Spiraling of adjacent trajectories in chaotic systems

Details Spiraling of adjacent trajectories in chaotic systems Spiraling of adjacent trajectories in chaotic systems

2004-06-21

arxiv.org/abs/nlin/0406048v1

Nonlinear Sciences

Chaotic Dynamics

12 pages, 6 figures

Scientific paper

The spiraling of adjacent trajectories in chaotic dynamical systems can be characterized by distribution of local angular velocities of rotation of the displacement vector, which is governed by linearized equations of motion. This distribution, akin to that of local Lyapunov exponents, is studied for three examples of three-dimensional flows. Toy model shows that the rotation rate of adjacent trajectories influences on the rate of mixing of dynamic variables and on the sensitivity of trajectories to perturbations.

Affiliated with

Also associated with

No associations

Rating

Spiraling of adjacent trajectories in chaotic systems 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 Spiraling of adjacent trajectories in chaotic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spiraling of adjacent trajectories in chaotic systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-57643