Issue
EPL
Volume 77, Number 4, February 2007
Article Number 40006
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/77/40006
Published online 09 February 2007
EPL, 77 (2007) 40006
DOI: 10.1209/0295-5075/77/40006

Detecting phase synchronization by localized maps: Application to neural networks

T. Pereira, M. S. Baptista and J. Kurths

Universität Potsdam, Institut für Physik Am Neuen Palais 10 - D-14469 Potsdam, Germany


received 21 September 2006; accepted in final form 20 December 2006; published February 2007
published online 9 February 2007

Abstract
We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether this set of points is localized. In particular, we show that this approach is fruitful to analyze the onset of phase synchronization in chaotic attractors whose phases are not well defined, as well as, in networks of non-identical spiking/bursting neurons connected by chemical synapses.

PACS
05.45.Xt - Synchronization; coupled oscillators.
05.45.-a - Nonlinear dynamics and chaos.
84.35.+i - Neural networks.

© Europhysics Letters Association 2007