| Name |
Jeroen S Lamb |
| Country |
England |
| Email |
jswlamb@gmail.com |
| Co-Author(s) |
Alex Athorne, Xavier Dupuis, Jeroen Lamb, Martin Rasmussen, Christian Rodrigues |
| Submit Time |
2014-02-27 18:08:12 |
Session |
Special Session 118: Transport barriers in unsteady fluid flows
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| Contents |
| We discuss the dependence of minimal invariant sets of set-valued dynamical systems on parameters. Under mild assumptions which are often satisfied for random dynamical systems with bounded noise, in the context of which minimal invariant sets support stationary measures, we establish the fact that topological bifurcations of minimal invariant sets are discontinuous with respect to the Hausdorff metric, taking the form of lower semi-continuous explosions and instantaneous appearances. We also characterise these transitions by properties of Morse-like decompositions. |
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