Convection in multi-component rotating fluid layers via the auxiliary system method

2015 ◽  
Vol 65 (2) ◽  
pp. 363-379 ◽  
Author(s):  
Roberta De Luca ◽  
Salvatore Rionero
Keyword(s):  
Auxiliary System ◽  
Rotating Fluid ◽  
System Method ◽  
Fluid Layers ◽  
Auxiliary System Method

Partial synchronization in the second-order Kuramoto model: An auxiliary system method

2021 ◽  
Vol 31 (11) ◽  
pp. 113113
Author(s):  
Nikita V. Barabash ◽  
Vladimir N. Belykh ◽  
Grigory V. Osipov ◽  
Igor V. Belykh
Keyword(s):  
Second Order ◽  
Kuramoto Model ◽  
Auxiliary System ◽  
Partial Synchronization ◽  
System Method ◽  
Auxiliary System Method

scholarly journals The drag of a body moving transversely in a confined stratified fluid

1970 ◽  
Vol 43 (2) ◽  
pp. 407-418 ◽  
Author(s):  
M. R. Foster ◽  
P. G. Saffman
Keyword(s):  
Peclet Number ◽  
Slow Motion ◽  
Shear Layers ◽  
Stratified Fluid ◽  
Rotating Fluid ◽  
Péclet Number ◽  
Fluid Layers ◽  
Number Problem ◽  
Number Flow ◽  
Large Peclet Number

The slow motion of a body through a stratified fluid bounded laterally by insulating walls is studied for both large and small Peclet number. The Taylor column and its associated boundary and shear layers are very different from the analogous problem in a rotating fluid. In particular, the large Peclet number problem is non-linear and exhibits mixing of statically unstable fluid layers, and hence the drag is order one; whereas the small Peclet number flow is everywhere stable, and the drag is of the order of the Peclet number.

scholarly journals Generalized Outer Synchronization between Complex Networks with Unknown Parameters

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Di Ning ◽  
Xiaoqun Wu ◽  
Jun-an Lu ◽  
Hui Feng
Keyword(s):  
Complex Networks ◽  
Real World ◽  
Sufficient Criterion ◽  
Unknown Parameters ◽  
Outer Synchronization ◽  
Functional Relations ◽  
System Method ◽  
Barbalat’S Lemma ◽  
Auxiliary System Method ◽  
Theoretical Results

As is well known, complex networks are ubiquitous in the real world. One network always behaves differently from but still coexists in balance with others. This phenomenon of harmonious coexistence between different networks can be termed as “generalized outer synchronization (GOS).” This paper investigates GOS between two different complex dynamical networks with unknown parameters according to two different methods. When the exact functional relations between the two networks are previously known, a sufficient criterion for GOS is derived based on Barbalat's lemma. If the functional relations are not known, the auxiliary-system method is employed and a sufficient criterion for GOS is derived. Numerical simulations are further provided to demonstrate the feasibility and effectiveness of the theoretical results.

Dynamic of rotating fluid layers: $$L^2$$ L 2 -absorbing sets and onset of convection

2017 ◽  
Vol 228 (11) ◽  
pp. 4025-4037 ◽  
Author(s):  
Roberta De Luca ◽  
Salvatore Rionero
Keyword(s):  
Rotating Fluid ◽  
Onset Of Convection ◽  
Absorbing Sets ◽  
Fluid Layers
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