Autoresonance in a dissipative system
- We study the autoresonant solution of Duffing's equation in the presence of dissipation. This solution is proved to be an attracting set. We evaluate the maximal amplitude of the autoresonant solution and the time of transition from autoresonant growth of the amplitude to the mode of fast oscillations. Analytical results are illustrated by numerical simulations.
| Author details: | Sergei Glebov, Oleg Kiselev, Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| URL: | http://iopscience.iop.org/1751-8121/ |
| DOI: | https://doi.org/10.1088/1751-8113/43/21/215203 |
| ISSN: | 1751-8113 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/25 |
| Source: | Journal of physics A. - ISSN 1751-8113. - 43 (2010), 21, Art. 215203 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
