1Balmforth, N. J., Ierley, G. R. and Worthing, R.. Pulse dynamics in an unstable medium. SIAM J. Appl. Math. 57 (1997), 205–251.
2Collet, P. and Eckmann, J.-P.. The existence of dendritic fronts. Comm. Math. Phys. 107 (1986), 39–92.
3Collet, P. and Eckmann, J.-P.. The time dependent amplitude equation for the Swift-Hohenberg problem. Comm. Math. Phys. 132 (1990), 139–153.
4Coppel, W. A.. Dichotomies in stability theory (Springer, 1978).
5Golubitsky, M. and Schaeffer, D. G.. Singularities and groups in bifurcation theory (Springer, 1985).
6Henry, D.. Geometric theory of semilinear parabolic equations (Springer, 1981).
7Iooss, G. and Mielke, A.. Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders. J. Nonlinear Sci. 1 (1991), 107–146.
8Iooss, G., Mielke, A. and Demay, Y.. Theory of steady Ginzburg–Landau equation in hydrodynamic stability problems. Europ. J. Mech. B: Fluids 8 (1989), 229–268.
9Kirchgässner, K.. Wave solutions of reversible systems and applications. J. Diff. Eqns 45 (1982), 113–127.
10Lord, G. J., Peterhof, D., Sandstede, B. and Scheel, A.. Numerical computation of solitary waves in semilinear elliptic problems on infinite cylinders. SIAM J. Numer. Analysis. (In the press.)
11Mielke, A.. A reduction principle for nonautonomous systems in infinite-dimensional spaces. J. Diff. Eqns 65 (1986), 68–88.
12Mielke, A. and Schneider, G.. Attractors for modulation equations on unbounded domains— existence and comparison. Nonlinearity 8 (1995), 743–768.
13Palmer, K. J.. Exponential dichotomies and transversal homoclinic points. J. Diff. Eqns 55 (1984), 225–256.
14Peterhof, D., Sandstede, B. and Scheel, A.. Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders. J. Diff. Eqns 140 (1997), 266–308.
15Renardy, M.. Bifurcation of singular solutions in reversible systems and applications to reaction–diffusion equations. Adv. Math. 3 (1982), 384–406.
16Sandstede, B.. Stability of multiple-pulse solutions. Trans. Am. Math. Soc. 350 (1998), 429–472.
17Sandstede, B.. Stability of N-fronts bifurcating from a twisted heteroclinic loop and an application to the FitzHugh-Nagumo equation. SIAM J. Math. Analysis 29 (1998), 183–207.
18Sandstede, B. and Scheel, A.. Spectral stability of modulated travelling waves bifurcating near essential instabilities. Proc. R. Soc. Edinb. A. (In the press.)
19Sandstede, B. and Scheel, A.. Essential instability of fronts. (In preparation.)
20Sherratt, J. A.. Invading wave fronts and their oscillatory wakes linked by a modulated travelling phase resetting wave. Phys. D 117 (1998), 145–166.
21Turing, A.. The chemical basis of morphogenesis. Phil. Trans. R. Soc. Lond. B 237 (1952), 37–72.
22Vanderbauwhede, A. and Iooss, G.. Center manifold theory in infinite dimensions. Dynamics Reported, New Series 1 (1991), 125–163.