Variationally stable differential systems

Variationally universal hashing

The strongest well-known measure for the quality of a universal hash-function family H is its being ε-strongly universal, which measures, for randomly chosen h ∈ H, one’s inability to guess h(m′) even if h(m) is known for some m 6= m′. We give example applications in which this measure is too weak, and we introduce a stronger measure for the quality of a hash-function family, ε-variationally un...

Multipolar polarizabilities of the sodium atom by a variationally stable procedure.

We present a formalism that combines a semiempirical model potential with a second-order energy correction variationally stable method to evaluate the multipolar dynamic polarizabilities of the sodium atom. In this framework, the alpha(L)(omega) up to L=4 were calculated achieving good precision including the resonance domains of omega.

Stable periodicity and negative circuits in differential systems.

We provide a counter-example to a conjecture of René Thomas on the relationship between negative feedback circuits and stable periodicity in ordinary differential equation systems (Kaufman et al. in J Theor Biol 248:675-685, 2007). We also prove a weak version of this conjecture by using a theorem of Snoussi.

Variationally stable treatment of two- and three-photon detachment of H- including electron-correlation effects.

Delay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems

In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...