The route to chaos during a pulsation event

Details The route to chaos during a pulsation event The route to chaos during a pulsation event

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989soph..119..399k&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 119, no. 2, 1989, p. 399-410.

Physics

19

Chaos, Pulsed Radiation, Solar Radio Emission, Liapunov Functions, Power Spectra, Strange Attractors, Time Series Analysis

Scientific paper

A time series analysis of a pulsation event in solar radio emission provides an evolution from a regular doubly periodic phase to an irregular behavior. 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 Liapunov 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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