WHAT CAN WE LEARN ABOUT FERROELECTRICS USING METHODS OF NONLINEAR DYNAMICS?
The nonlinear series resonance circuit with ferroelectric capacitor has been extensively investigated. If the ferroelectric within the capacitor is in its polar phase many of the features well known from model systems of nonlinear dynamics may be observed. These characteristics are the shift of reso...
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2003-01-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.6.2.189 |
| _version_ | 1818049439807307776 |
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| author | M.Diestelhorst |
| author_facet | M.Diestelhorst |
| author_sort | M.Diestelhorst |
| collection | DOAJ |
| description | The nonlinear series resonance circuit with ferroelectric capacitor has been extensively investigated. If the ferroelectric within the capacitor is in its polar phase many of the features well known from model systems of nonlinear dynamics may be observed. These characteristics are the shift of resonance frequency with increasing driving voltage, bifurcations and chaotic behaviour. Considerations of the system on the basis of simple Landau-theory suggest to describe the resonance circuit by means of a Duffing-equation. Because of the switching process during the nonlinear vibrations the real situation is more complicated as can be shown by nonlinear time series analysis. |
| first_indexed | 2024-12-10T10:37:36Z |
| format | Article |
| id | doaj.art-c91076156b474e66ad504d43220147d2 |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-12-10T10:37:36Z |
| publishDate | 2003-01-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-c91076156b474e66ad504d43220147d22022-12-22T01:52:24ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2003-01-016218919610.5488/CMP.6.2.189WHAT CAN WE LEARN ABOUT FERROELECTRICS USING METHODS OF NONLINEAR DYNAMICS?M.DiestelhorstThe nonlinear series resonance circuit with ferroelectric capacitor has been extensively investigated. If the ferroelectric within the capacitor is in its polar phase many of the features well known from model systems of nonlinear dynamics may be observed. These characteristics are the shift of resonance frequency with increasing driving voltage, bifurcations and chaotic behaviour. Considerations of the system on the basis of simple Landau-theory suggest to describe the resonance circuit by means of a Duffing-equation. Because of the switching process during the nonlinear vibrations the real situation is more complicated as can be shown by nonlinear time series analysis.http://dx.doi.org/10.5488/CMP.6.2.189ferroelectricitydomainsTGSnonlinear dynamicsDuffing-equationchaos |
| spellingShingle | M.Diestelhorst WHAT CAN WE LEARN ABOUT FERROELECTRICS USING METHODS OF NONLINEAR DYNAMICS? Condensed Matter Physics ferroelectricity domains TGS nonlinear dynamics Duffing-equation chaos |
| title | WHAT CAN WE LEARN ABOUT FERROELECTRICS USING METHODS OF NONLINEAR DYNAMICS? |
| title_full | WHAT CAN WE LEARN ABOUT FERROELECTRICS USING METHODS OF NONLINEAR DYNAMICS? |
| title_fullStr | WHAT CAN WE LEARN ABOUT FERROELECTRICS USING METHODS OF NONLINEAR DYNAMICS? |
| title_full_unstemmed | WHAT CAN WE LEARN ABOUT FERROELECTRICS USING METHODS OF NONLINEAR DYNAMICS? |
| title_short | WHAT CAN WE LEARN ABOUT FERROELECTRICS USING METHODS OF NONLINEAR DYNAMICS? |
| title_sort | what can we learn about ferroelectrics using methods of nonlinear dynamics |
| topic | ferroelectricity domains TGS nonlinear dynamics Duffing-equation chaos |
| url | http://dx.doi.org/10.5488/CMP.6.2.189 |
| work_keys_str_mv | AT mdiestelhorst whatcanwelearnaboutferroelectricsusingmethodsofnonlineardynamics |