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Influence of chaotic synchronization on mixing in the phase space of interacting systems
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10.1063/1.4773824
/content/aip/journal/chaos/23/1/10.1063/1.4773824
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/1/10.1063/1.4773824
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The mean synchronization error versus the coupling coefficient for the system (2) with , . For , complete synchronization is observedin the system. Insets demonstrate the projections of the phase space of the system (2) to plane.

Image of FIG. 2.
FIG. 2.

Relative metric entropy of the system (2) with , versus the coupling coefficient. Complete synchronization is observed for .

Image of FIG. 3.
FIG. 3.

The probability density distribution in plane for the model system (2) with , , and (a) ; (b) .

Image of FIG. 4.
FIG. 4.

Relative metric entropy versus the coupling strength for the system (3) with , , and the different values of the noise intensity D. Without noise, complete synchronization of chaos is observed for .

Image of FIG. 5.
FIG. 5.

The relative metric entropy (upper subfigure) and a projection of Poincaré section (lower subfigure) versus the coupling strength for the system (4) with , , and . Complete synchronization of chaos is observed for . Insets in the upper subfigure demonstrate the projections of the phase space of the system (4) to plane.

Image of FIG. 6.
FIG. 6.

Relative metric entropy versus the coupling strength for the system (4) with , , and three different values of the noise intensity D. Without noise, complete synchronization of chaos is observed for .

Image of FIG. 7.
FIG. 7.

Relative metric entropy of the system (5) with and versus the coupling coefficient . Phase synchronization of chaos is observed for . Insets demonstrate the power spectra of x 1 (black) and x 2 (grey, blue online) in (5) .

Image of FIG. 8.
FIG. 8.

Relative metric entropy of the system (6) with and versus the coupling coefficient for different values of noise intensity. Without noise, phase synchronization is observed for .

Image of FIG. 9.
FIG. 9.

Relative metric entropy of the system (7) with , , and versus the coupling coefficient (7) for . Phase synchronization is observed for . Insets demonstrate the power spectra of x 1 (black) and x 2 (grey, blue online) in (5) .

Image of FIG. 10.
FIG. 10.

Relative metric entropy of the system (7) with , , and versus the coupling coefficient (7) for three different values of noise intensity. Without noise, phase synchronization is observed for .

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/content/aip/journal/chaos/23/1/10.1063/1.4773824
2013-01-04
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Influence of chaotic synchronization on mixing in the phase space of interacting systems
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/1/10.1063/1.4773824
10.1063/1.4773824
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