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E. S. Lobanova, E. E. Shnol and F. I. Ataullakhanov, “Complex Dynamics of the Formation of Spatially Localized Standing Structures in the Vicinity of Saddle-Node Bifurcations of Waves in the Reaction-Diffusion Model of Blood Clotting,” Physical Review E, Vol. 70, No. 3, 2004, pp. 032903-032906. doi:10.1103/PhysRevE.70.032903

has been cited by the following article:

• TITLE: Noise-Dependent Stability of the Synchronized State in a Coupled System of Active Rotators

  AUTHORS: Sebastian F. Brandt, Axel Pelster, Ralf Wessel

  KEYWORDS: Stochastic Analysis Methods, Synchronization, Coupled Oscillators

  JOURNAL NAME: World Journal of Condensed Matter Physics, Vol.1 No.3, August 22, 2011

  ABSTRACT: We consider a Kuramoto model for the dynamics of an excitable system consisting of two coupled active rotators. Depending on both the coupling strength and the noise, the two rotators can be in a synchronized or desynchronized state. The synchronized state of the system is most stable for intermediate noise intensity in the sense that the coupling strength required to desynchronize the system is maximal at this noise level. We evaluate the phase boundary between synchronized and desynchronized states through numerical and analytical calculations.