Evolution of the Dynamic Dissipative Systems as a Temporal “Colour” Fractal

Serge F. Timashev, Yegor Yu. Budnikov, Vladimir L. Klochikhin, Irina G. Kostuchenko, Sergey G. Lakeev and Alexander V. Maximychev
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Serge F. Timashev: Karpov Institute of Physical Chemistry
Yegor Yu. Budnikov: Karpov Institute of Physical Chemistry
Vladimir L. Klochikhin: Karpov Institute of Physical Chemistry
Irina G. Kostuchenko: Karpov Institute of Physical Chemistry
Sergey G. Lakeev: Karpov Institute of Physical Chemistry
Alexander V. Maximychev: Karpov Institute of Physical Chemistry

A chapter in Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media, 1999, pp 17-50 from Springer

Abstract: Abstract New possibilities in elaborating the evolution of dynamical dissipative system evolution are associated with the ideas of nonlinear system dynamics and deterministic chaos1–4. In this paper a new phenomenological method for analysis of non-linear dissipative system dynamics, which may be called flicker-noise spectroscopy5–8, is presented. An algorithm is developed which allows us to obtain as many phenomenological parameters — “passport data” — as necessary for the description and characterization of the dynamic system’s state and the changes of its state during evolution. We demonstrate the application of this approach for analysis of the time series by describing various phenomena. Spatial space structures may be examined in a similar manner.

Keywords: Time Series; Power Spectrum; Solar Neutrino; Solar Total Irradiance; Solar Magnetic Field (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-4799-0_2

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DOI: 10.1007/978-1-4615-4799-0_2

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