title: Noise-memory induced excitability and pattern formation in oscillatory neural models.
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.
authors.affiliation: Institute of Applied Physics, Darmstadt University of Technology, 64289 Darmstadt, Germany.
authors.forename: Erik
authors.initials: E
authors.lastname: Glatt
authors.forename: Hauke
authors.initials: H
authors.lastname: Busch
authors.forename: Friedemann
authors.initials: F
authors.lastname: Kaiser
authors.forename: Alexei
authors.initials: A
authors.lastname: Zaikin
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D001921:Brain / Q000502:physiology*; D003198:Computer Simulation; D019706:Excitatory Postsynaptic Potentials / Q000502:physiology; D006801:Humans; D008568:Memory / Q000502:physiology*; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009474:Neurons / Q000502:physiology; D010363:Pattern Recognition, Automated / Q000379:methods*; D013269:Stochastic Processes; D009435:Synaptic Transmission / Q000502:physiology