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A general fractional-order dynamical network: Synchronization behavior and state tuning
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10.1063/1.3701726
/content/aip/journal/chaos/22/2/10.1063/1.3701726
http://aip.metastore.ingenta.com/content/aip/journal/chaos/22/2/10.1063/1.3701726
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic form of the considered network model (5) .

Image of FIG. 2.
FIG. 2.

Chaotic behavior of the fractional-order Lorenz system (25) with and initial conditions . (a) Time evolution of state variables , and and (b) view on space.

Image of FIG. 3.
FIG. 3.

Synchronized dynamics of the FDN (28) consisting of coupled fractional-order Lorenz systems with and . (a) The time evolutions of ; (b) the time evolutions of ; and (c) the time evolutions of .

Image of FIG. 4.
FIG. 4.

Synchronized dynamics of the FDN (28) consisting of coupled fractional-order Lorenz systems with and . (a) The time evolutions of ; (b) the time evolutions of ; and (c) the time evolutions of .

Image of FIG. 5.
FIG. 5.

Synchronized dynamics of the FDN (28) consisting of coupled fractional-order Lorenz systems with and . (a) The time evolutions of ; (b) the time evolutions of ; and (c) the time evolutions of .

Image of FIG. 6.
FIG. 6.

Damped oscillations in the fractional-order Rössler system (29) with and initial conditions . (a) Time evolution of state variables , and and (b) view on space.

Image of FIG. 7.
FIG. 7.

Synchronized dynamics of the FDN (30) consisting of coupled fractional-order Rössler systems with and . (a) The time evolutions of ; (b) the time evolutions of ; and (c) the time evolutions of .

Image of FIG. 8.
FIG. 8.

Synchronized dynamics of the FDN (30) consisting of coupled fractional-order Rössler systems with and . (a) The time evolutions of ; (b) the time evolutions of ; and (c) the time evolutions of .

Image of FIG. 9.
FIG. 9.

Synchronized chaos in the 3rd node of the FDN (30) consisting of coupled fractional-order Rössler systems with and . (a) Time evolution of state variables , and and (b) view on space.

Image of FIG. 10.
FIG. 10.

Synchronized dynamics of the FDN (30) consisting of coupled fractional-order Rössler systems with and . (a) The time evolutions of ; (b) the time evolutions of ; and (c) the time evolutions of .

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/content/aip/journal/chaos/22/2/10.1063/1.3701726
2012-04-09
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A general fractional-order dynamical network: Synchronization behavior and state tuning
http://aip.metastore.ingenta.com/content/aip/journal/chaos/22/2/10.1063/1.3701726
10.1063/1.3701726
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