Upper bounds in phase synchronous weak coherent chaotic attractors
- An approach is presented for coupled chaotic systems with weak coherent motion, from which we estimate the upper bound value for the absolute phase difference in phase synchronous states. This approach shows that synchronicity in phase implies synchronicity in the time of events, a characteristic explored to derive an equation to detect phase synchronization, based on the absolute difference between the time of these events. We demonstrate the potential use of this approach for the phase coherent and the funnel attractor of the Rossler system, as well as for the spiking/bursting Rulkov map.
| Author details: | Murilo da Silva BaptistaORCiD, Tiago Pereira, Jürgen KurthsORCiDGND |
|---|---|
| URL: | http://www.sciencedirect.com/science/journal/01672789 |
| DOI: | https://doi.org/10.1016/j.physd.2006.02.007 |
| ISSN: | 0167-2789 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2006 |
| Publication year: | 2006 |
| Release date: | 2017/03/24 |
| Source: | Physica / D. - ISSN 0167-2789. - 216 (2006), 2, S. 260 - 268 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
| Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |
