Banerjee, Soumitro ; Ing, James ; Pavlovskaia, Ekaterina ; Wiercigroch, Marian ; Reddy, Ramesh K. (2009) Invisible grazings and dangerous bifurcations in impacting systems: the problem of narrow-band chaos Physical Review E, 79 (3). 037201_1-037201_4. ISSN 1063-651X
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Official URL: http://pre.aps.org/abstract/PRE/v79/i3/e037201
Related URL: http://dx.doi.org/10.1103/PhysRevE.79.037201
Abstract
We discovered a narrow band of chaos close to the grazing condition for a simple soft impact oscillator. The phenomenon was observed experimentally for a range of system parameters. Through numerical stability analysis, we argue that this abrupt onset to chaos is caused by a dangerous bifurcation in which two unstable period-3 orbits, created at "invisible" grazings, take part.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 21395 |
| Deposited On: | 20 Nov 2010 12:58 |
| Last Modified: | 12 Jan 2011 04:35 |
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