S. Hastings

collaborators

3 papers

math.DS2001

A shooting approach to layers and chaos for a forced Duffing equation

SB. Ai, S. Hastings

We study equilibrium solutions for the problem $u_{t} = ε^{2} u_{xx} - u^{3} + λ u - cos (t)$ , $u_{x} (0, t) = u_{x} (L, t) = 0$ . Using a shooting method we find solutions for all non-zero $ε .$ For small $ε…

cond-mat.supr-con1999

On the global bifurcation diagram for the one-dimensional Ginzburg Landau model of superconductivity

E. N. Dancer, S. P. Hastings

Some new global results are given about solutions to the boundary value problem for the Euler-Lagrange equations for the Ginzburg-Landau model of a one-dimensional superconductor.…

cond-mat.supr-con1999

There are Asymmetric Minimizers for the One-Dimensional Ginzburg-Landau Model of Superconductivity

S. P. Hastings, W. C. Troy

We study a boundary value problem associated with a system of two second order differential equations with cubic nonlinearity which model a film of superconductor material subjecte…