| Title: | Parameter space for a dissipative Fermi-Ulam model |
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| Authors: | ID Oliveira, Diego F. M. (Author)
ID Leonel, Edson D. (Author) |
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| Files: |  New_Journal_of_Physics_2011_Oliveira,_Leonel_Parameter_space_for_a_dissipative_Fermi–Ulam_model.pdf (2,84 MB)
MD5: 2DD21626E114FF395889B04890F1F0BF
 http://stacks.iop.org/1367-2630/13/i=12/a=123012?key=crossref.34d43512f4b64d9f54b241987200f21a
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UM - University of Maribor
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| Abstract: | The parameter space for a dissipative bouncing ball model under the effect of inelastic collisions is studied. The system is described using a two-dimensional nonlinear area-contracting map. The introduction of dissipation destroys the mixed structure of phase space of the non-dissipative case, leading to the existence of a chaotic attractor and attracting fixed points, which may coexist for certain ranges of control parameters. We have computed the average velocity for the parameter space and made a connection with the parameter space based on the maximum Lyapunov exponent. For both cases, we found an infinite family of self-similar structures of shrimp shape, which correspond to the periodic attractors embedded in a large region that corresponds to the chaotic motion. |
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| Keywords: | parameter space, Fermi-Ulam model, inelastic collision |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2011 |
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| Number of pages: | str. 1-14 |
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| Numbering: | Letn. 13 |
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| PID: | 20.500.12556/DKUM-66557  |
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| ISSN: | 1367-2630 |
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| ISSN on article: | 1367-2630 |
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| DOI: | 10.1088/1367-2630/13/12/123012 |
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| NUK URN: | URN:SI:UM:DK:WFVKJXPX |
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| Publication date in DKUM: | 03.07.2017 |
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| Views: | 2052 |
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| Downloads: | 414 |
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| Metadata: |    |
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| Categories: | Misc.
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