Exponential localization of singular vectors in spatiotemporal chaos

Details Exponential localization of singular vectors in spatiotemporal chaos Exponential localization of singular vectors in spatiotemporal chaos

2009-03-12

arxiv.org/abs/0903.2236v1

Phys. Rev. E 79, 036202 (2009)

Nonlinear Sciences

Chaotic Dynamics

5 pages

Scientific paper

10.1103/PhysRevE.79.036202

In a dynamical system the singular vector (SV) indicates which perturbation will exhibit maximal growth after a time interval $\tau$. We show that in systems with spatiotemporal chaos the SV exponentially localizes in space. Under a suitable transformation, the SV can be described in terms of the Kardar-Parisi-Zhang equation with periodic noise. A scaling argument allows us to deduce a universal power law $\tau^{-\gamma}$ for the localization of the SV. Moreover the same exponent $\gamma$ characterizes the finite-$\tau$ deviation of the Lyapunov exponent in excellent agreement with simulations. Our results may help improving existing forecasting techniques.

Affiliated with

Also associated with

No associations

Rating

Exponential localization of singular vectors in spatiotemporal chaos 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 Exponential localization of singular vectors in spatiotemporal chaos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exponential localization of singular vectors in spatiotemporal chaos will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-37072