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Dynamical systems analysis for polarization in ferroelectrics
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10.1063/1.2388124
/content/aip/journal/jap/100/11/10.1063/1.2388124
http://aip.metastore.ingenta.com/content/aip/journal/jap/100/11/10.1063/1.2388124

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Landau-Ginzburg potential for and (overlapping) and for for the value of for lithium niobate ferroelectric crystal.

Image of FIG. 2.
FIG. 2.

(Color online) Phase plane diagram at and showing two circling orbits with a stable focus with centers at .

Image of FIG. 3.
FIG. 3.

(Color online) Phase plane diagram at and showing saddle point (darker regions) and two circling orbits with centers at .

Image of FIG. 4.
FIG. 4.

(Color online) The polarization vs time plot showing oscillations for and .

Image of FIG. 5.
FIG. 5.

(Color online) The polarization vs time plot showing the effect of damping on oscillations for and at about .

Image of FIG. 6.
FIG. 6.

(Color online) The equilibrium hysteresis curve of vs showing the stability points and bifurcation points at and .

Image of FIG. 7.
FIG. 7.

(Color online) Phase plane diagram at and showing stability on the left hand side with a center near .

Image of FIG. 8.
FIG. 8.

(Color online) Phase plane diagram showing chaos in an oscillatory field with , , and .

Image of FIG. 9.
FIG. 9.

(Color online) Lyapunov exponents spectrum showing chaos at high oscillatory field, at the amplitude of the applied electric field, once at 130 and again after about 136.

Tables

Generic image for table
Table I.

Stability behavior for different cases.

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/content/aip/journal/jap/100/11/10.1063/1.2388124
2006-12-06
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Dynamical systems analysis for polarization in ferroelectrics
http://aip.metastore.ingenta.com/content/aip/journal/jap/100/11/10.1063/1.2388124
10.1063/1.2388124
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