Forced nonlinear resonance in a system of coupled oscillators
- We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time t similar to s(-2) one component of the system is described for the most part by the inhomogeneous Mathieu equation while the other component represents pulsation of large amplitude. A Hamiltonian system is obtained which describes for the most part the behavior of the envelope in a special case. The analytic results agree with numerical simulations.
Author details: | Sergei Glebov, Oleg Kiselev, Nikolai Nikolaevich TarkhanovORCiDGND |
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DOI: | https://doi.org/10.1063/1.3578047 |
ISSN: | 1054-1500 |
Title of parent work (English): | Chaos : an interdisciplinary journal of nonlinear science |
Publisher: | American Institute of Physics |
Place of publishing: | Melville |
Publication type: | Article |
Language: | English |
Year of first publication: | 2011 |
Publication year: | 2011 |
Release date: | 2017/03/26 |
Volume: | 21 |
Issue: | 2 |
Number of pages: | 7 |
Funding institution: | RFBR [09-01-92436-KE-a]; DFG [TA 289/4-1]; DAAD; Ministry of Education and Science of the RF; [2215.2008.1] |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |