Coman, C.D. (2003) Dissipative effects in piecewise linear dynamics. Discrete and Continuous Dynamical Systems: Series B, 3(2), pp. 163-177. (doi: 10.3934/dcdsb.2003.3.163)
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Publisher's URL: http://dx.doi.org/10.3934/dcdsb.2003.3.163
Abstract
This work revisits a couple of well-known piecewise linear oscillators pointing out several unnoticed properties. In particular, for one of these oscillators we study under what conditions bounded motions are possible and investigate the effect of viscous damping on its trajectories. The article complements a relatively recent paper by Capecchi [10] and presents a non-trivial counterexample to the wide-spread belief according to which chaos is ubiquitous in piecewise linear systems.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Coman, Dr Ciprian |
| Authors: | Coman, C.D. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Discrete and Continuous Dynamical Systems: Series B |
| ISSN: | 1531-3492 |
| ISSN (Online): | 1553-524X |
| Published Online: | 01 February 2003 |
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