Theory of collective firing induced by noise or diversity in excitable media

@article{citeulike:1118915, abstract = {Large variety of physical, chemical, and biological systems show excitable behavior, characterized by a nonlinear response under external perturbations: only perturbations exceeding a threshold induce a full system response (firing). It has been reported that in coupled excitable identical systems noise may induce the simultaneous firing of a macroscopic fraction of units. However, a comprehensive understanding of the role of noise and that of natural diversity present in realistic systems is still lacking. Here we develop a theory for the emergence of collective firings in nonidentical excitable systems subject to noise. Three different dynamical regimes arise: subthreshold motion, where all elements remain confined near the fixed point; coherent pulsations, where a macroscopic fraction fire simultaneously; and incoherent pulsations, where units fire in a disordered fashion. We also show that the mechanism for collective firing is generic: it arises from degradation of entrainment originated either by noise or by diversity.}, author = {Tessone, C. J. and Scire, A. and Toral, R. and Colet, P. }, citeulike-article-id = {1118915}, doi = {10.1103/PhysRevE.75.016203}, journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}, keywords = {diversity, firing, noise, threshold}, number = {1}, posted-at = {2008-04-24 20:16:28}, priority = {2}, publisher = {APS}, title = {Theory of collective firing induced by noise or diversity in excitable media}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PLEEE8000075000001016203000001\&idtype=cvips\&gifs=yes}, volume = {75}, year = {2007} }

TY - JOUR ID - citeulike:1118915 L3 - citeulike-article-id:1118915 TI - Theory of collective firing induced by noise or diversity in excitable media JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) VL - 75 IS - 1 PB - APS N2 - Large variety of physical, chemical, and biological systems show excitable behavior, characterized by a nonlinear response under external perturbations: only perturbations exceeding a threshold induce a full system response (firing). It has been reported that in coupled excitable identical systems noise may induce the simultaneous firing of a macroscopic fraction of units. However, a comprehensive understanding of the role of noise and that of natural diversity present in realistic systems is still lacking. Here we develop a theory for the emergence of collective firings in nonidentical excitable systems subject to noise. Three different dynamical regimes arise: subthreshold motion, where all elements remain confined near the fixed point; coherent pulsations, where a macroscopic fraction fire simultaneously; and incoherent pulsations, where units fire in a disordered fashion. We also show that the mechanism for collective firing is generic: it arises from degradation of entrainment originated either by noise or by diversity. KW - diversity KW - firing KW - noise KW - threshold AU - Tessone, CJ AU - Scire, A AU - Toral, R AU - Colet, P PY - 2007/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000075000001016203000001&idtype=cvips&gifs=yes ER -