Dynamical properties of the Fermi-Ulam model with external perturbation of Van der Pool type
In this work we consider the dynamics of a classical particle of mass m confined within an one-dimensional time dependent billiard. We assume that the time perturbation of the boundary is given by a nonlinear Van der Pool oscillator. The particle is confined to move between the two rigid walls, one...
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| Language: | Portuguese |
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Universidade Estadual de Campinas
2020
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| Online Access: | https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3256 |
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| author | Botari , Tiago |
| author_facet | Botari , Tiago |
| author_sort | Botari , Tiago |
| collection | Portal de Eventos Científicos da UNICAMP |
| container_reference | Physicae Proceedings; Vol. 1 No. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 |
| description | In this work we consider the dynamics of a classical particle of mass m confined within an one-dimensional time dependent billiard. We assume that the time perturbation of the boundary is given by a nonlinear Van der Pool oscillator. The particle is confined to move between the two rigid walls, one of them fixed at a distance L from the first that fluctuates according to the Van der Pol oscillator. We construct the phase space and explore the dynamic properties of the system. The Van der Pol oscillator is a modification of the harmonic oscillator where a dissipative and nonlinear term is introduced. The equation describing the oscillator is M d^2x/dt^2 + b(x^2 ? x0^2 )dx/dt + kx = 0 where b is a dissipative term, M is the mass, and k is the Hook constant. |
| first_indexed | 2025-10-08T13:49:20Z |
| format | Online |
| id | ojs-article-3256 |
| institution | Universidade Estadual de Campinas |
| issn | 2236-7535 |
| language | por |
| last_indexed | 2025-10-08T13:49:20Z |
| publishDate | 2020 |
| publisher | Universidade Estadual de Campinas |
| record_format | ojs |
| spelling | ojs-article-32562020-05-15T15:30:07Z Dynamical properties of the Fermi-Ulam model with external perturbation of Van der Pool type Botari , Tiago Nonlinear oscillator Harmonic oscillator In this work we consider the dynamics of a classical particle of mass m confined within an one-dimensional time dependent billiard. We assume that the time perturbation of the boundary is given by a nonlinear Van der Pool oscillator. The particle is confined to move between the two rigid walls, one of them fixed at a distance L from the first that fluctuates according to the Van der Pol oscillator. We construct the phase space and explore the dynamic properties of the system. The Van der Pol oscillator is a modification of the harmonic oscillator where a dissipative and nonlinear term is introduced. The equation describing the oscillator is M d^2x/dt^2 + b(x^2 ? x0^2 )dx/dt + kx = 0 where b is a dissipative term, M is the mass, and k is the Hook constant. Universidade Estadual de Campinas 2020-05-15 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3256 Physicae Proceedings; Vol. 1 No. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 Physicae Proceedings; v. 1 n. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 2236-7535 por https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3256/3192 Copyright (c) 2012 Physicae |
| spellingShingle | Botari , Tiago Nonlinear oscillator Harmonic oscillator Dynamical properties of the Fermi-Ulam model with external perturbation of Van der Pool type |
| title | Dynamical properties of the Fermi-Ulam model with external perturbation of Van der Pool type |
| title_full | Dynamical properties of the Fermi-Ulam model with external perturbation of Van der Pool type |
| title_fullStr | Dynamical properties of the Fermi-Ulam model with external perturbation of Van der Pool type |
| title_full_unstemmed | Dynamical properties of the Fermi-Ulam model with external perturbation of Van der Pool type |
| title_short | Dynamical properties of the Fermi-Ulam model with external perturbation of Van der Pool type |
| title_sort | dynamical properties of the fermi-ulam model with external perturbation of van der pool type |
| topic | Nonlinear oscillator Harmonic oscillator |
| url | https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3256 |
| work_keys_str_mv | AT botaritiago dynamicalpropertiesofthefermiulammodelwithexternalperturbationofvanderpooltype |
