Browsing Faculty Works, Department of Mathematics by Subject "behavior"
Now showing items 14 of 4

coupling constant thresholds of perturbed periodic Hamiltonians
(AIP Publishing, 199809)We consider Schrodinger operators of the form Hlambda= Delta + V + lambda W on L2(Rv) (v=1, 2, or 3) with V periodic, W short range, and lambda a real nonnegative parameter. Then the continuous spectrum of Hlambda ... 
inverse wave scattering with discontinuous wave speed
(AIP Publishing, 199506)The inverse scattering problem on the line is studied for the generalized Schrödinger equation (d 2ψ/dx 2)+k 2 H(x)2ψ=Q(x)ψ, where H(x) is a positive, piecewise continuous function with positive limits H ± as x → ±∞. This ... 
Smallenergy analysis for the selfadjoint matrix Schrodinger operator on the half line
(AIP Publishing, 201110)The matrix Schrodinger equation with a selfadjoint matrix potential is considered on the half line with the most general selfadjoint boundary condition at the origin. When the matrix potential is integrable and has a ... 
The effect of negative feedback loops on the dynamics of Boolean networks
(CELL PRESS, 200807)Feedback loops play an important role in determining the dynamics of biological networks. To study the role of negative feedback loops, this article introduces the notion of distancetopositivefeedback which, in essence, ...