A "saddle-node" bifurcation scenario for birth or destruction of a Smale-Williams solenoid
- Formation or destruction of hyperbolic chaotic attractor under parameter variation is considered with an example represented by Smale-Williams solenoid in stroboscopic Poincare map of two alternately excited non-autonomous van der Pol oscillators. The transition occupies a narrow but finite parameter interval and progresses in such way that periodic orbits constituting a "skeleton" of the attractor undergo saddle-node bifurcation events involving partner orbits from the attractor and from a non-attracting invariant set, which forms together with its stable manifold a basin boundary of the attractor.
| Author details: | Olga B. Isaeva, Sergey P. Kuznetsov, Igor R. Sataev |
|---|---|
| DOI: | https://doi.org/10.1063/1.4766590 |
| 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: | 2012 |
| Publication year: | 2012 |
| Release date: | 2017/03/26 |
| Volume: | 22 |
| Issue: | 4 |
| Number of pages: | 7 |
| Funding institution: | RFBR [12-02-00342, 12-02-31342] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
