Discretizations and Grobman-Hartman Lemma, discretizations and the hierarchy of invariant manifolds about equilibria are considered. For one-step methods, it is proved that the linearizing conjugacy for ordinary differential equations in Grobman-Hartman Lemma is, with decreasing stepsize, the limit of the linearizing conjugacies of the discrete systems obtained via time-discretizations. Similar...

s and proceedings from the American Council of Academic Plastic Surgeons Winter Retreat that was held on February 6–7, 2016, in Chicago, Ill. Presented at the American Council of Academic Plastic Surgeons Winter Retreat, February 6 and 7, 2016, Chicago, Ill. 2016 ACAPS Winter Retreat Meeting AbstrActs

Organisms are made up of thousands of different cell types that must migrate, proliferate, and interact with each other to yield functional organ systems and ultimately a viable organism. A characteristic that distinguishes one cell type from another is the set of genes that it expresses. An article by Hartman et al. in the April 2015 issue of GENETICS identified methods to uniquely identify di...

In this paper, the unsteady magnetohydrodynamic (MHD) Couette flow of two non-Newtonian immiscible fluids micropolar and dusty (fluid-particle suspension) are considered in horizontal channel with heat transfer. A comprehensive mathematical model computational simulation modified cubic B-Spline-Differential Quadrature method (MCB-DQM) is described for flow. The coupled partial differential equa...

The purpose of this paper is to completely prove a conjecture in J. R. Haddock and R. Sacker [l] and further extend a result on asymptotic integration obtained previously by 0. Arino and I. Gyori [24]. Asymptotic integration deals with non-autonomous evolution equations which asymptotically are autonomous, and aims at relating the asymptotic behavior of the solutions of these equations to the a...

Abstract: In this work, a nonsmooth multiobjective optimization problem involving generalized invexity with cone constraints and Applications (for short, (MOP)) is considered. The Kuhn-Tucker necessary and sufficient conditions for (MOP) are established by using a generalized alternative theorem of Craven and Yang. The relationship between weakly efficient solutions of (MOP) and vector valued s...

Three different techniques (adiabatic passage Hartman-Hahn cross-polarization, optimal control designed pulses, and EXPORT) are compared for transferring (15)N magnetization to (13)C in solid-state NMR experiments under magic-angle-spinning conditions. We demonstrate that, in comparison to adiabatic passage Hartman-Hahn cross-polarization, optimal control transfer pulses achieve similar or bett...

One of the most fundamental results in analysing the stability properties of periodic orbits and limit cycles of dynamical systems is Poincaré’s theorem. The proof of this result involves system analytic arguments along with the Hartman–Grobman theorem. Using the notions of stability of sets, lower semicontinuous Lyapunov functions are constructed to provide a Lyapunov function proof of Poincar...