Call number:
ZSP-686-161
In:
Report / Max-Planck-Institut für Meteorologie ; 161, No. 161
Description / Table of Contents:
A method of constructing low-dimensional nonlinear models capturing the main features of complex dynamical systems with many degrees of freedom is described. The system is projected onto a linear subspace spanned by only a few characteristic spatial structures called Principal Interaction Patterns (PIPs). The expansion coefficients are assumed to be governed by a nonlinear dynamical system. The optimal low-dimensional model is determined by identifying spatial modes and interaction coefficients describing their time evolution simultaneously according to a nonlinear variational principle.
The algorithm is applied to a two-dimensional geophysical fluid system on the sphere. The models based on Principal Interaction Patterns are compared to models using Empirical Orthogonal Functions (EOFs) as basis functions. A PIP-model using 12 patterns is capable of capturing the long-term behaviour of the complete system monitored by second-order statistics, while in the case of EOFs 17 modes are necessary.
Type of Medium:
Series available for loan
Pages:
40, 6 S.
,
graph. Darst
Series Statement:
Report / Max-Planck-Institut für Meteorologie 161
Language:
English
Location:
AWI Reading room
Branch Library:
AWI Library
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