Detecting phase synchronization by localized maps: Application to neural networks

Details Detecting phase synchronization by localized maps: Application to neural networks Detecting phase synchronization by localized maps: Application to neural networks

2007-06-22

arxiv.org/abs/0706.3317v1

Europhs. Lett. 77, 40006 (2007)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1209/0295-5075/77/40006

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.

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