ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Kamyshlov V. V., Bystrov V. S. Аnalytical research of nonlinear properties of ferroelectrics. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 2, pp. 77-94. DOI: 10.18500/0869-6632-2014-22-2-77-94

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
532.59

Аnalytical research of nonlinear properties of ferroelectrics

Autors: 
Kamyshlov Vladimir Vitalevich, Institute of Mathematical Problems of Biology RAS
Bystrov Vladimir Sergeevich, Institute of Mathematical Problems of Biology RAS
Abstract: 

This paper describes a method to obtain an analytical expression for the nonlinear dependence of the ferroelectric polarization on the external electric field. To find analytical dependence, used a special Kml-function of second order. Listed structure built of series and groups  of series representing Kml-function at any point in the complex plane. Analyzed domain of  convergence of series , received as a boundary condition. To show the application of the method, as  an example used a ferroelectric polymer polyvinylidene fluoride (PVDF–TrFE ). The proposed method can be used for any other ferroelectric or nonlinear systems ordered in the neighborhood of phase transitions under various external influences.

Reference: 
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Received: 
26.03.2014
Accepted: 
26.03.2014
Published: 
31.07.2014
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