Awakening dynamics via passive coupling and synchronization mechanism in oscillatory cellular neurtal/nonlinear networks

Szatmári, István and Chua, Leon. O. (2008) Awakening dynamics via passive coupling and synchronization mechanism in oscillatory cellular neurtal/nonlinear networks. International Journal of Circuit Theory and Applications, 36 (5-6). pp. 525-553.

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Abstract

We have studied synchronization mechanism in locally coupled nonlinear oscillators. Here, synchronization takes place by passive coupling based on a reaction-diffusion process. We will compare this mechanism with basic synchronization techniques, showing their similarities and specific properties. In addition to synchronization, passive and local coupling can also awaken non-oscillating cell circuits and trigger oscillation, provided that cells are locally active. This result resembles Turing's and Smale's works showing that locally communicating simple elements can produce very different patterns even if separate elements do not show any activity. This property will be demonstrated for two second-order cells and also for a large ensemble of oscillatory cells. In latter case, the network of oscillatory cells exhibits very sophisticated spatio-temporal waves, e.g. spiral waves.

Item Type: ISI Article
Uncontrolled Keywords: synchronization, oscillation, nonlinear dynamics, passive coupling, local activity
Subjects: Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions: Cellular Sensory and Optical Wave Computing Laboratory
Depositing User: Eszter Nagy
Date Deposited: 11 Dec 2012 15:29
Last Modified: 11 Dec 2012 15:29
URI: http://eprints.sztaki.hu/id/eprint/4863

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