Abstract
In this work, we introduce two spatiotemporal colored bounded noises, based on the zero-dimensional Cai-Lin and Tsallis-Borland noises. Then we study and characterize the dependence of the defined stochastic processes on both a temporal correlation parameter τ and a spatial coupling parameter λ. In particular, we found that varying λ may induce a transition of the distribution of the noise from bimodality to unimodality. With the aim of investigating the role played by bounded noises in nonlinear dynamical systems, we analyze the behavior of the real Ginzburg-Landau time-varying model additively perturbed by such noises. The observed phase transition phenomenology is quite different from that observed when the perturbations are unbounded. In particular, we observed an inverse order-to-disorder transition and a reentrant transition, with dependence on the specific type of bounded noise.
| Original language | English |
|---|---|
| Article number | 021118 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 86 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Aug 16 2012 |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability
Cite this
Spatiotemporal bounded noises and transitions induced by them in solutions of the real Ginzburg-Landau model. / De Franciscis, Sebastiano; D'Onofrio, Alberto.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 86, No. 2, 021118, 16.08.2012.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Spatiotemporal bounded noises and transitions induced by them in solutions of the real Ginzburg-Landau model
AU - De Franciscis, Sebastiano
AU - D'Onofrio, Alberto
PY - 2012/8/16
Y1 - 2012/8/16
N2 - In this work, we introduce two spatiotemporal colored bounded noises, based on the zero-dimensional Cai-Lin and Tsallis-Borland noises. Then we study and characterize the dependence of the defined stochastic processes on both a temporal correlation parameter τ and a spatial coupling parameter λ. In particular, we found that varying λ may induce a transition of the distribution of the noise from bimodality to unimodality. With the aim of investigating the role played by bounded noises in nonlinear dynamical systems, we analyze the behavior of the real Ginzburg-Landau time-varying model additively perturbed by such noises. The observed phase transition phenomenology is quite different from that observed when the perturbations are unbounded. In particular, we observed an inverse order-to-disorder transition and a reentrant transition, with dependence on the specific type of bounded noise.
AB - In this work, we introduce two spatiotemporal colored bounded noises, based on the zero-dimensional Cai-Lin and Tsallis-Borland noises. Then we study and characterize the dependence of the defined stochastic processes on both a temporal correlation parameter τ and a spatial coupling parameter λ. In particular, we found that varying λ may induce a transition of the distribution of the noise from bimodality to unimodality. With the aim of investigating the role played by bounded noises in nonlinear dynamical systems, we analyze the behavior of the real Ginzburg-Landau time-varying model additively perturbed by such noises. The observed phase transition phenomenology is quite different from that observed when the perturbations are unbounded. In particular, we observed an inverse order-to-disorder transition and a reentrant transition, with dependence on the specific type of bounded noise.
UR - http://www.scopus.com/inward/record.url?scp=84865322259&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84865322259&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.86.021118
DO - 10.1103/PhysRevE.86.021118
M3 - Article
AN - SCOPUS:84865322259
VL - 86
JO - Physical Review E
JF - Physical Review E
SN - 1063-651X
IS - 2
M1 - 021118
ER -