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...

‎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...

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...

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...

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 ...