Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators
A two-degree-of-freedom shape memory oscillator derived using polynomial constitutive model is investigated. Periodic, quasiperiodic, chaotic, and hyperchaotic oscillations are shown by the shape memory alloy based oscillator for selected values of the operating temperatures and excitation parameter...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/8365845 |
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| _version_ | 1832561316827496448 |
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| author | Karthikeyan Rajagopal Anitha Karthikeyan Prakash Duraisamy Riessom Weldegiorgis |
| author_facet | Karthikeyan Rajagopal Anitha Karthikeyan Prakash Duraisamy Riessom Weldegiorgis |
| author_sort | Karthikeyan Rajagopal |
| collection | DOAJ |
| description | A two-degree-of-freedom shape memory oscillator derived using polynomial constitutive model is investigated. Periodic, quasiperiodic, chaotic, and hyperchaotic oscillations are shown by the shape memory alloy based oscillator for selected values of the operating temperatures and excitation parameters. Bifurcation plots are derived to investigate the system behavior with change in parameters. A fractional order model of the shape memory oscillator is presented and dynamical behavior of the system with fractional orders and parameters are investigated. |
| format | Article |
| id | doaj-art-c50f922bea5e48179029974527b2830a |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c50f922bea5e48179029974527b2830a2025-02-03T01:25:20ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/83658458365845Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy OscillatorsKarthikeyan Rajagopal0Anitha Karthikeyan1Prakash Duraisamy2Riessom Weldegiorgis3Center for Nonlinear Dynamics, Department of Electrical and Communication Engineering, The PNG University of Technology, Lae, Papua New GuineaCenter for Nonlinear Dynamics, Department of Electrical and Communication Engineering, The PNG University of Technology, Lae, Papua New GuineaCenter for Nonlinear Dynamics, Defence University, Bishoftu, EthiopiaCenter for Nonlinear Dynamics, Defence University, Bishoftu, EthiopiaA two-degree-of-freedom shape memory oscillator derived using polynomial constitutive model is investigated. Periodic, quasiperiodic, chaotic, and hyperchaotic oscillations are shown by the shape memory alloy based oscillator for selected values of the operating temperatures and excitation parameters. Bifurcation plots are derived to investigate the system behavior with change in parameters. A fractional order model of the shape memory oscillator is presented and dynamical behavior of the system with fractional orders and parameters are investigated.http://dx.doi.org/10.1155/2018/8365845 |
| spellingShingle | Karthikeyan Rajagopal Anitha Karthikeyan Prakash Duraisamy Riessom Weldegiorgis Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators Complexity |
| title | Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators |
| title_full | Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators |
| title_fullStr | Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators |
| title_full_unstemmed | Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators |
| title_short | Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators |
| title_sort | bifurcation and chaos in integer and fractional order two degree of freedom shape memory alloy oscillators |
| url | http://dx.doi.org/10.1155/2018/8365845 |
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