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Sonechkin D. M., Dacenko N. M., Ivashchenko N. N. New method of chaotic теме series extrapolation by means of wavelets with an application to climate dynamics. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 4, pp. 108-121.

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Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
551.509+621.317

New method of chaotic теме series extrapolation by means of wavelets with an application to climate dynamics

Autors: 
Sonechkin Dmitrij Mihajlovich, Hydrometeorological Research Centre of Russian Federation
Dacenko N. M., Hydrometeorological Research Centre of Russian Federation
Ivashchenko Nadezhda Nazarovna, Hydrometeorological Research Centre of Russian Federation
Abstract: 

Basing on the so-called frame of the wavelet transform one can split any chaotic time series of interest to statistically stationary oscillations and a trend-like component. Such splitting seems to be useful in order to continue the time series into future because extrapolation of the trend-like component usually is a trivial procedure. As far as the oscillations are concerned, those can be predicted with some success by means of а special mapping of their running extreme (a maximum and a minimum) onto the corresponding next ones. Both procedures (splitting and mapping) are illustrated on an example of the current climate change problem. As a result of these procedures using, the conclusion has been obtained that the current global warming probably will be checked during the next several years.

Key words: 
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Acknowledgments: 
This work was carried out with partial support from the Russian Foundation for Basic Research (grant 94-05-16341).
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Received: 
31.07.1995
Accepted: 
20.08.1996
Published: 
10.12.1996
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