Recently, Medvedev & Narayan (2001) discovered a new type of accretion flow, a hot settling flow around a rapidly rotating neutron star. The flow is cooling-dominated and energetically similar to the Shapiro, Lightman, & Eardley (1976, SLE) solution. Since the SLE solution is known to be thermally unstable, one might suspect that the new solution would also be unstable. However, due to the very...

The result that a linear multiapproach, and the solution is expressed in terms of variable system is decouplable with stability the infinite and unstable contents of the system. The if and only if its associated stable interactor decoupling problem with stability of nonsquare sysis diagonal, is proved in this paper using an tems is considered in (Ruiz-León et al., 1995) using algebraic approach...

In this paper, study the system of differential equations ... X + F (Ẋ)Ẍ +G(X)Ẋ +H(X, Ẋ, Ẍ) = 0 . We find sufficient conditions for the zero solution to be unstable, and to be the only periodic solution.

We study the stability of the isotropic vacuum Friedmann universe in gravity theories with higherorder curvature terms of the form (RabR ) added to the Einstein-Hilbert Lagrangian of general relativity on approach to an initial cosmological singularity. Earlier, we had shown that, when n = 1, a special isotropic vacuum solution exists which behaves like the radiation-dominated Friedmann univers...

We demonstrate the existence of a new steady-state magnetic reconnection configuration which lies at the boundary of the basins of attraction between the Sweet-Parker and Hall reconnection configurations. The solution is linearly unstable to small perturbations and its identification required a novel iterative numerical technique. The eigenmodes of the unstable solution are localized near the X...