Noise in Spatially Extended Systems

By P. Jung. 2001

340 citations recorded by the source corpus.

Subfields: Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/41ed038e78c25e2fa6ec59245383973d4fc1280b

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In Statistical and Nonlinear Physics

Citations in the corpus

A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics (2011, background): “The stochastic theory for SPDEs is much less developed [30] but statistical indicators are still expected to exist.”
Double resonance in cooperation induced by noise and network variation for an evolutionary prisoner's dilemma (2006, background): “However, since widespread cooperation is crucial for the prosperity of society and is therefore frequently encountered in real life [6]–[9], several mechanisms have been proposed to explain the emergence of cooperation in various types of games.”
Effect of non-Gaussian noise sources in a noise-induced transition (2003, background): “Also, we confirm the reentrance effect found for colored Gaussian noise and show the behavior of the transition line in the phase-like diagram as the noise departs from Gaussianity in the large correlation time limit.”
Noise-Induced Phenomena in the Environmental Sciences (2011, background): “Indeed, patterns have been shown (van den Broeck et al., 1994; Garcia-Ojalvo and Sancho, 1999; Loescher et al., 2003) to emerge as a result of the randomness inherent in environmental fluctuations.”
Vibrational resonance and vibrational propagation in excitable systems (2003, methodology): “To integrate model (1)–(2) we have used Heun’s algorithm [27].”
Front propagation into unstable states (2003, background): “The issues we address here are unaffected by the particular choice one makes, so we refer to the literature [12,176,177] for further discussion.”
Lattice models of nonequilibrium bacterial dynamics (2010, neutral): “(75) Note that a term ∇ δ δρ [D(ρ)] could be present, but vanishes for symmetry reasons (See [13,34]).”
Brownian motors: noisy transport far from equilibrium (2000, background): “Within the realm of noise-induced or -assisted non-equilibrium phenomena, an entire family of well-established major Felds are known under the labels of stochastic resonance [62], noise induced transitions [63] and phase transitions [64,65], reaction rate theory [66–68], and driven di5usive systems ”