Statistical mechanics of a nonlinear model for DNA denaturation, Phys. Rev. Lett, vol.62, p.2755, 1989. ,
Nonlinear dynamics and statistical physics of DNA, Nonlinearity, vol.17, pp.1-40, 2004. ,
Entropy-driven DNA denaturation, Phys. Rev. E, vol.47, issue.1, pp.44-47, 1993. ,
Discrete Breathers: Advances in Theory and Applications, Phys. Rep, vol.467, pp.1-116, 2008. ,
Modulational instability: First step towards energy localization in nonlinear lattices, Nonlinearity, vol.10, pp.617-630, 1997. ,
Discrete breathers in transient processes and thermal equilibrium, Phys. D, vol.198, pp.120-135, 2004. ,
Periodic motions of an infinite lattice of particles: The strongly indefinite case, Ann. Sci. Math. Que´bec, vol.22, pp.97-119, 1998. ,
Breathers in nonlinear lattices: Existence, linear stability and quantization, Phys. D, vol.103, pp.201-250, 1997. ,
Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems, Discrete Contin. Dyn. Syst. B, vol.1, pp.271-298, 2001. ,
Centre manifold reduction for quasilinear discrete systems, J. Nonlinear Sci, vol.13, pp.27-63, 2003. ,
Breathers in inhomogeneous lattices: An analysis via center manifold reduction, Rev. Math. Phys, vol.21, pp.1-59, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00389846
Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators, Nonlinearity, vol.7, pp.1623-1643, 1994. ,
Travelling waves and Periodic Oscillations in Fermi-Pasta-Ulam Lattices, 2005. ,
Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators, Nonlinearity, vol.10, pp.679-713, 1997. ,
Localization of periodic oscillations in discrete non-linear systems, J. Sound Vibration, vol.193, p.847, 1996. ,
Modelling DNA at the mesoscale: A challenge for nonlinear science?, Nonlinearity, vol.21, pp.91-100, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00390029
Nonlinear analysis of the dynamics of DNA breathing, J. Biol. Phys, vol.35, pp.73-89, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00389844
Periodic solutions of second order Hamiltonian systems bifurcating from infinity, Ann. Inst. Henri Poincare´(C) Anal. Non Line´aire, vol.24, issue.3, pp.471-490, 2007. ,
Breather Mobility in Discrete 4 Nonlinear Lattices, Phys. Rev. Lett, vol.77, pp.4776-4779, 1996. ,
Spatially inhomogeneous time-periodic propagating waves in anharmonic systems, Phys. Rev. B, vol.55, pp.11929-11932, 1997. ,
Breather-phonon resonances in finite-size lattices: 'Phantom breathers'?, J. Phys. A: Math. Gen, vol.35, pp.1-23, 2002. ,
Chaotic trajectories in the standard map, The concept of antiintegrability, Phys. D, vol.43, pp.199-219, 1990. ,
Anti-integrability in dynamical and variational problems, Physica D, vol.86, pp.284-296, 1995. ,
Discrete maximum principle for finite-difference operators, Aequationes Math, vol.4, pp.338-352, 1970. ,
, Ordinary Differential Equations, 1992.
Perturbation Theory for Linear Operators, 1980. ,
, Ordinary Differential Equations with Applications, vol.34, 1999.
Breathers in nonlinear lattices: Numerical calculation from the anticontinuous limit, Nonlinearity, vol.9, pp.1501-1528, 1996. ,
Numerical methods for unconstrained optimization and nonlinear equations, Classics in Applied Mathematics, vol.16, 1996. ,