Noise-memory induced excitability and pattern formation in oscillatory neural models

Erik Glatt, Hauke Busch, Friedemann Kaiser, and Alexei Zaikin
Phys. Rev. E 73, 026216 – Published 22 February 2006

Abstract

We report a noise-memory induced phase transition in an array of oscillatory neural systems, which leads to the suppression of synchronous oscillations and restoration of excitable dynamics. This phenomenon is caused by the systematic contributions of temporally correlated parametric noise, i.e., possessing a memory, which stabilizes a deterministically unstable fixed point. Changing the noise correlation time, a reentrant phase transition to noise-induced excitability is observed in a globally coupled array. Since noise-induced excitability implies the restoration of the ability to transmit information, associated spatiotemporal patterns are observed afterwards. Furthermore, an analytic approach to predict the systematic effects of exponentially correlated noise is presented and its results are compared with the simulations.

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  • Received 19 April 2005

DOI:https://doi.org/10.1103/PhysRevE.73.026216

©2006 American Physical Society

Authors & Affiliations

Erik Glatt, Hauke Busch*, and Friedemann Kaiser

  • Institute of Applied Physics, Darmstadt University of Technology, 64289 Darmstadt, Germany

Alexei Zaikin

  • Institut für Physik, Potsdam Universität, Am Neuen Palais 10, D14469 Potsdam, Germany

  • *Permanent address: Division Theoretical Bioinformatics, German Cancer Research Center (DKFZ), 69120 Heidelberg, Germany.

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Vol. 73, Iss. 2 — February 2006

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