Publications:
Juan G. Restrepo and Alain Karma, Line-Defect Patterns of Unstable Spiral Waves in Cardiac Tissue, submitted, arXiv:0806.3489v1.
Juan G. Restrepo, James N. Weiss, and Alain Karma, Calsequestrin Mediated Mechanism for Cellular Calcium Transient Alternans, Biophysical Journal 85, 3767 (2008). PDF
Juan G. Restrepo, Edward Ott, and Brian R. Hunt, Weighted percolation on directed networks, Physical Review Letters 100, 058701 (2008). PDF
Mahajan A., Shiferaw Y., Sato D., Baher A., Olcese R., Xie L.H., Yang M. J., Chen P. S., Restrepo J. G., Karma A., Garfinkel A., Qu Z., Weiss J. N., A rabbit ventricular action potential model replicating cardiac dynamics at rapid heart rates, Biophysical Journal 94 392 (2008). PDF
Juan G. Restrepo, Ed Ott, and Brian R. Hunt, Approximating the largest eigenvalue of network adjacency matrices, Physical review E 76 (2007). PDF
Juan G. Restrepo, Ed Ott, and Brian R. Hunt, Emergence of synchronization in complex networks of interacting dynamical systems, Physica D 224, 114 (2006). PDF
Juan G. Restrepo, Ed Ott, and Brian R. Hunt, Characterizing the dynamical importance of network nodes and links, Physical Review Letters 97, 094102 (2006). PDF
Juan Restrepo, Brian R. Hunt, and Edward Ott, Scaling of branching in arterial and bronchial trees, Physical Review Letters 96, 128101 (2006). PDF
Juan G. Restrepo, Ed Ott, and Brian R. Hunt, The emergence of coherence in complex networks of heterogeneous dynamical systems, Physical Review Letters 96, 254103 (2006). PDF
Juan G. Restrepo, Ed Ott, and Brian R. Hunt, Synchronization in large directed networks of coupled phase oscillators, Chaos 16, 015107 (2006). PDF
Juan Restrepo, Edward Ott, and Brian R. Hunt, The onset of synchronization in large networks of coupled oscillators, Physical Review E 71, 036151 (2005). PDF
Juan Gabriel Restrepo, Ed Ott, and Brian R. Hunt, Desynchronization waves and localized instabilities in oscillator arrays, Physical Review Letters 93, 114101 (2004). PDF
J. G. Restrepo, E. Ott, and B. R. Hunt, Spatial patterns of desynchronization bursts in networks, Physical Review E 69, 066215 (2004). PDF
Jupiter Bagaipo and Juan G. Restrepo, Parameter mismatch estimation using large deviations from synchronization, nlin.CD/0412049.
Ph. D. Thesis, Synchronization in networks of coupled oscillators, University of Maryland, College Park, 2005.