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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 79 (1995), S. 669-682 
    ISSN: 1572-9613
    Keywords: Escape probabilities ; mean first passage times ; dichotomous noise
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Previous results on first-passage-time statistics for systems driven by dichotomous noise are extended in order to cover the escape from regions including fixed points of the stochastic flow. For such regions a treatment splitting the escape through one or the other boundary is required. The obtained escape probabilities and mean exit times are relevant for the complete characterization of stochastic systems undergoing bifurcations.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 79 (1995), S. 683-699 
    ISSN: 1572-9613
    Keywords: Escape probabilities ; mean first passage times ; dichotomous noise ; stochastic bifurcations ; level of extinction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We use the general results for the escape probabilities and mean exit times obtained in an accompanying paper to analyze in detail a nonlinear system presenting an imperfect (subcritical) pitchfork bifurcation. We redraw the bifurcation diagram to show the effect of the noise. To avoid spurious results we introduce the concept ofextinction level as the minimum possible value for the system, and discuss its effect on the bifurcation diagram.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Experimental brain research 42 (1981), S. 249-259 
    ISSN: 1432-1106
    Keywords: Passive movement ; Cerebellar cortex ; Climbing fiber and mossy fiber system ; Granule cells ; Purkinje cells
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary In the decerebrate cat discharges of Purkinje cells with simple and complex spikes as well as granule cell discharges in the c1-zone of lobules Va, b and c of the cerebellar anterior lobe were analyzed during a passive movement of the cat's forepaw. Penetrations were made 50 μm apart along the mediolateral and parasagittal directions, the depth never exceeding 500 μm. The response of the Purkinje cells to the climbing fiber input was surprisingly constant, while simple spike responses of the same cells showed a great variability to the same input. The variability between granule cell discharges recorded at a 50 μm distance from each other was similar to that of the simple spikes of the Purkinje cell. It is assumed that because of a patchy distribution of excited granule cells, two neighbouring Purkinje cells may receive a different information via their parallel fiber inputs. This difference is considered to be responsible for the great variability of their responses to mossy fiber inputs.
    Type of Medium: Electronic Resource
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