Bastien Fernandez
	[Picture: at Nevado de Toluca (Mexico) with P. Guiraud (bottom) and A. Meyroneinc (top) August 2003]
Publications

• Kink's dynamics in one-dimensional coupled map lattices Chaos 5 (1995) 602-608 [Preprint: chao-dyn/9410004]

• Existence and stability of steady fronts in bistable coupled map lattices J. Stat. Phys 82. (1996) 931-950 [Preprint: patt-sol/9511001]

• The propagating fronts in a bistable CML J. Stat. Phys. 86 (1997) 337-350, with L. Raymond.

• On the eigenvalues of some transfer matrices J. Comp. Appl. Math. 81 (1997) 249-255, with M. Pindor.

• Extended symbolic dynamics in bistable CML: Existence and stability of fronts Physica D 108 (1997) 60-80, with R. Coutinho [Preprint: patt-sol/9609004]

• On the global orbits in a bistable CML Chaos 7 (1997) 301-310, with R. Coutinho.

• Fronts and interfaces in bistable extended mappings Nonlinearity 11 (1998) 1407-1433, with R. Coutinho [Preprint: patt-sol/9805006]

• Population dynamics in heterogeneous environments Int. J. Bif. & Chaos 10 (2000) 1993-2000, with V. Tereshko [Comments and corrections: .pdf (107KB)]

• Topological properties of linearly coupled expanding map lattices Nonlinearity 13 (2000) 973-993, with V. Afraimovich [Erratum: .pdf (93KB)]

• On the stability of periodic orbits in lattice dynamical systems Dynamical Systems 16 (2001) 247-252, with A. Morante.

• From synchronisation to multistability in two coupled quadratic maps Phys. Lett. A 85 (2001) 327-338, with R. Carvalho and R. Vilela Mendes [Preprint: nlin.CD/0005053]

• Spectrum of dimension for Poincaré recurrences of Markov maps Discrete & Cont. Dynam. Sys. A 8 (2002) 835-849, with E. Ugalde and J. Urias.

• Coupling two unimodal maps of simple kneading sequences Ergod. Th. & Dynam. Sys. 24 (2004) 107-125, with M. Jiang. [Preprint: mp_arc/00-387]

• Route to chaotic synchronisation in coupled map lattices: rigorous results Discrete & Cont. Dynam. Sys. B 4 (2004) 435-455, with P. Guiraud. [Preprint: nlin.CD/0210019]

• Fronts in extended systems of bistable maps coupled via convolutions Nonlinearity 17 (2004) 23-47, with R. Coutinho [Reprint: .pdf]
  

• Spatially extended circle maps: Monotone periodic dynamics of functions with linear growth J. Nonlinear Sci. 14 (2004) 93-118, with R. Coutinho [Reprint: .pdf]
  

• Discrete time piecewise affine models of genetic regulatory networks J. Math. Bio. 52 (2006) 524-570, with R. Coutinho, R. Lima and A. Meyroneinc. [Preprint: math.DS/0505044]

• Metastability in interacting nonlinear stochastic differential equations I: From weak coupling to synchronisation Nonlinearity 20 (2007) 2551-2581, with N. Berglund and B. Gentz [Preprint: mp_arc/06-337]

• Metastability in interacting nonlinear stochastic differential equations II: Large-N behaviour Nonlinearity 20 (2007) 2583-2614, with N. Berglund and B. Gentz [Preprint: mp_arc/06-338]

• Symbolic dynamics of two coupled Lorenz maps: from uncoupled regime to synchronisation Physica D 237 (2008) 2444-2462, with R. Coutinho and P. Guiraud [Preprint: mp_arc/07-170]

• Global synchronisation in translation invariant coupled map lattices, Int. J. Bif. & Chaos 18 (2008) 3455-59 [Reprint: .pdf]
  

• Athermal dynamics of strongly coupled stochastic three-state oscillators, with L. Tsimring,  Phys. Rev. Lett. 100 (2008) 165705 [Preprint: hal-00265346]

• Spatial chaos of traveling waves has a given velocity, with B. Luna and E. Ugalde, Phys. Rev. E 80 (2009) 025203(R) 

• T-cell receptor (TCR) Beta allelic exclusion in dynamical models of V(D)J recombination based on allelic independence, with E. Farcot, M. Bonnet, S. Jaeger, S. Spicuglia and P. Ferrier [Preprint: July 2009]

• The stability of periodic orbits in lattice dynamical systems, Aportaciones Matematicas 27 (2000) 115-118, with A. Morante
  

• Directional entropy in lattice dynamical systems in Progress in Nonlinear Science Vol 1, Institute of Applied Physics, Niznhy Novgorod (2002) 9-30, with V. Afraimovich, M. Courbage and A. Morante.

• Iterative construction of fronts in bistable extended systems in Iteration theory (ECIT'02) Grazer Math. Ber. 346 (2004) 91-97, with R. Coutinho.

• The CML2004 project in Dynamics of Coupled Map Lattices and related spatially extended systems, Lecture Notes in Physics 671, Springer-Verlag (2005), with J-R. Chazottes. [Reprint: .pdf (359KB)]
  

• Spatially extended monotone mappings in Dynamics of Coupled Map Lattices and of related spatially extended systems, Lecture Notes in Physics 671, Springer-Verlag [2005], with R. Coutinho. [Reprint: .pdf (1,8MB)]

• Route vers la synchronisation dans les réseaux d'applications chaotiques couplées in Actes du 5ième colloque sur le Chaos Temporel et Chaos Spatio-temporel, Le Havre (2005), with P. Guiraud and R. Coutinho. [Preprint: .pdf (132KB)]

	[Descent from La Malinche (Mexico) with E. Ugalde (August 2007)]

Last update: 08/07/09