Abstract
In work we numerically identify three scenarios for the two-frequency torus breakdown to chaos, using the driven double scroll circuit, with varying driving parameters. Two of these scenarios follow the Curry-Yorke route to chaos. For one scenario, we identify the transition to chaos through the onset of a heteroclinic tangle and its heteroclinic points. In the other scenario, chaos appears via period-doubling bifurcations. The third scenario is through the type-II intermittency for which a quasiperiodic torus grows in size, breaks by touching external saddle points, and forms a heteroclinic saddle connection. These dynamic scenarios have distinct structure evolutions: for the Curry-Yorke route, chaos appears softly and alternates with phase locking, while, for the type-II intermittency, chaos appears abruptly and is pn:served for a large range of the varying driving parameter. [S1063-651X(98)05210-6].
| Original language | English |
|---|---|
| Pages (from-to) | 4413-4420 |
| Number of pages | 8 |
| Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 58 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Oct 1998 |
Keywords
- quasi-periodicity
- chaos
- bifurcations
- transition
- turbulence
- systems
- onset