Hysteretic dynamics inducing coexistence of attractors in a thin magnetostrictive actuator system with quintic nonlinearity
| Autor: | Sylvain Zango Nkeutia, Victor Kamdoum Tamba, Pierre Kisito Talla |
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| Rok vydání: | 2020 |
| Předmět: |
010302 applied physics
Physics Phase portrait Mathematical analysis Equations of motion 02 engineering and technology Lyapunov exponent 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Electronic Optical and Magnetic Materials symbols.namesake Nonlinear system 0103 physical sciences Attractor symbols 0210 nano-technology Bifurcation Multistability Electronic circuit |
| Zdroj: | Journal of Magnetism and Magnetic Materials. 507:166858 |
| ISSN: | 0304-8853 |
| DOI: | 10.1016/j.jmmm.2020.166858 |
| Popis: | This paper introduces and investigates the dynamics of a thin magnetostrictive actuator with quintic nonlinearity. The energy balance method is used to carry out the motion equation of the system. The analytical solutions and amplitude responses of the system are exanimated using the multiple time scale method. The dynamical behavior of the system is explored with the help of common nonlinear tools such as bifurcation diagrams with Lyapunov exponents, time series plots, phase portraits and basin of attraction. The bifurcation diagrams reveal that the system under study exhibits complicated dynamics including crisis route to chaos, multistability and antimonotonicity. To validate the theoretical and numerical analyses, an electronic circuit capable to describe the dynamics of the system is designed and implemented in PSpice software. A very good agreement is observed between PSpice based circuit simulations and theoretical/numerical results. |
| Databáze: | OpenAIRE |
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