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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 38 (1980), S. 363-373 
    ISSN: 1432-1106
    Keywords: Passive movements ; Cerebellar cortex ; Climbing fiber input ; Purkinje cells
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Discharges of Purkinje cells (PCs) with simple (SS) and complex spikes (CS) in the c1zone of lobule Vc of the anterior lobe of the cerebellar cortex were analyzed in the decerebrate cat during a passive movement of the cat forepaw. The CS of the PC responded differentially and/or proportionally to the position of the extremity, amplitude of the movement, velocity and acceleration. Inphase and outphase responses of the climbing fiber (CF) system to sinusoidal movements could depend on the position of the extremity within the operational range. From these results we deduce that peripheral events can be signalled by the CF system. The possible function of the interaction between the two inputs at the PC level is discussed.
    Type of Medium: Electronic Resource
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