97 citations · 106 across the 3 of their papers we have counts for
3 papers
nlin.CD2006★ 2 cited
Computing fractal dimension in supertransient systems directly, fast and reliable
Romulus Breban, Helena E. Nusse
Chaotic transients occur in many experiments including those in fluids, in simulations of the plane Couette flow, and in coupled map lattices and they are a common phenomena in dyn…
nlin.CD2003★ 7 cited
Scaling Properties of Saddle-Node Bifurcations on Fractal Basin Boundaries
Romulus Breban, Helena E. Nusse, Edward Ott
We analyze situations where a saddle-node bifurcation occurs on a fractal basin boundary. Specifically, we are interested in what happens when a system parameter is slowly swept in…
chao-dyn1999★ 97 cited
Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth Systems
Mitrajit Dutta, Helena E. Nusse, Edward Ott +1
There exists a variety of physically interesting situations described by continuous maps that are nondifferentiable on some surface in phase space. Such systems exhibit novel types…