56 citations · 71 across the 4 of their papers we have counts for
4 papers
Competing Populations in Flows with Chaotic Mixing
I. Scheuring, G. Karolyi, Z. Toroczkai +2
We investigate the effects of spatial heterogeneity on the coexistence of competing species in the case when the heterogeneity is dynamically generated by environmental flows with…
Autocatalytic Reactions in Systems with Hyperbolic Mixing: Exact Results for the Active Baker Map
Z. Toroczkai, G. Karolyi, A. Pentek +1
We investigate the effects of hyperbolic hydrodynamical mixing on the reaction kinetics of autocatalytic systems. Exact results are derived for the two dimensional open baker map a…
Chemical or Biological Activity in Open Chaotic Flows
Gy. Karolyi, A. Pentek, Z. Toroczkai +2
We investigate the evolution of particle ensembles in open chaotic hydrodynamical flows. Active processes of the type A+B --> 2B and A+B --> 2C are considered in the limit of weak…
Stabilizing chaotic vortex trajectories: an example of high-dimensional control
A. Pentek, J. B. Kadtke, Z. Toroczkai
A chaos control algorithm is developed to actively stabilize unstable periodic orbits of higher-dimensional systems. The method assumes knowledge of the model equations and a small…