Regensburg 2010 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Posters II

DY 30.26: Poster

Donnerstag, 25. März 2010, 16:00–18:00, Poster C

Detecting synchronization in coupled stochastic ecosystem networks — •Nikolaos Kouvaris^1,2, Astero Provata¹, and Dimitris Kugiumtzis² — ¹National Center for Scientific Research "Demokritos", 15310 Athens, Greece — ²Department of Mathematical, Physical and Computational Science, Faculty of Engineering, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece

The network under investigation is a spatial 2D lattice which serves as a substrate for Lotka - Volterra dynamics with 3rd order nonlinearities. At the mean field level this system exhibits conservative oscillations. Kinetic Monte Carlo simulations demonstrate that the system spontaneously organizes into a number of asynchronous local oscillators, when only nearest neighbor interactions are considered. In contrast, collective behavior such as global oscillations and synchronization can emerge when introducing different interactivity rules (diffusive or reactive) for nearby and distant species. Instantaneous phase difference, synchronization index and mutual information are considered in order to detect synchronization phenomena that emerge for different levels of diffusive and reactive activity in the stochastic network. The quantitative measures of synchronization show that long distance diffusion coupling induces complete synchronization after a well defined transition, while long distance reaction coupling induces smeared phase synchronization.