caa a22 4500 463245512 CHVBK 20180405153324.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s00422-007-0144-6 doi (NATIONALLICENCE)springer-10.1007/s00422-007-0144-6 Deterministic analysis of stochastic bifurcations in multi-stable neurodynamical systems [Elektronische Daten] [Gustavo Deco, Daniel Martí] Many perceptual and cognitive processes, like decision-making and bistable perception, involve multistable phenomena under the influence of noise. The role of noise in a multistable neurodynamical system can be formally treated within the Fokker-Planck framework. Nevertheless, because of the underlying nonlinearities, one usually considers numerical simulations of the stochastic differential equations describing the original system, which are time consuming. An alternative analytical approach involves the derivation of reduced deterministic differential equations for the moments of the distribution of the activity of the neuronal populations. The study of the reduced deterministic system avoids time consuming computations associated with the need to average over many trials. We apply this technique to describe multistable phenomena. We show that increasing the noise amplitude results in a shifting of the bifurcation structure of the system. Springer-Verlag, 2007 Deco Gustavo Institució Catalana de Recerca i Estudis Avançats (ICREA), Barcelona, Spain aut Martí Daniel Computational Neuroscience Group, Departament de Tecnologia, Universitat Pompeu Fabra, Passeig de Circumval·lació 8, 08003, Barcelona, Spain aut Biological Cybernetics Springer-Verlag 96/5(2007-05-01), 487-496 0340-1200 96:5<487 2007 96 422 https://doi.org/10.1007/s00422-007-0144-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00422-007-0144-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Deco Gustavo Institució Catalana de Recerca i Estudis Avançats (ICREA), Barcelona, Spain aut NATIONALLICENCE 700 1- Martí Daniel Computational Neuroscience Group, Departament de Tecnologia, Universitat Pompeu Fabra, Passeig de Circumval·lació 8, 08003, Barcelona, Spain aut NATIONALLICENCE 773 0- Biological Cybernetics Springer-Verlag 96/5(2007-05-01), 487-496 0340-1200 96:5<487 2007 96 422 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer