An extension of the Lyapunov analysis for the predictability problem

Details An extension of the Lyapunov analysis for the predictability problem An extension of the Lyapunov analysis for the predictability problem

1998-01-22

arxiv.org/abs/chao-dyn/9801030v1

Nonlinear Sciences

Chaotic Dynamics

5 pages RevTeX, 6 PostScript figures. In press on Journal of the Atmospheric Sciences

Scientific paper

10.1175/1520-0469(1998)055<3409:

The predictability problem for systems with different characteristic time scales is investigated. It is shown that even in simple chaotic dynamical systems, the leading Lyapunov exponent is not sufficient to estimate the predictability time. This fact is due the saturation of the error on the fast components of the system which therefore do not contribute to the exponential growth of the error at large errors. It is proposed to adopt a generalization of the Lyapunov exponent which is based on the natural concept of error growing time at finite error size. The method is first illustrated on a simple numerical model obtained by coupling two Lorenz systems with different time scales. As a more realistic example, this analysis is then applied to a toy model of Atmospheric circulation recently introduced by Lorenz.

Affiliated with

Also associated with

No associations

Rating

An extension of the Lyapunov analysis for the predictability 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 An extension of the Lyapunov analysis for the predictability problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An extension of the Lyapunov analysis for the predictability problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-210088