Networks near the anticontinuum (weak coupling) limit


    Continuation from infinity for localized equilibria, breathers and solitary waves


  • M. Peyrard, S. Cuesta-Lopez and G. James, Nonlinear analysis of the dynamics of DNA breathing, Journal of Biological Physics 35 (2009), 73-89.

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


  • G. James, A. Levitt and C. Ferreira, Continuation of discrete breathers from infinity in a nonlinear model for DNA breathing, Applicable Analysis 89 (2010), 1447-1465.

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


  • M. Peyrard and G. James, Intrinsic localized modes in nonlinear models inspired by DNA, Nonlinear Theory and its Applications (NOLTA), Vol. 3 (2012), 27-51.

    Original publication available at www.nolta.ieice.org. pdf file


  • G. James and D. Pelinovsky, Breather continuation from infinity in nonlinear oscillator chains, Discrete and Continuous Dynamical Systems A 32 (2012), 1775-1799.

    Original publication available at www.aimsciences.org. Preprint available on arXiv: pdf file.


  • J.E. Morales, G. James and A. Tonnelier, Solitary waves in the excitable Burridge-Knopoff model, Wave Motion 76 (2018), 103-121.

    Original publication available at www.sciencedirect.com. Preprint available on: HAL.



    Fronts in a bistable system


  • J.E. Morales, G. James and A. Tonnelier, Traveling waves in a spring-block chain sliding down a slope, Phys. Rev. E 96, 012227 (2017).

    Original publication available at aps.org. Preprint available on HAL: pdf file.



    Time-periodic oscillations in a chain of impact oscillators


  • G. James, V. Acary and F. Pérignon, Periodic motions of coupled impact oscillators, to appear in Advanced Topics in Nonsmooth Dynamics: Transactions of the European Network for Nonsmooth Dynamics, R. Leine, V. Acary and O. Brüls, Eds., Springer (2018).

    Preprint available on: HAL.



    Strongly nonlinear lattices, breathers and surface modes with superexponential decay


  • G. James, J. Cuevas and P.G. Kevrekidis, Breathers and surface modes in oscillator chains with Hertzian interactions, Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications (NOLTA 2012), Palma, Majorca, Spain, 22-26 Oct. 2012, p. 470-473.

    Preprint available on arXiv: pdf file.



    Vortices in discrete cubic NLS


  • J. Cuevas, G. James, P. Kevrekidis and K. Law, Vortex solutions of the discrete Gross-Pitaevskii equation starting from the anti-continuum limit, Physica D 238 (2009), 1422-1431.

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



    Periodic and relative periodic orbits in Euclidean-invariant Hamiltonian systems


  • G. James and P. Noble, Weak coupling limit and localized oscillations in Euclidean invariant Hamiltonian systems, J. Nonlinear Sci. 18 (2008), p. 433-461.

    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, Ann. IHP, Analyse non linéaire 26 (2009), 1237-1264.

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