Localized Structures and Turbulent Spectra in the Magnetopause

2019 ◽  
Author(s):  
Neha Pathak ◽  
R. Uma ◽  
R. P. Sharma
Keyword(s):  
Localized Structures ◽  
Turbulent Spectra

Domain wall dynamics: Growth laws, localized structures and stable droplets

2007 ◽  
Vol 146 (1) ◽  
pp. 71-86 ◽  
Author(s):  
D. Gomila ◽  
P. Colet ◽  
M. S. Miguel ◽  
G.-L. Oppo
Keyword(s):  
Domain Wall ◽  
Domain Wall Dynamics ◽  
Localized Structures ◽  
Growth Laws

Mapping local defects of extended media using localized structures

2008 ◽  
Vol 93 (11) ◽  
pp. 111104 ◽  
Author(s):  
F. Pedaci ◽  
G. Tissoni ◽  
S. Barland ◽  
M. Giudici ◽  
J. Tredicce
Keyword(s):  
Localized Structures ◽  
Local Defects

Temporal localized structures in mode-locked semiconductor lasers

2016 ◽  
Author(s):  
M. Marconi ◽  
P. Camelin ◽  
S. Balle ◽  
J. Javaloyes ◽  
M. Giudici
Keyword(s):  
Semiconductor Lasers ◽  
Localized Structures

Optical rogue waves and localized structures in nonlinear fiber optics

2011 ◽  
Author(s):  
Goery Genty ◽  
Miro Erkintalo ◽  
Bertrand Kibler ◽  
Julien Fatome ◽  
Christophe Finot ◽  
...  
Keyword(s):  
Fiber Optics ◽  
Rogue Waves ◽  
Nonlinear Fiber Optics ◽  
Localized Structures ◽  
Nonlinear Fiber

Structure and dynamics of homogeneous turbulence: models and simulations

1991 ◽  
Vol 434 (1890) ◽  
pp. 101-124 ◽  
Keyword(s):  
Turbulence Models ◽  
Background Field ◽  
Quantitative Model ◽  
Homogeneous Turbulence ◽  
Strongly Correlated ◽  
Structure And Dynamics ◽  
Localized Structures ◽  
Kolmogorov Theory ◽  
Statistics Of Turbulence ◽  
Random Background

This paper presents a review of recent results on homogeneous turbulence. We discuss results obtained by direct numerical simulation as well as phenomenological models for the interpretation and understanding of these flows. In particular, we show that homogeneous turbulence can be well described in terms of a weakly correlated, random background field that is generally consistent with the classical Kolmogorov theory of turbulence, and strongly correlated, highly localized structures, that are largely responsible for intermittency effects and deviations from Kolmogorov scaling. These results give a unified dynamical picture of turbulence that describes both the energetics and intermittency of homogeneous turbulence, and allows us to develop a quantitative model for the description of the statistics of turbulence at small scales.

Kolmogorov weakly turbulent spectra of some types of drift waves in plasmas

1988 ◽  
Vol 133 (7-8) ◽  
pp. 407-409 ◽  
Author(s):  
A.B. Mikhailovskii ◽  
S.V. Nazarenko ◽  
S.V. Novakovskii ◽  
A.P. Churicov ◽  
O.G. Onishchenko
Keyword(s):  
Drift Waves ◽  
Turbulent Spectra

Curvature effects and radial homoclinic snaking

2021 ◽  
Author(s):  
Damià Gomila ◽  
Edgar Knobloch
Keyword(s):  
Scaling Law ◽  
Spatial Dynamics ◽  
Two Dimensions ◽  
Localized States ◽  
Homogeneous State ◽  
Curvature Effects ◽  
Localized Structures ◽  
Homoclinic Snaking ◽  
Curvature Driven ◽  
Axisymmetric Structures

Abstract In this work, we revisit some general results on the dynamics of circular fronts between homogeneous states and the formation of localized structures in two dimensions (2D). We show how the bifurcation diagram of axisymmetric structures localized in radius fits within the framework of collapsed homoclinic snaking. In 2D, owing to curvature effects, the collapse of the snaking structure follows a different scaling that is determined by the so-called nucleation radius. Moreover, in the case of fronts between two symmetry-related states, the precise point in parameter space to which radial snaking collapses is not a ‘Maxwell’ point but is determined by the curvature-driven dynamics only. In this case, the snaking collapses to a ‘zero surface tension’ point. Near this point, the breaking of symmetry between the homogeneous states tilts the snaking diagram. A different scaling law is found for the collapse of the snaking curve in each case. Curvature effects on axisymmetric localized states with internal structure are also discussed, as are cellular structures separated from a homogeneous state by a circular front. While some of these results are well understood in terms of curvature-driven dynamics and front interactions, a proper mathematical description in terms of homoclinic trajectories in a radial spatial dynamics description is lacking.

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