Article
 

Lyapunov, Floquet, and singular vectors for baroclinic waves

公开 Deposited

可下载的内容

下载PDF文件
https://ir.library.oregonstate.edu/concern/articles/7h149r21s

Descriptions

Attribute NameValues
Creator
Abstract
  • The dynamics of the growth of linear disturbances to a chaotic basic state is analyzed in an asymptotic model of weakly nonlinear, baroclinic wave-mean interaction. In this model, an ordinary differential equation for the wave amplitude is coupled to a partial differential equation for the zonal flow correction. The leading Lyapunov vector is nearly parallel to the leading Floquet vector ø1 of the lowest-order unstable periodic orbit over most of the attractor. Departures of the Lyapunov vector from this orientation are primarily rotations of the vector in an approximate tangent plane to the large-scale attractor structure. Exponential growth and decay rates of the Lyapunov vector during individual Poincaré section returns are an order of magnitude larger than the Lyapunov exponent λ ≈ 0.016. Relatively large deviations of the Lyapunov vector from parallel to ø1 are generally associated with relatively large transient decays. The transient growth and decay of the Lyapunov vector is well described by the transient growth and decay of the leading Floquet vectors of the set of unstable periodic orbits associated with the attractor. Each of these vectors is also nearly parallel to ø1. The dynamical splitting of the complete sets of Floquet vectors for the higher-order cycles follows the previous results on the lowest-order cycle, with the vectors divided into wavedynamical and decaying zonal flow modes. Singular vectors and singular values also generally follow this split. The primary difference between the leading Lyapunov and singular vectors is the contribution of decaying, inviscidly-damped wave-dynamical structures to the singular vectors.
Resource Type
DOI
Date Available
Date Issued
Citation
  • Samelson, R. M.: Lyapunov, Floquet, and singular vectors for baroclinic waves, Nonlin. Processes Geophys., 8, 439-448, 2001.
Journal Title
Journal Volume
  • 8
权利声明
Publisher
Language
Replaces

关联

Parents:

This work has no parents.

单件

缩略图 标题 上传日期 公开度 行动
file details Samelson_Nonlinear_Processes_in_Geophysics_2001.pdf 2017-07-24 公开 下载