Lyapunov exponents from geodesic spread in configuration space

Details Lyapunov exponents from geodesic spread in configuration space Lyapunov exponents from geodesic spread in configuration space

1998-10-15

arxiv.org/abs/chao-dyn/9810020v1

Phys. Rev. E 56 4872 (1997)

Nonlinear Sciences

Chaotic Dynamics

REVTEX file, 10 pages, 2 figures

Scientific paper

10.1103/PhysRevE.56.4872

The exact form of the Jacobi -- Levi-Civita (JLC) equation for geodesic spread is here explicitly worked out at arbitrary dimension for the configuration space manifold M_E = {q in R^N | V(q) < E} of a standard Hamiltonian system, equipped with the Jacobi (or kinetic energy) metric g_J. As the Hamiltonian flow corresponds to a geodesic flow on (M_E,g_J), the JLC equation can be used to study the degree of instability of the Hamiltonian flow. It is found that the solutions of the JLC equation are closely resembling the solutions of the standard tangent dynamics equation which is used to compute Lyapunov exponents. Therefore the instability exponents obtained through the JLC equation are in perfect quantitative agreement with usual Lyapunov exponents. This work completes a previous investigation that was limited only to two-degrees of freedom systems.

Affiliated with

Also associated with

No associations

Rating

Lyapunov exponents from geodesic spread in configuration space 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 Lyapunov exponents from geodesic spread in configuration space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lyapunov exponents from geodesic spread in configuration space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-106871