Chains of oscillators
with local potentials
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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
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G. James, B. Sŕnchez-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
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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
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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.
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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.
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B. Bidégaray-Fesquet, E. Dumas and G. James, From Newton's cradle
to the discrete p-Schrödinger equation, SIAM J. Math. Anal. 45 (2013),
3404-3430.
Original publication available at
epubs.siam.org.
Preprint available on arXiv:
pdf file.
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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.
Networks of oscillators
with Euclidean invariance (including FPU)
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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
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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
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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
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G. Iooss and G. James, Localized waves in nonlinear oscillator chains,
Chaos 15 (2005), 015113.
Original publication available at
www.aip.org.
pdf file
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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
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G. James, P.G. Kevrekidis and J. Cuevas, Breathers in oscillator
chains with Hertzian interactions, Physica D 251 (2013), 39-59.
Original publication available at
www.sciencedirect.com.
pdf file.
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L. Liu, G. James, P. Kevrekidis and A. Vainchtein,
Strongly nonlinear waves in locally resonant granular chains,
Nonlinearity 29 (2016), 3496-3527.
Original publication available at
iop.org.
Preprint available on arXiv:
pdf file.
Discrete nonlinear Schrödinger equations
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J. Cuevas, G. James, P. Kevrekidis, B. Malomed and B. Sŕnchez-Rey,
Approximation of solitons in the discrete NLS equation,
Journal of Nonlinear Mathematical Physics 15, supplement 3
(2008), 124-136.
Original publication available at
www.tandfonline.com.
pdf file
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B. Bidégaray-Fesquet, E. Dumas and G. James, From Newton's cradle
to the discrete p-Schrödinger equation, SIAM J. Math. Anal. 45 (2013),
3404-3430.
Original publication available at
epubs.siam.org.
Preprint available on arXiv:
pdf file.
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G. James and Y. Starosvetsky, Breather solutions of the discrete
p-Schrödinger equation, in Localized Excitations in Nonlinear Complex
Systems, Eds. R. Carretero-Gonzalez, J. Cuevas-Maraver, D.
Frantzeskakis, N. Karachalios, P. Kevrekidis, F. Palmero-Acebedo,
Nonlinear Systems and Complexity 7 (2014), 77-115, Springer.
Original publication available at
link.springer.com.
Preprint available on arXiv:
pdf file.
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