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Measure of Synchronism of Multidimensional Chaotic Sequences Based on Their Symbolic Representation in a T-Alphabet
Chaotic Dynamics · Submitted 12 Dec 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The results confirm the informativity of the analyzer and reveal specific features of changes in the structure of an attractor of the three-component test system.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
A new approach to analysis of the synchronization of chaotic oscillations in two (or more) coupled oscillators is described that makes it possible to reveal changes in the structure of attractors and detect the appearance of intermittency. The proposed method is based on a symbolic analysis developed previously in the velocity-curvature space of multidimensional sequences and maps. The method is tested by application to a Lorentz system. The results confirm the informativity of the analyzer and reveal specific features of changes in the structure of an attractor of the three-component test system.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A new approach to analysis of the synchronization of chaotic oscillations in two (or more) coupled oscillators is described that makes it possible to reveal changes in the structure of attractors and detect the appearance of intermittency. | contribution 1.00 | 0.78 | 0.35 | asserted 0.75 |
| s1 | The proposed method is based on a symbolic analysis developed previously in the velocity-curvature space of multidimensional sequences and maps. | method 0.95 | 0.21 | 0.05 | asserted 1.00 |
| s2 | The method is tested by application to a Lorentz system. | method 0.95 | 0.88 | 0.03 | asserted 0.98 |
| s3 | The results confirm the informativity of the analyzer and reveal specific features of changes in the structure of an attractor of the three-component test system. | result 0.87 | 0.94 | 0.66 | asserted 1.00 |
What was examined, and what was not
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The paper
Original abstract
A new approach to analysis of the synchronization of chaotic oscillations in two (or more) coupled oscillators is described that makes it possible to reveal changes in the structure of attractors and detect the appearance of intermittency. The proposed method is based on a symbolic analysis developed previously in the velocity-curvature space of multidimensional sequences and maps. The method is tested by application to a Lorentz system. The results confirm the informativity of the analyzer and reveal specific features of changes in the structure of an attractor of the three-component test system.
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