Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 9: Nonlinear dynamics, synchronization and chaos II

DY 9.7: Talk

Tuesday, March 24, 2009, 12:00–12:15, ZEU 255

Synchronization of coupled demographic oscillators — •Tobias Galla — Theoretical Physics, School of Physics and Astronomy, The University of Manchester, Manchester M139PL, UK

Demographic oscillators are individual-based systems exhibiting temporal cycles sustained by the stochastic dynamics of the microscopic interacting particles. We here use the example of coupled predator-prey oscillators to show that synchronization to a common frequency can occur between two such systems, even if they oscillate at different frequencies in the absence of coupling. The power spectra of the separate and the coupled systems are computed within a van Kampen expansion in the inverse system size, and it is found that they exhibit two peaks at separate frequencies at low coupling, but that only one peak is present at large enough coupling strength. We further make predictions on the time behaviour of the phases of the two oscillators, and their phase difference, and so confirm the frequency entrainment. Theoretical results are verified convincingly in numerical simulations.

[Reference: Tobias Galla, Synchronization of coupled demographic oscillators, arXiv:0811.3689]