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5. Instantaneous phase dynamics and correlation analysis of spiral chaos. Experiments and a theoretical model.

Author

Vadivasova, T. E., Anishchenko, V. S., Okrokvertskhov, G. A., and Strelkova, G. I.

Subjects
MECHANICS (Physics), STATICS, DYNAMICS, PHYSICAL sciences, ELECTRONICS, MATERIALS science
Abstract

We show experimentally that the instantaneous phase dynamics has a great importance for the mixing in chaotic systems. In spite of some differences in the phase behavior, there is a common regularity of the correlations decay for a system in the regime of spiral chaos and a noisy self-sustained quasiharmonic oscillator. © 2004 American Institute of Physics [ABSTRACT FROM AUTHOR]

Published
2004
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6. CHAOTIC DYNAMICS OF A SPATIO-INHOMOGENEOUS MEDIUM.

Author

Anishchenko, V. S., Vadivasova, T. E., Okrokvertskhov, G. A., Akopov, A. A., and Strelkova, G. I.

Subjects
CHAOS theory, SYSTEMS theory, OSCILLATING chemical reactions, CHEMICAL reactions, AUTOCORRELATION (Statistics), STATISTICAL correlation, LINEAR statistical models, MATHEMATICAL models
Abstract

In the present paper we show that inhomogeneity of a continuous self-sustained oscillating medium can be a reason for the onset of chaotic behavior. It has been established that temporal chaotic dynamics typically arises in the medium with a linear mismatch of the natural frequency along a spatial coordinate, whereas a chaotic regime is not characteristic for the medium with randomly distributed frequencies. The interconnection has been revealed between the temporal chaotic behavior and the spatial formation of imperfect clusters. The spectral and correlation analysis as well as the linear analysis of stability of regular and chaotic regimes in the inhomogeneous medium are performed. The correlation of the instantaneous phase dynamics of oscillations with the behavior of autocorrelation functions has been examined. It has been established that the characteristics of temporal chaos correspond to a spiral attractor (Shilnikov's attractor). [ABSTRACT FROM AUTHOR]

Published
2005
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