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RISDivergence-free vector fields with average and asymptotic average shadowing property
Let X be a divergence-free vector field on a three-dimensional compact connected
Riemannian manifold. In this paper, we show that if X is in the C^1-interior of the set of
divergence-free vector fields which satisfy the average...
mu Expansive Measure for Flows
In this paper we show that if $X$ is in the $C^1$-interior of the set of $\\mu$-measure expansive divergence free vector fields, then $X$ admits a dominated splitting. We also show that in dimension 3, the above result would be Anosov...
Differential Geometry on SU(N): Left and Right Invariant Vector Fields and One-Forms
In this paper we provide an analytical procedure for explicit calculation of the left and right invariant vector fields and oneforms on SU(N) manifold. The calculations are based on the coset parametrization of SU(N) group. The results enable us...
general nonlinear modal representation of large scale power systems
In this paper an approach is devised to represent, and
study the behavior of, nonlinear dynamic systems using general
nonlinear modal representation. This approach is shown to compare
favorably to the normal form of vector field...
Explaining and Validating Stressed Power Systems Behavior Using Modal Series
In this paper, qualitative and quantitative differences between nonlinear and linear modal simulations in stressed power system are presented. For the first time in the literature, timedomain nonlinear simulation is used ...