منابع مشابه
Negative velocity fluctuations of pulled reaction fronts.
The position of a reaction front, propagating into an unstable state, fluctuates because of the shot noise. What is the probability that the fluctuating front moves considerably slower than its deterministic counterpart? Can the noise arrest the front motion for some time, or even make it move in the wrong direction? We present a WKB theory that assumes many particles in the front region and an...
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Steady, nonpropagating, fronts in reaction diffusion systems usually exist only for special sets of control parameters. When varying one control parameter, the front velocity may become zero only at isolated values (where the Maxwell condition is satisfied, for potential systems). The experimental observation of fronts with a zero velocity over a finite interval of parameters, e.g., in catalyti...
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A full velocity difference model for traffic flow, including driver’s reaction time delay is considered. The uniform flow and traffic jams are interpreted through stability and bifurcation analysis. Specifically, the uniform flow is represented by the equilibrium of the model. Linear stability reveals that when the equilibrium loses its stability, local bifurcation turn up through Hopf bifurcat...
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We investigate an optimal velocity model which includes the reflex time of drivers. After an analytical study of the stability and local bifurcations of the steady-state solution, we apply numerical continuation techniques to investigate the global behavior of the system. Specifically, we find branches of oscillating solutions connecting Hopf bifurcation points, which may be super- or subcritic...
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A random dot pattern moved at a velocity V1. The velocity then increased or decreased abruptly to another value V2 for some time and again returned to V1. The temporal threshold, i.e. the duration of V2 that was necessary to detect the change was measured. Thresholds for the detection of the same velocity increment, V2 = 2 x V1, were shorter when the baseline velocity V1 increased from 1 to 8 d...
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ژورنال
عنوان ژورنال: Journal of the Franklin Institute
سال: 1899
ISSN: 0016-0032
DOI: 10.1016/s0016-0032(99)90225-9