Center manifold reduction in infinite dimensions


    Center manifold theorems for infinite-dimensional maps


  • G. James, Centre manifold reduction for quasilinear discrete systems, J. Nonlinear Sci., vol. 13, n° 1 (2003), p. 27-63.

    Original publication available at www.springerlink.com. pdf file


  • G. James, B. Sànchez-Rey and J. Cuevas, Breathers in inhomogeneous lattices : an analysis via centre manifold reduction, Reviews in Mathematical Physics 21 (2009), 1-59.

    Original publication available at www.worldscientific.com. pdf file



    Spatial dynamics for time-periodic oscillations (bright and dark breathers) in lattices


  • G. James, Existence of breathers on FPU lattices, C. R. Acad. Sci. Paris, t. 332, Serie I (2001), p. 581-586.

    Original publication available at www.sciencedirect.com. pdf file


  • G. James, Centre manifold reduction for quasilinear discrete systems, J. Nonlinear Sci., vol. 13, n° 1 (2003), p. 27-63.

    Original publication available at www.springerlink.com. pdf file


  • G. James, A centre manifold technique for computing time-periodic oscillations in infinite lattices, proceedings of the third conference on Localization and Energy Transfer in Nonlinear Systems, San Lorenzo de El Escorial, Spain, 17-21 June 2002, L. Vazquez, R.S. MacKay, M.P. Zorzano Eds., World Scientific (2003), p. 202-209.

    Original publication available at www.worldscientific.com. pdf file


  • G. James and P. Noble, Breathers on diatomic Fermi-Pasta-Ulam lattices, Physica D 196 (2004), p. 124-171.

    Original publication available at www.sciencedirect.com. pdf file


  • G. James and M. Kastner, Bifurcations of discrete breathers in a diatomic Fermi-Pasta-Ulam chain, Nonlinearity 20 (2007), p. 631-657.

    Original publication available at www.iop.org. pdf file


  • G. James, B. Sànchez-Rey and J. Cuevas, Breathers in inhomogeneous lattices : an analysis via centre manifold reduction, Reviews in Mathematical Physics 21 (2009), 1-59.

    Original publication available at www.worldscientific.com. pdf file



    Systems of advance-delay differential equations (solitary waves, fronts and traveling breathers in lattices)


  • Y. Sire and G. James, Travelling breathers in Klein-Gordon chains, C. R. Acad. Sci. Paris, t. 338, Serie I (2004) p. 661-666.

    Original publication available at www.sciencedirect.com. pdf file


  • G. James and Y. Sire, Travelling breathers with exponentially small tails in a chain of nonlinear oscillators, Commun. Math. Phys. 257 (2005), p. 51-85.

    Original publication available at www.springerlink.com. pdf file


  • G. Iooss and G. James, Localized waves in nonlinear oscillator chains, Chaos 15 (2005), 015113.

    Original publication available at www.aip.org. pdf file



    Review on center manifolds for lattice differential equations


  • G. James and Y. Sire, Center manifold theory in the context of infinite one-dimensional lattices, in : The Fermi-Pasta-Ulam Problem. A Status Report, G. Gallavotti Ed., Lecture Notes in Physics 728 (2008), p. 207-238.

    Original publication available at www.springerlink.com. pdf file



    Quasilinear elliptic PDE with coefficients close to Dirac delta distributions


  • G. James, Réduction à une variété centrale du problème des ondes progressives en fluide continûment stratifié, dans la limite d'une stratification discontinue, C. R. Acad. Sci. Paris, t. 327, Série I (1998), p. 699-704.

    Original publication available at www.springerlink.com. pdf file


  • G. James, Internal Travelling Waves in the Limit of a Discontinuously Stratified Fluid, Arch. Rational Mech. Anal., vol. 160, n° 1 (2001), p. 41-90.

    Original publication available at www.springerlink.com. pdf file



    Dubreil-Jacotin - Long equation (semilinear elliptic PDE)


  • G. James, Small amplitude steady internal waves in stratified fluids, Ann. Univ. Ferrara, Sez VII, Sc. Mat., Vol. XLIII (1997), p. 65-119.

    Original publication available at www.springerlink.com. pdf file