Optimal phase description of chaotic oscillators
- We introduce an optimal phase description of chaotic oscillations by generalizing the concept of isochrones. On chaotic attractors possessing a general phase description, we define the optimal isophases as Poincare surfaces showing return times as constant as possible. The dynamics of the resultant optimal phase is maximally decoupled from the amplitude dynamics and provides a proper description of the phase response of chaotic oscillations. The method is illustrated with the Rossler and Lorenz systems.
| Author details: | Justus T. C. Schwabedal, Arkadij PikovskijORCiDGND, Björn Kralemann, Michael RosenblumORCiDGND |
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| DOI: | https://doi.org/10.1103/PhysRevE.85.026216 |
| ISSN: | 1539-3755 |
| Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2012 |
| Publication year: | 2012 |
| Release date: | 2017/03/26 |
| Volume: | 85 |
| Issue: | 2 |
| Number of pages: | 9 |
| Funding institution: | DFG [555]; Merz-Stiftung, Berlin |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
