The route to chaos during a pulsation event |
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Authors: | Jürgen Kurths Marian Karlický |
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Affiliation: | (1) Zentralinstitut für Astrophysik, AdW der DDR, Observatorium für solare Radioastronomie, 1501 Tremsdorf, G.D.R.;(2) Astronomical Institute, Czechoslovak Academy of Sciences, 251 65 Ondejov, Czechoslovakia |
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Abstract: | A time series analysis of a pulsation event in solar radio emission provides an evolution from a regular doubly periodic phase to an irregular behaviour. Applying some techniques developed in the theory of nonlinear dynamic systems to this irregular stage suggests that there exists a low-dimensional attractor. Estimates of the maximum Lyapunov exponent give some evidence to deterministic chaos. The sudden transition from a regular to a chaotic structure is identified as a part of the Ruelle-Takens-Newhouse route to chaos which is typical in nonlinear systems. It is checked whether this pulsation event may be interpreted in terms of known pulsation models. Consequences for models, which are suitable to describe such an evolution, are discussed. |
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