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.
Low-dimensional dynamical system for Rayleigh-Bénard convection subjected to magnetic field
Rent:
Rent this article for
USD
10.1063/1.4795264
/content/aip/journal/jap/113/12/10.1063/1.4795264
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/12/10.1063/1.4795264
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Changes in critical value of normalized Rayleigh number rp at which pitchfork bifurcation occurs as a function of Chandrasekhar number Q at magnetic Prandtl numbers Pm  = 0.1, 1, and 10.

Image of FIG. 2.
FIG. 2.

Changes in critical value of normalized Rayleigh number rh at which Hopf bifurcation occurs as a function of Chandrasekhar number Q at magnetic Prandtl numbers Pm  = 0.1, 1, and 10.

Image of FIG. 3.
FIG. 3.

Phase portraits of strange attractor in the chaos region (r = 28) projected onto X-Z, X-Y, and Y-Z planes as a function of Chandrasekhar number Q at magnetic Prandtl number Pm  = 0.1.

Image of FIG. 4.
FIG. 4.

Phase portraits of strange attractor in the chaos region (r = 28) projected onto X-Z, X-Y, and Y-Z planes as a function of Chandrasekhar number Q at magnetic Prandtl number Pm  = 1.

Image of FIG. 5.
FIG. 5.

Phase portraits of strange attractor in the chaos region (r = 28) projected onto X-Z, X-Y, and Y-Z planes as a function of Chandrasekhar number Q at magnetic Prandtl number Pm  = 10.

Image of FIG. 6.
FIG. 6.

Return map in the chaos region (r = 28) with Chandrasekhar numbers Q = 0, 20, and 40 at magnetic Prandtl number Pm  = 10.

Image of FIG. 7.
FIG. 7.

Time evolution of X for intermittent chaos (r = 166.1) as a function of Chandrasekhar number Q at magnetic Prandtl number Pm  = 10.

Image of FIG. 8.
FIG. 8.
Image of FIG. 9.
FIG. 9.

Changes in largest Lyapunov exponent λ max of X in the intermittent chaos region (r = 166.1) as a function of Chandrasekhar number Q at magnetic Prandtl number Pm  = 10.

Image of FIG. 10.
FIG. 10.

Changes in correlation dimension Dc of X in the intermittent chaos region (r = 166.1) as a function of Chandrasekhar number Q at magnetic Prandtl number Pm  = 10.

Image of FIG. 11.
FIG. 11.

Time variations of the predicted and actual X in the intermittent chaos region (r = 166.1) with Chandrasekhar number Q = 60 at magnetic Prandtl number Pm  = 10.

Image of FIG. 12.
FIG. 12.

Correlation coefficient between actual and predicted X as a function of Chandrasekhar number Q at magnetic Prandtl number Pm  = 10.

Loading

Article metrics loading...

/content/aip/journal/jap/113/12/10.1063/1.4795264
2013-03-27
2014-04-16
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Low-dimensional dynamical system for Rayleigh-Bénard convection subjected to magnetic field
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/12/10.1063/1.4795264
10.1063/1.4795264
SEARCH_EXPAND_ITEM