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The most general reaction-diffusion model on a Cayley tree with nearest-neighbor interactions is introduced, which can be solved exactly through the empty-interval method. The stationary solutions of such models, as well as their dynamics, are discussed. Concerning the dynamics, the spectrum of...
Persistent link: https://www.econbiz.de/10009280951
We study the nature of the instability of the homogeneous steady states of the subcritical real Ginzburg-Landau equation in the presence of group velocity. The shift of the absolute instability threshold of the trivial steady state, induced by the destabilizing cubic nonlinearities, is confirmed...
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correlation between the two Wiener processes, which model the two white noise sources. This model can be useful to describe the … noise on the statistical properties of the escape time with reference to the noise enhanced stability (NES) phenomenon, that … is the noise induced enhancement of the lifetime of a metastable state. We observe NES effect in our model with …
Persistent link: https://www.econbiz.de/10009279971
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We analyze the effect of a colored non Gaussian noise on a model of a random walker moving along a ratchet potential … correlated and non Gaussian. Among other aspects, in addition to a maximum in the current as the noise intensity is varied, we …
Persistent link: https://www.econbiz.de/10009280020
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multiplicative noise is analyzed. We find the role of the external noise on the long time probability distribution of the ith density …
Persistent link: https://www.econbiz.de/10009280043