Publications and preprints

(sorted by topic)

Publications in international journals

Internal travelling waves in density stratified fluids (Euler equation) : existence theorems, convergence near a singular two-layer limit

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

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

Center manifold theorem for infinite-dimensional maps (James, J. Nonlinear Sci. 2003)
Applications : existence theorems for time-periodic localized waves (breathers) and dark solitons in oscillator chains

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, 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 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, B. Sànchez-Rey and J. Cuevas, Breathers in inhomogeneous lattices : an analysis via centre manifold reduction (2007), 57 pages.
    Submitted. pdf file

Systems of advance-delay differential equations
Existence theorems for oscillating solitary waves (travelling breathers) in oscillator chains

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

Numerical studies of localized structures (stationary or travelling breathers, dark solitons, vortices) in spatially discrete systems, and their approximations

B. Sanchez-Rey, G. James, J. Cuevas and J.F.R. Archilla, Bright and dark breathers in Fermi-Pasta-Ulam lattices, Phys. Rev. B 70, 014301 (2004).
    Original publication available at www.aps.org. pdf file

Y. Sire and G. James, Numerical computation of travelling breathers in Klein-Gordon chains, Physica D 204 (2005), p. 15-40.
    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

J. Cuevas, G. James, P. Kevrekidis, B. Malomed and B. Sànchez-Rey, Approximation of solitons in the discrete NLS equation (2007), 12 pages.
    Submitted. pdf file

J. Cuevas, G. James, P. Kevrekidis and K. Law, Vortex solutions of the discrete Gross-Pitaevskii equation (2008), 14 pages.
    Submitted. pdf file

Periodic and relative periodic orbits in Euclidean-invariant Hamiltonian systems, classical Hamiltonians for planar molecules and atomic clusters

G. James and P. Noble, Weak coupling limit and localized oscillations in Euclidean invariant Hamiltonian systems,
    J. Nonlinear Sci., DOI 10.1007/s00332-008-9018-x (2008), 29 pages.
         Original publication available at www.springerlink.com. pdf file

G. James, P. Noble and Y. Sire, Continuation of relative periodic orbits in a class of triatomic Hamiltonian systems (2008), 41 pages.
    Submitted. pdf file

Nonlinear dynamics of DNA

M. Peyrard, S. Cuesta-Lopez and G. James, Nonlinear analysis of the dynamics of DNA breathing (2007), 14 pages.
    Submitted. pdf file

M. Peyrard, S. Cuesta-Lopez and G. James, Modelling DNA at the mesoscale : a challenge for nonlinear science ? (2008), 11 pages.
    Submitted. pdf file

Review paper (chapter in book)

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

Habilitation thesis

G. James, Ondes non linéaires en milieu discret, mémoire d'habilitation à diriger des recherches, université Paul Sabatier Toulouse 3 (Décembre 2005).
Manuscript (in french) : pdf file

Conference proceedings

[1] G. James, Passage a la limite vers un modele a deux couches dans le probleme des ondes progressives 2D en fluide continument stratifie, 2ieme Rencontre du Non-Lineaire, IHP, Paris, Mars 1999, Y. Pomeau, R. Ribotta Eds., Paris-Onze editions (1999), p. 125-130.

[2] B. Sanchez-Rey, J.F.R. Archilla, G. James and J. Cuevas, Breathers in FPU systems, near and far from the phonon band, 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. 342-343.

[3] G. James and P. Noble, Breathers on diatomic FPU chains with arbitrary masses, 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. 225-232.

[4] 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.

[5] Y. Sire and G. James, Ondes solitaires pulsatoires en milieu discret, 8ieme Rencontre du Non-Lineaire, IHP, Paris, 9-11 March 2005, R. Ribotta Ed., editions Non Lineaire Publications (2005), p. 247-252.