[1]Afraimovich, V. and Fernandez, B.. Topological properties of linearly coupled expanding map lattices. Nonlinearity 13 (2000), 973–993.
[2]Bardet, J.-B. and Fernandez, B.. Extensive escape rate in lattices of weakly coupled expanding maps. Discrete Contin. Dyn. Syst. A 31 (2011), 669–684.
[3]Bardet, J.-B. and Keller, G.. Phase transitions in a piecewise expanding coupled map lattice with linear nearest neighbour coupling. Nonlinearity 19 (2006), 2193–2210.
[4]Bricmont, J. and Kupiainen, A.. Coupled analytic maps. Phys. D 8 (1995), 379–396.
[5]Bunimovich, L. and Sinai, Y.. Space–time chaos in coupled map lattices. Nonlinearity 1 (1988), 491–516.
[6]Chazottes, J.-R. and Fernandez, B. (eds) Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems (Lecture Notes in Physics, 671). Springer, Berlin, 2005.
[7]Coutinho, R., Fernandez, B. and Guiraud, P.. Symbolic dynamics of two coupled Lorenz maps: from uncoupled regime to synchronisation. Phys. D 237 (2008), 2444–2462.
[8]Falconer, K.. Fractal Geometry: Mathematical Foundations and Applications, 2nd edn. Wiley, Chichester, 2003.
[9]Fernandez, B.. Global synchronisation in translation invariant coupled map lattices. Internat. J. Bifur. Chaos 18 (2008), 3455–3459.
[10]Fernandez, B. and Guiraud, P.. Route to chaotic synchronisation in coupled map lattices: rigorous results. Discrete Contin. Dyn. Syst. B 4 (2004), 435–455.
[11]Fernandez, B. and Jiang, M.. Coupling two unimodal maps of simple kneading sequences. Ergod. Th. & Dynam. Sys. 24 (2004), 107–125.
[12]Gielis, G. and MacKay, R.. Coupled map lattices with phase transitions. Nonlinearity 13 (2000), 867–888.
[13]Guckenheimer, J. and Holmes, P.. Nonlinear Oscillators, Dynamical Systems and Bifurcations of Vector Fields. Springer, New York, 1983.
[14]Jiang, M. and Pesin, Y.. Equilibrium measures for coupled map lattices: existence, uniqueness and finite-dimensional approximations. Comm. Math. Phys. 193 (1998), 675–711.
[15]Jost, J. and Joy, M.. Spectral properties and synchronization in coupled map lattices. Phys. Rev. E 65 (2001), 016201.
[16]Kaneko, K.. Period-doubling of kink-antikink patterns, quasiperiodicity in antiferro-like structures and spatial intermittency in coupled logistic lattice. Progr. Theoret. Phys. 72 (1984), 480–486.
[17]Kaneko, K. (ed.) Theory and Applications of Coupled Map Lattices. Wiley, Chichester, 1993.
[18]Katok, A. and Hasselblatt, B.. Introduction to the Modern Theory of Dynamical Systems. Cambridge University Press, Cambridge, 1995.
[19]Keller, G., Künzle, M. and Nowicki, T.. Some phase transitions in coupled map lattices. Phys. D 59 (1992), 39–51.
[20]Keller, G. and Liverani, C.. Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension. Comm. Math. Phys. 262 (2006), 33–50.
[21]Koiller, J. and Young, L.-S.. Coupled map networks. Nonlinearity 23 (2010), 1121–1141.
[22]Lind, D. and Marcus, B.. An Introduction to Symbolic Dynamics and Coding. Cambridge University Press, Cambridge, 1995.
[23]Lind, P., Corte-Real, J. and Gallas, J.. Modeling velocity in gradient flows with coupled-map lattices with advection. Phys. Rev. E 66 (2002), 016219.
[24]MacKay, R.. Dynamics of networks: features which persist from the uncoupled limit. Stochastic and Spatial Structures of Dynamical Systems, Lunel (1996), 81–104.
[25]Oono, Y. and Puri, S.. Computationally efficient modeling of ordering of quenched phases. Phys. Rev. Lett. 58 (1987), 836–839.
[26]Rand, D.. The topological classification of Lorenz attractors. Math. Proc. Cambridge Philos. Soc. 83 (1978), 451–460.
[27]Robinson, C.. Dynamical Systems, 2nd edn. CRC Press, Boca Raton, FL, 1999.
[28]Solé, R., Valls, J. and Bascompte, J.. Spiral waves, chaos and multiple attractors in lattice models of interacting populations. Phys. Lett. A 166 (1992), 123–128.
[29]Waller, I. and Kapral, R.. Spatial and temporal structure in systems of coupled nonlinear oscillators. Phys. Rev. A 30 (1984), 2047–2055.
$C^1$
-perturbations of the individual map.
