267 citations · 492 across the 4 of their papers we have counts for
10 papers
Line-Defect Patterns of Unstable Spiral Waves in Cardiac Tissue
Juan G. Restrepo, Alain Karma
Spiral wave propagation in period-2 excitable media is often accompanied by line-defects, the locus of points with period-1 oscillations. Here we investigate spiral line-defects in…
Approximating the largest eigenvalue of network adjacency matrices
Juan G. Restrepo, Edward Ott, Brian R. Hunt
The largest eigenvalue of the adjacency matrix of a network plays an important role in several network processes (e.g., synchronization of oscillators, percolation on directed netw…
Weighted percolation on directed networks
Juan G. Restrepo, Edward Ott, Brian R. Hunt
We present an analysis of the percolation transition for general node removal strategies valid for locally tree-like directed networks. On the basis of heuristic arguments we predi…
Characterizing the dynamical importance of network nodes and links
J. G. Restrepo, E. Ott, B. R. Hunt
The largest eigenvalue of the adjacency matrix of the networks is a key quantity determining several important dynamical processes on complex networks. Based on this fact, we prese…
The emergence of coherence in complex networks of heterogeneous dynamical systems
Juan G. Restrepo, Edward Ott, Brian R. Hunt
We present a general theory for the onset of coherence in collections of heterogeneous maps interacting via a complex connection network. Our method allows the dynamics of the indi…
Synchronization in large directed networks of coupled phase oscillators
Juan G. Restrepo, Edward Ott, Brian R. Hunt
We extend recent theoretical approximations describing the transition to synchronization in large undirected networks of coupled phase oscillators to the case of directed networks.…