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Topological stability criteria for synchronized coupled systems of non-identical oscillators
Topological stability criteria synchronized coupled systems of non-identical oscillators
2010/12/28
Individual dynamical units that are coupled via an interaction network can synchronize spontaneously without central regulation. The propensity to synchronize depends on structural properties of the i...
The role of flow geometry in influencing the stability criteria for low angular momentum axisymmetric black hole accretion
the stability criteria low angular momentum axisymmetric black hole accretion
2011/1/11
Using mathematical formalism borrowed from dynamical systems theory, a complete analytical investigation of the critical behaviour of the stationary flow configuration for the low angular momentum axi...
Stability Criteria and Turbulence Paradox Problem For Type II 3D Shears
Type II 3D shear turbulence paradox channel flow hydrodynamic stability
2010/12/16
There are two types of 3D shears in channel flows: (U(y, z), 0, 0)and (U(y), 0,W(y)). Both are important in organizing the phase space structures of the channel flows. Stability criteria of the type I...
Stability Criteria of 3D Inviscid Shears
3D Inviscid Shears laminar shear plane Couette flow
2010/4/8
The classical plane Couette flow, plane Poiseuille flow, and pipe Poiseuille flow share some universal 3D steady coherent structure in the form of "streak-roll-critical layer". As the Reynolds number ...