publication . Preprint . 2007

Detecting phase synchronization by localized maps: Application to neural networks

Pereira, T.; Baptista, M. S.; Kurths, J.;
Open Access English
  • Published: 22 Jun 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.
Subjects
arxiv: Quantitative Biology::Neurons and Cognition
free text keywords: Condensed Matter - Statistical Mechanics, Condensed Matter - Other Condensed Matter
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[1] V.E. Bondarenko, Complexity 11 (2005) 39 .

[2] R. Borisyuk, G Borisyuk, and Y. Kazanovich, Behavior and Brain Sc. 21 (1998) 833 .

[3] H. Haken, Physica D 205 (2005) 1.

[4] T.C. Chao and C.M. Chen, J. Comput. Neuronsci. 19 (2005) 311.

[5] P. Tass, M.G. Rosenblum, J.Weule, et al., Phys. Rev. Lett. 81 (1998) 3291.

[6] F. Mormann, T. Kreuz, R. G. Andrzejak, P. David, K. Lehnertz, and C. E. Elger, Epilepsy Research 53 (2003) 173 .

[7] L. M. Pecora and T. Carrol, Phys. Rev. Lett. 80 (1998) 2109.

[8] A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences, (Cambridge University Press, 2001).

[9] M.S. Baptista and J. Kurths, Phys. Rev. E 72 (2005) 045202R.

[10] J. Fell, P. Klaver. C. E. Elger, and G. Fernandez, Rev. in the Neurosciences 13 (2002) 299.

[11] M.S. Baptista, T. Pereira, J.C. Sartorelli, et al., Physica D 212 (2005) 216.

[12] C. M. Ticos, E. Rosa, Jr., W. B. Pardo, J. A. Walkenstein, and M. Monti, Phys. Rev. Lett. 85 (2000) 2929.

[13] R.D. Pinto, et al. Phys. Rev. E 62 (2000) 2644.

[14] A. Destexhe, Z.F. Mainen, and T.J. Sejnowski, Neural Comput. 6 (1994) 14; A.A. Sharp, F.K. Skinner, and E. Narder, J. Neurophysiol. 76 (1996) 867.

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