Papers in conference proceedings and other collections

1.

``Some ideas in the proof that the FitzHugh-Nagumo pulse is stable'' in Nonlinear Partial Differential Equations, J.Smoller ed., Contemporary Mathematics 17, AMS, 1984

2.

``A mechanism for chaos in a nonlinear optical system'' in Optical Bistability II, C.Bowden, H.Gibbs and S.McCall eds., Plenum Press, 1984 (with S.Hammel and J.Moloney)

3.

``Invariant manifolds with applications'' in Nonlinear Functional Analysis and its Applications, S.P.Synge ed., Nato Advanced Studies Institute, D.Reidel, Amsterdam, 1986 (with P.Bates)

4.

``On the infinitely many standing waves of some nonlinear Schrö dinger equations'' in Nonlinear Systems of Partial Differential Equations in Applied Mathematics Part II, B.Nicolaenko, D.Holm and J.Hyman eds., Lectures in Applied Mathematics 23, AMS, 1986

5.

``Stability and instability of nonlinear standing waves in planar optical waveguides'' in Opt. Bistab. III, H.Gibbs, P.Mandel, N.Peyghambarian and S.D.Smith eds., Springer Proc. in Physics 8, 1986 (with J.Moloney)

6.

``Standing Waves of nonlinear Schrödinger equations: existence and stability'' in Material Instabilities in Continuum Mechanics and Related Mathematical Problems, J.M.Ball ed., Oxford, 1988

7.

``The solutions of the nonlinear Klein-Gordon equation near a steady state'' in Advanced Topics in the Theory of Dynamical Systems, G.Fusco, N.Ianelli and L.Salvadore eds., Academic Press, 1989 (with P.Bates)

8.

``Construction of the FitzHugh-Nagumo pulse using differential forms'', in Patterns and Dynamics in Reactive Media, R.Aris, D.Aronson and H.Swinney eds., IMA vol. 37, Springer-Verlag, NY, 1991 (with N.Kopell and R.Langer)

9.

``Stability of one-dimensional waves in weak and singular limits'', in Viscous Profiles and Numerical Methods for Shock Waves, M.Shearer ed., SIAM Proceedings in Applied Mathematics 56, 1991 (with R.Gardner)

10.

``On the significance of homoclinic orbits to chaotic motion'' in The Chaos Paradigm: Developments and Applications in Engineering and Science, R.Katz ed., Proceedings of the ONR/NUWC Conference, Mystic, CT, April 1993, AIP Conference Proceedings 296

11.

``Chaotic mixing across oceanic jets'' Proc. ONR/NUWC Conference on Nonlinear Signal Processing, Mystic, CT, July 1995 (with P.Miller, G.Haller and L.Pratt)

12.

``Stable multiple pulses in optical fibers with phase-sensitive amplification'' Proceedings of the Optical Society of America meeting: Nonlinear Guided Waves and their Applications, 1998 (with R.Moore, W.Kath, J.Alexander and B.Sandstede)

13.

``A primer on the Exchange Lemma in fast-slow systems'' to appear in Multiple Time Scale Dynamical Systems, IMA Proceedings, Springer-Verlag, 2000 (with T.Kaper)

14.

``Do invariant manifolds hold water?'' to appear in the Handbook of Dynamical Systems:Towards Applications, B.Fiedler, G.Iooss and N.Kopell eds., Elsevier, 2000 (with S.Winkler)