Please use this identifier to cite or link to this item:
http://hdl.handle.net/10261/48130
Share/Export:
SHARE BASE | |
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE | |
Title: | Transition from oscillatory to excitable regime in a system forced at three times its natural frequency |
Authors: | Gallego, Rafael CSIC; Walgraef, Daniel CSIC ORCID; San Miguel, Maxi CSIC ORCID ; Toral, Raúl CSIC ORCID | Issue Date: | 2001 | Abstract: | The effect of a temporal modulation at three times the critical frequency on a Hopf bifurcation is studied in the framework of amplitude equations. We consider a complex Ginzburg-Landau equation with an extra quadratic term, resulting from the strong coupling between the external field and the unstable modes. We show that, by increasing the intensity of the forcing, one passes from an oscillatory regime to an excitable one with three equivalent frequency locked states. In the oscillatory regime, topological defects are one-armed phase spirals, while in the excitable regime they correspond to three-armed excitable amplitude spirals. Analytical results show that the transition between these two regimes occurs at a critical value of the forcing intensity. The transition between phase and amplitude spirals is confirmed by numerical analysis and it might be observed in periodically forced reaction-diffusion systems. | Description: | Texto completo: arXiv:nlin/0104059v2 | URI: | http://hdl.handle.net/10261/48130 |
Appears in Collections: | (IMEDEA) Artículos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
transition_from_oscillatory.pdf | 359,85 kB | Adobe PDF | View/Open |
CORE Recommender
Page view(s)
299
checked on Apr 23, 2024
Download(s)
145
checked on Apr 23, 2024
Google ScholarTM
Check
WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.