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Gonçalves, W. M.; Pinto, R. D.; Sartorelli, J. C.

Symbolic dynamics analysis in the dripping faucet experiment. (English) Zbl 0942.37021

Physica D 134, No. 2, 267-274 (1999).
The authors characterize three chaotic attractors by constructing graphs which are an approximation to minimal machines, and by the calculation of set complexity. Moreover, they present a new graphical representation of symbolic sequences, whose fragmentation reflects the corresponding set of complexity, and which can be applied to estimate fractal dimensions of fragmentation patterns.
Reviewer: Messoud Efendiev (Berlin)

Cited in 3 Documents

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37B10 Symbolic dynamics

Keywords:

chaotic attractors; graphical representation; symbolic sequences; fractal dimensions; fragmentation patterns
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Full Text: DOI

References:

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