For systems with a low or moderate level of noise, the investigation of deterministic generalized models can still be useful, since it is unlikely that the presense of noise alters the local bifurcation structure qualitatively in this case.
Generalized models as a universal approach to the analysis of nonlinear dynamical systems
Solid lines are linear ﬁt to the M2 vs H/M curve indicating the presense of spontaneous magnetization.
Selective substitution in orbital domains of a low doped manganite : an investigation from Griffiths phenomenon and modification of glassy features
In the presense of a space-charge layer, the challenge is to tie up the O(ǫ) but divergent counterion concentration in the space-charge layer, cf.
Strongly nonlinear dynamics of electrolytes in large ac voltages
CM B + nEBL ) is the photon density of CMB and EBL background radiations, σ and ν are, respectively, the photo-disintegration cross-section and the multiplicity (mean number) of ejected nucleons (due to presense of EBL we do not assume here ν = 1).
Analytic calculations of the spectra of ultra high energy cosmic ray nuclei. II. The general case of background radiation
Combined s + t contribution is clearly visible in the plots while the signal presense in s-channel discriminant is not signiﬁcant.
\ttbar and single top cross sections at the Tevatron