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

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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

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Аnalytical research of nonlinear properties of ferroelectrics

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

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.

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