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We study the distribution of graded degrees of freedom in classically stable oriented closed string vacua and use the Rankin-Selberg transform to link it to the nite one-loop vacuum energy.
We show that if p is an odd prime then p−1 X k=0 EkEp−1−k  1 (mod p) and p−3 X k=0 EkEp−3−k  (−1)(p−1)/22Ep−3 (mod p),where E0,E1,E2, . . . are ...
In this paper we present some recent results concerning the existence,the stability and the dynamics of solitons occurring in the nonlinear Schroedinger equation when the parameter h → 0.
We study the existence and stability properties of clusters of alternating charge vortices in Bose-Einstein condensates. It is illustrated that such states emerge from cascades of symmetry-breaking bi...
In this article we develop a new approach to the problem of the stability of locally conformally K¨ahler structures (l.c.k structures) under small deformations of complex structures and deformations o...
Large time behavior of solutions to abstract differential equations is studied.
In the present work, we numerically explore the existence and stability properties of di erent types of con gurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and d...
We consider interconnections of arbitrary topology of several hybrid input-to-state stable (ISS) systems and study whether the ISS property is preserved by an interconnection. The small gain approach ...
We prove the asymptotic stability of 1:1 spin orbit resonance for a stiff viscoelastic rotationally invariant satellite. The main point is that we do not assume any dissipation on the orbital degrees ...
We consider the nonlinear magnetic Schr¨odinger equation for u : R3 × R → C,iut = (i∇ + A)2u + V u + g(u), u(x, 0) = u0(x),where A : R3 → R3 is the magnetic potential, V : R3 → R is the electric...
Amino acid composition is an important determinant of protein structures. In this paper we investigate the relationship between amino acid composition and mechanical stability of protein sequences. We...
In this paper, the model of stochastic fuzzy Hopfield neural networks with time-varying delays and impulses (ISFVDHNNs) is established as a modified Takagi-Sugeno (TS) fuzzy model in which the consequ...
In this paper, we consider the stability and robust stability for descriptor systems with time-varying delay. First, we attempt to obtain delay-dependent stability conditions via linear matrix inequal...
Herein the traveling waves of compound Kdv-Burgers are considered,.with the help of an analytic function D(λ), the traveling wave is stable.
Neurotransmitter receptor molecules, concentrated in postsynaptic domains along with scaffold and a number of other molecules, are key regulators of signal transmission across synapses. Employing expe...

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