Nonintegrability and Chaos in the Anisotropic Manev Problem

Details Nonintegrability and Chaos in the Anisotropic Manev Problem Nonintegrability and Chaos in the Anisotropic Manev Problem

2000-05-25

arxiv.org/abs/nlin/0005051v1

Physica D: Nonlinear Phenomena Volume 156, Issues 1-2, 1 August 2001, Pages 39-52

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1016/S0167-2789(01)00248-2

The anisotropic Manev problem, which lies at the intersection of classical, quantum, and relativity physics, describes the motion of two point masses in an anisotropic space under the influence of a Newtonian force-law with a relativistic correction term. Using an extension of the Poincare'-Melnikov method, we first prove that for weak anisotropy, chaos shows up on the zero-energy manifold. Then we put into the evidence a class of isolated periodic orbits and show that the system is nonintegrable. Finally, using the geodesic deviation approach, we prove the existence of a large non-chaotic set of uniformly bounded and collisionless solutions.

Affiliated with

Also associated with

No associations

Rating

Nonintegrability and Chaos in the Anisotropic Manev Problem 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 Nonintegrability and Chaos in the Anisotropic Manev Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonintegrability and Chaos in the Anisotropic Manev Problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-200917