| Institution: | 1.Department of Physics,Humboldt-Universit?t zu Berlin,Berlin,Germany;2.Bernstein Center for Computational Neuroscience Berlin, Philippstrasse 13,Berlin,Germany;3.Instituto de Física de S?o Carlos, Universidade de S?o Paulo,S?o Carlos,Brazil;4.Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computa??o, Universidade de S?o Paulo,S?o Carlos,Brazil |
| Abstract: | We study the collective dynamics of noise-driven excitable elements, so-called active rotators. Crucially here, the natural frequencies and the individual coupling strengths are drawn from some joint probability distribution. Combining a mean-field treatment with a Gaussian approximation allows us to find examples where the infinite-dimensional system is reduced to a few ordinary differential equations. Our focus lies in the cooperative behavior in a population consisting of two parts, where one is composed of excitable elements, while the other one contains only self-oscillatory units. Surprisingly, excitable behavior in the whole system sets in only if the excitable elements have a smaller coupling strength than the self-oscillating units. In this way positive local correlations between natural frequencies and couplings shape the global behavior of mixed populations of excitable and oscillatory elements. |
