The coupled dynamics of two particles with different limit sets

Colm Mulhern, Dirk Hennig, Andrew Burbanks

Research output: Contribution to journalArticlepeer-review


We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven individually in such a way that in the uncoupled regime, one particle evolves on a chaotic attractor, while the other evolves on regular periodic attractors. Notably, only the latter supports coherent particle transport. The influence of the coupling between the particles is explored, and in particular how it relates to the emergence of a directed current. We show that increasing the (weak) coupling strength subdues the current in a process, which in phase-space, is related to a merging crisis of attractors forming one large chaotic attractor in phase-space. Further, we demonstrate that complete current suppression coincides with a chaos-hyperchaos transition.
Original languageEnglish
Pages (from-to)185-190
JournalThe European Physical Journal B
Issue number4
Early online date1 Apr 2013
Publication statusPublished - Apr 2013


  • Statistical and Nonlinear Physics


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