Analogue Electrical Circuit for Simulation of the Duffing-Holmes Equation
We describe an extremely simple second order analogue electrical circuit for simulating the two-well Duffing-Holmes mathematical oscillator. Numerical results and analogue electrical simulations are illustrated with the snapshots of chaotic waveforms, with the phase portraits (the Lissajous figures)...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2008-04-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14582 |
| _version_ | 1818749147930427392 |
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| author | E. Tamaševičiūtė A. Tamaševičius G. Mykolaitis S. Bumelienė |
| author_facet | E. Tamaševičiūtė A. Tamaševičius G. Mykolaitis S. Bumelienė |
| author_sort | E. Tamaševičiūtė |
| collection | DOAJ |
| description | We describe an extremely simple second order analogue electrical circuit for simulating the two-well Duffing-Holmes mathematical oscillator. Numerical results and analogue electrical simulations are illustrated with the snapshots of chaotic waveforms, with the phase portraits (the Lissajous figures) and with the stroboscopic maps (the Poincar´e sections). |
| first_indexed | 2024-12-18T03:59:10Z |
| format | Article |
| id | doaj.art-3f487e494cde4f388f3e4b2d2968fade |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-18T03:59:10Z |
| publishDate | 2008-04-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-3f487e494cde4f388f3e4b2d2968fade2022-12-21T21:21:43ZengVilnius University PressNonlinear Analysis1392-51132335-89632008-04-0113210.15388/NA.2008.13.2.14582Analogue Electrical Circuit for Simulation of the Duffing-Holmes EquationE. Tamaševičiūtė0A. Tamaševičius1G. Mykolaitis2S. Bumelienė3Vilnius University, LithuaniaSemiconductor Physics Institute, LithuaniaSemiconductor Physics Institute, LithuaniaSemiconductor Physics Institute, LithuaniaWe describe an extremely simple second order analogue electrical circuit for simulating the two-well Duffing-Holmes mathematical oscillator. Numerical results and analogue electrical simulations are illustrated with the snapshots of chaotic waveforms, with the phase portraits (the Lissajous figures) and with the stroboscopic maps (the Poincar´e sections).http://www.journals.vu.lt/nonlinear-analysis/article/view/14582nonlinear dynamicschaoselectrical circuits |
| spellingShingle | E. Tamaševičiūtė A. Tamaševičius G. Mykolaitis S. Bumelienė Analogue Electrical Circuit for Simulation of the Duffing-Holmes Equation Nonlinear Analysis nonlinear dynamics chaos electrical circuits |
| title | Analogue Electrical Circuit for Simulation of the Duffing-Holmes Equation |
| title_full | Analogue Electrical Circuit for Simulation of the Duffing-Holmes Equation |
| title_fullStr | Analogue Electrical Circuit for Simulation of the Duffing-Holmes Equation |
| title_full_unstemmed | Analogue Electrical Circuit for Simulation of the Duffing-Holmes Equation |
| title_short | Analogue Electrical Circuit for Simulation of the Duffing-Holmes Equation |
| title_sort | analogue electrical circuit for simulation of the duffing holmes equation |
| topic | nonlinear dynamics chaos electrical circuits |
| url | http://www.journals.vu.lt/nonlinear-analysis/article/view/14582 |
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