A scenario for torus T-2 destruction via a global bifurcation
- We show a scenario of a two-frequeney torus breakdown, in which a global bifurcation occurs due to the collision of a quasi-periodic torus T-2 with saddle points, creating a heteroclinic saddle connection. We analyze the geometry of this torus-saddle collision by showing the local dynamics and the invariant manifolds (global dynamics) of the saddle points. Moreover, we present detailed evidences of a heteroclinic saddle-focus orbit responsible for the type- if intermittency induced by this global bifurcation. We also characterize this transition to chaos by measuring the Lyapunov exponents and the scaling laws.
| Author details: | Tiago Pereira, Murilo da Silva BaptistaORCiD, Marcelo B. Reyes, Ibere Luiz Caldas, José Carlos Sartorelli, Jürgen KurthsORCiDGND |
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| URL: | http://www.sciencedirect.com/science/journal/09600779 |
| DOI: | https://doi.org/10.1016/j.chaos.2007.06.115 |
| ISSN: | 0960-0779 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2009 |
| Publication year: | 2009 |
| Release date: | 2017/03/25 |
| Source: | Chaos, solitons and fractals. - ISSN 0960-0779. - 39 (2009), 5, S. 2198 - 2210 |
| 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 |
