NONLINEARITY Volume 18, Issue 2, March 2005 All articles are free for 30 days after publication on the web. This issue is available at: URL: http://stacks.iop.org/0951-7715/18/i=2 Pages: 465-938 PAPERS 465 Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory E Grenier, C K R T Jones, F Rousset and B Sandstede 485 Robust chaos and border-collision bifurcations in non-invertible piecewise-linear maps P Kowalczyk 505 A generalization of the Gauss map and some classical theorems on continued fractions S D Cruz and L F C da Rocha 527 Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation T Wagenknecht 543 Solitons and admissible families of rational curves in twistor spaces M Dunajski, S Gindikin and L J Mason 559 Computability of the Hausdorff and packing measures on self-similar sets and the self-similar tiling principle M Mor\'an 571 The KPP system in a periodic flow with a heat loss P V Gordon, L Ryzhik and N Vladimirova 591 Topological entropy, homological growth and zeta functions on graphs J Ferreira Alves, R Hric and J Sousa Ramos 609 On degenerate saturated-diffusion equations with convection A Chertock, A Kurganov and P Rosenau 631 Two-colour patterns of synchrony in lattice dynamical systems Y Wang and M Golubitsky 659 Convergence of invariant densities in the small-noise limit K K Lin 685 Invariant curves of quasi-periodic reversible mappings B Liu 703 Branched derivatives A Blokh and M Misiurewicz 717 Non-uniqueness and global similarity solutions for a higher-order semilinear parabolic equation V A Galaktionov and P J Harwin 747 Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations T Caraballo, I Chueshov and J A Langa 769 Effect of the introduction of impurities on the stability properties of multibreathers at low coupling J Cuevas, J F R Archilla and F R Romero 791 Symmetries and reversing symmetries of polynomial automorphisms of the plane M Baake and J A G Roberts 817 Analytical study of integrable--nonintegrable transition of the shifted KdV map S Onozawa 831 Continuity of SRB measure and entropy for Benedicks--Carleson quadratic maps J Milhazes Freitas 855 KAM theory without action-angle variables R de la Llave, A Gonz\'alez, \`A Jorba and J Villanueva 897 Relations between natural and observable measures E J\"arvenp\"a\"a and T Tolonen 913 Ratio-dependent predator--prey model{:} effect of environmental fluctuation and stability M Bandyopadhyay and J Chattopadhyay CORRIGENDUM 937 Trace for the Loewner equation with singular forcing L P Kadanoff and M Kleine Berkenbusch=