1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Spectral properties of chimera states
Rent:
Rent this article for
USD
10.1063/1.3563579
/content/aip/journal/chaos/21/1/10.1063/1.3563579
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/1/10.1063/1.3563579
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) Phase snapshot of a chimera state in system (1); (b) corresponding time averaged phase velocities . Parameters: N = 200, r = 0.7, and .

Image of FIG. 2.
FIG. 2.

(Color) Lyapunov spectra computed for chimera trajectories of (1) with coupling radius r = 0.63 (red circles), 0.69 (green diamonds), and 0.73 (blue triangles), and phase lag .

Image of FIG. 3.
FIG. 3.

(Color) Dependence of the maximal Lyapunov exponent on the coupling radius r and the phase lag . The gray region at the bottom indicates the parameter region, where we found chimera trajectories for N = 100, the green line indicates the boundary of the existence region for chimera states in the thermodynamic limit .

Image of FIG. 4.
FIG. 4.

Relative Lyapunov dimension (dots) and relative size of the incoherent region S incoh (solid line): (a) for varying coupling radius r, and , (b) for varying system size N, and r = 0.7, .

Image of FIG. 5.
FIG. 5.

(Color) Lyapunov spectra computed for chimera trajectories of (1) with system size N = 60 (red circles), 90 (green diamonds), and 120 (blue triangles). Other parameters: r = 0.7, .

Image of FIG. 6.
FIG. 6.

Scaling behavior of the maximal Lyapunov exponent and of the intermediate Lyapunov exponent . (a) Natural and (b) logarithmic scale. Fitted lines and . Parameters: r = 0.7, .

Image of FIG. 7.
FIG. 7.

Solutions of self-consistency Eqs. (13) and (14). (a) Local mean field , (b) corresponding nonlocal coupling force . Parameters: r = 0.7, .

Image of FIG. 8.
FIG. 8.

(a) Continuous spectrum of a chimera state in system Eq. (1) with r = 0.7 and . (b) Corresponding Lyapunov spectrum function according to Eq. (20).

Image of FIG. 9.
FIG. 9.

(Color) Comparison of the Lyapunov spectra (color dots) from Fig. 2 with the corresponding Lyapunov spectrum functions (color lines) defined by Eq. (20).

Loading

Article metrics loading...

/content/aip/journal/chaos/21/1/10.1063/1.3563579
2011-03-28
2014-04-17
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Spectral properties of chimera states
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/1/10.1063/1.3563579
10.1063/1.3563579
SEARCH_EXPAND_ITEM