field perpendicular to the surface. We establish sufficient conditions for hyperbolicity of the billiard dynamics, and give lower estimation for the Lyapunov exponent. This extends our recent results for non-magnetic billiards on surfaces of constant curvature. Using these conditions, we construct large classes of magnetic billiard tables with positive Lyapunov exponents on the plane, on the sphere and on the hyperbolic plane.

Affiliated with

Also associated with

No associations

Rating

Hyperbolic Magnetic Billiards on Surfaces of Constant Curvature does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hyperbolic Magnetic Billiards on Surfaces of Constant Curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperbolic Magnetic Billiards on Surfaces of Constant Curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-149111