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.
Reversal of spiral waves in an oscillatory system caused by an inhomogeneity
Rent:
Rent this article for
USD
10.1063/1.4819900
/content/aip/journal/chaos/23/3/10.1063/1.4819900
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/3/10.1063/1.4819900
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Transition from outward to inward rotating spiral waves caused by a localized inhomogeneity in the CGLE. (a)–(c) Development of an outward spiral wave from cross-gradient initial condition in the absence of inhomogeneity, i.e., . (d)–(f) The outward spiral is transmitted to an inward spiral after applying the inhomogeneity around the spiral core, . (g) Corresponding space time plot along  = 200 [see dashed lines in (a)] and one finds a clear transition from outward to inward wave propagation. Other parameters are , and . White arrows (the same meaning in Figs. 2 and 5 ) denote the direction of wave propagation, i.e., the phase velocity. The system consists of 400 × 400 grid points. The space and time step is and , respectively.

Image of FIG. 2.
FIG. 2.

Transition from inward to outward spirals in Eq. (1) . (a) An inward spiral, ; (b) a frozen spiral, ; (c) an outward spiral, . (d)–(f) are the corresponding space-time plots of (a)–(c). Other parameters are , and .

Image of FIG. 3.
FIG. 3.

The dependence of absolute value of the wave number on . (a) and . (b) and . It suggests that the inhomogeneity satisfying leads to the increase of the wave number, while satisfying would decrease the wave number.

Image of FIG. 4.
FIG. 4.

The dependence of frequency on . (a) . (b) and . It shows that can change its sign at (see the arrow).

Image of FIG. 5.
FIG. 5.

Reversal of spiral waves caused by an obstacle. (a) An outward spiral wave in the CGLE without any obstacle. (b) An inward spiral wave transmitted from (a) caused by an obstacle ( ) around the spiral core. (c) Corresponding space-time plot of the transition from outward to inward rotating spiral wave. (d)–(e) Dependence of the wave number and the frequency on the obstacle “radius” δ. The dependence of (d) and (e) on the obstacle “radius” δ. Here, and .

Loading

Article metrics loading...

/content/aip/journal/chaos/23/3/10.1063/1.4819900
2013-08-30
2014-04-17
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Reversal of spiral waves in an oscillatory system caused by an inhomogeneity
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/3/10.1063/1.4819900
10.1063/1.4819900
SEARCH_EXPAND_ITEM