Global vector field reconstruction for dynamical systems
作者:
C. Letellier,
J. Maquet,
L. Le Sceller,
G. Gouesbet,
期刊:
AIP Conference Proceedings
(AIP Available online 1999)
卷期:
Volume 465,
issue 1
页码: 339-352
ISSN:0094-243X
年代: 1999
DOI:10.1063/1.58270
出版商: AIP
数据来源: AIP
摘要:
When a dynamical system is studied, one of the most interesting goals is to obtain a set of differential equations which provides a model of its behavior. Indeed, it has been pointed out that the knowledge of a global model which captures all the underlying dynamics provides a significant step in the understanding of physical processes. In the case of experiments, the aim is therefore to obtain a set of ordinary differential equations which generates a behavior equivalent to the experimental one starting from a scalar time series given for an observable. The method, the so-called global vector field reconstruction, is described as well as exemplified on experimental cases arising from chemistry, namely a copper electrodissolution and a Belousov-Zhabotinskii reaction. Numerical examples for taking into account a control parameter or for modelling a driven system are also discussed. ©1999 American Institute of Physics.
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