Horseshoe templates with global torsion in a driven laser
| Autor: | D. Derozier, Serge Bielawski, Marc Lefranc, G. Boulant |
|---|---|
| Rok vydání: | 1997 |
| Předmět: | |
| Zdroj: | ResearcherID |
| ISSN: | 1095-3787 1063-651X |
| DOI: | 10.1103/physreve.55.5082 |
| Popis: | dimensional system with many longitudinal modes oscillating simultaneously. Hence, in Sec. II we describe the experimental system and check that topological analysis is applicable by estimating the Lyapunov dimension of the attractors. Then, Sec. III is devoted to the extraction of UPO from experimental data and the computation of their topological invariants. We show there how careful signal processing can greatly help in extracting topological information from noisy time series of finite length and precision. Finally, in Sec. IV, we determine the templates of the different attractors, compare them, and relate them to the values of the modulation frequency. In particular, we show that these templates have a nonzero global torsion, and that this torsion increases by one full turn when the period of modulation increases by 2p/v r . This observation is in close agreement with the theoretical studies of modulated nonlinear oscillators by Gilmore and McCallum @10#. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|