%0 Book Section %1 statphys23_0623 %A Ramaswamy, R. %A Nandi, A. %A Santhosh, G. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K emergence oscillators statphys23 stochastic synchronization topic-10 %T Effective mechanisms for the synchronization of stochastic oscillators %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=623 %X Synchrony---or concerted dynamical behaviour---is ubiquitous in a wide variety of natural systems. Such behaviour is also often robust: systems subject to large stochastic fluctuations and which possess a range of internal time--scales are nevertheless capable of exhibiting sustained correlated dynamics over long times. The nature of synchronization in stochastic oscillatory dynamics is studied. We examine mechanisms by which independent stochastic systems can be microscopically coupled so as to cause the emergence of synchrony of their dynamical variables. Application is made, for illustrative purposes, to model chemical systems and genetic networks that produce oscillations. We show that a suitable coupling of different networks can lead to synchronization, and that both in--phase and anti--phase synchronization can occur when the coupling is time--delayed. We also show that stochastic oscillators coupled through delayed channels can be synchronized over large distances through a relay mechanism. Different coupling motifs are studied in this context, leading to distinct temporal patterns.

@incollection{statphys23_0623, abstract = {Synchrony---or concerted dynamical behaviour---is ubiquitous in a wide variety of natural systems. Such behaviour is also often robust: systems subject to large stochastic fluctuations and which possess a range of internal time--scales are nevertheless capable of exhibiting sustained correlated dynamics over long times. The nature of synchronization in stochastic oscillatory dynamics is studied. We examine mechanisms by which independent stochastic systems can be microscopically coupled so as to cause the emergence of synchrony of their dynamical variables. Application is made, for illustrative purposes, to model chemical systems and genetic networks that produce oscillations. We show that a suitable coupling of different networks can lead to synchronization, and that both in--phase and anti--phase synchronization can occur when the coupling is time--delayed. We also show that stochastic oscillators coupled through delayed channels can be synchronized over large distances through a {\it relay} mechanism. Different coupling motifs are studied in this context, leading to distinct temporal patterns.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Ramaswamy, R. and Nandi, A. and Santhosh, G.}, biburl = {https://www.bibsonomy.org/bibtex/290ea00e2bf22ebf8cd3cee6065f8144c/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {9aa5b7f4c2a26d803bf7cbcb74177afe}, intrahash = {90ea00e2bf22ebf8cd3cee6065f8144c}, keywords = {emergence oscillators statphys23 stochastic synchronization topic-10}, month = {9-13 July}, timestamp = {2007-06-20T10:16:25.000+0200}, title = {Effective mechanisms for the synchronization of stochastic oscillators}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=623}, year = 2007 }