Differential Constraints in Chaotic Flows on Curved Manifolds

Details Differential Constraints in Chaotic Flows on Curved Manifolds Differential Constraints in Chaotic Flows on Curved Manifolds

2001-05-07

arxiv.org/abs/nlin/0105010v1

Nonlinear Sciences

Chaotic Dynamics

22 pages. LaTeX 2e with Elsevier style (included). Submitted to Physica D

Scientific paper

The Lagrangian derivatives of finite-time Lyapunov exponents and the corresponding characteristic directions are shown to satisfy time-asymptotic differential constraints in chaotic flows. The constraints are valid for any metric tensor, and are realised with exponential accuracy in time. Some of these constraints were derived previously for chaotic systems on low-dimensional Euclidean spaces, by requiring that the Riemann curvature tensor vanish in Lagrangian coordinates. The new derivation applies in any number of dimensions, predicts the number of constraints for a given flow, and provides a rigorous convergence rate of the constraints.

Affiliated with

Also associated with

No associations

Rating

Differential Constraints in Chaotic Flows on Curved Manifolds 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 Differential Constraints in Chaotic Flows on Curved Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differential Constraints in Chaotic Flows on Curved Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-559124