Detecting phase synchronization by localized maps: Application to neural networksT. 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
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.
05.45.Xt - Synchronization; coupled oscillators.
05.45.-a - Nonlinear dynamics and chaos.
84.35.+i - Neural networks.
© Europhysics Letters Association 2007