* Resonances, Radiation Damping, and Instability of
Hamiltonian Nonlinear Waves
(with A. Soffer)
Inventiones Mathematicae ,
Volume 136 (1999) 9-74.
* Nonautonomous Hamiltonians
(with A. Soffer)
Journal of Statistical Physics,
Volume 93 (1998) 524-545.
* Time Dependent Resonance Theory
(with A. Soffer)
Geometrical and Functional Analysis,
Volume 8 (1998) 1086-1128.
* Excitation Thresholds for Nonlinear Localized Modes on Lattices
Nonlinearity Volume 12 (1999) 673-691.
* Ionization and Scattering for Short Lived Potentials
(with A. Soffer)
Letters in Mathematical Physics Volume 48 (1999) 339-352
* Radiation induced instability in interconnected systems
(with A. Bloch and P. Hagerty)
Proc. of the 38th
Conf. on Decisions and Control, IEEE
* Metastability of Breather Modes of Time Dependent Potentials (pdf)
(with P.D. Miller and A. Soffer)
Nonlinearity Volume 13 (2000) 507-568.
* Dynamics of lattice kinks
(with P. Kevrekidis)
Physica D Volume 142 (2000) 113-152.
* Breathers on a Background: Periodic and Quasiperiodic Solutions of Extended
Discrete Nonlinear Wave Systems
(with P. Kevrekidis)
to appear in the Special Issue of Mathematics and Computers
in Simulation dedicated to the 2nd IMACS Nonlinear Waves Conference
* Parametrically excited Hamiltonian Partial Differential
Equations
(with E. Kirr)
SIAM J. Math. Anal. Volume 33 (2001) 16-52.
* Nonlinear propagation of light in one-dimensional periodic structures
(with R. Goodman and P. Holmes)
J. Nonlinear Sci. Volume 11 (2001) 123-168.
* Theory of nonlinear pulse propagation periodic structures
(with A. Aceves and C.M. de Sterke)
Nonlinear Photonic Crystals,
B. Eggleton and
R.E. Slusher, eds. Springer Verlag
* Mathematical Frontiers in Optical Solitons (pdf)
* Stopping light on a defect (pdf)
*
Interaction of sine-Gordon kinks with defects:
Phase space transport in a two-mode model
* Metastable states in parametrically excited multimode Hamiltonian systems
* Selection of the ground state for nonlinear Schroedinger equations
* Radiation induced instability
*
Interaction of NLS solitons with defects: Numerical experiments and
finite dimensional modeling
*
Homogenization expansion for resonances of microstructured photonic waveguides
*
Gyroscopically stabilized classical and quantum oscillators and heat baths
(with J. Bronski and M. Segev)
Proc. Natl. Acad. Sci. USA
Volume 98 No. 23 (2001) 12872-12873.
Errata
(with R.H. Goodman and R.E. Slusher)
Journal of the Optical Society B Volume 19 No. 7 (2002) 1635-1652.
Errata (reference numbering)
(with R.H. Goodman and P.J. Holmes)
Physica D, Volume 161 (2002) 21-44
(with E. Kirr)
Commun. Math. Phys., Volume 236, 335-372 (2003)
(with A. Soffer)
to appear in Reviews in Mathematical Physics,
arXiv.org/abs/nlin/0308020
(with P. Hagerty and A.M. Bloch)
SIAM J. Appl. Math. Volume 64, No. 2 484--524 (2003)
(with P.J. Holmes and R.H. Goodman)
Invited paper for Mathematics as a Guide to the Understanding
of Applied Nonlinear Problems, a conference in honor of Klaus
Kirchg\"{a}ssner's 70th birthday, Kloster Irsee, Germany, Jan 6-10, 2002,
(with S. Golowich)
Journal of the Optical Society of America B, volume 20, No. 4, 633-647,
2003
(with A.M. Bloch, P. Hagerty and A.G. Rojo)
J. Stat. Phys, 115, 1073-1100 (2004)
*
Resonances of microstructured photonic waveguides and
higher order homogenization expansion
(with S. Golowich)
Physica B, Volume 338 136-142 (2003)
*
Theory and computation of scattering resonances of microstuctures
(with S. Golowich)
Waves in Periodic and Random Media, ed. P. Kuchment,
Contemporary Mathematics volume 339
(2003) AMS
*
Strong NLS Soliton-Defect Interactions
(with R.H. Goodman and P.J. Holmes)
Physica D 161, 21-44 (2004)
*
A reaction dispersion system and Raman interactions
(with V. Zharnitsky)
to appear in SIAM J. Math. Analysis
*
Scattering resonances of microstructures and homogenization theory
(with S. Golowich)
to appear in SIAM Journal on Multiscale Modeling and Simulation
*
Diffusion of power in randomly
perturbed Hamiltonian partial differential equations
(with E. Kirr)
to appear in Communications in Mathematical Physics
*
Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii
Equation
(with R.K. Jackson)
J. Stat. Physics volume 116 881-905 (2004)
*
Extended Hamiltonian Systems
to appear in Handbook of Dynamical Systems, eds. B. Hasselblatt and A. Katok,
volume 1B, North Holland, 2005
*
Spontaneous Symmetry Breaking in Photonic Lattices: Theory and Experiment
(with P.G. Kevrekidis, Z. Chen, B.A. Malomed and D.J. Frantzeskakis)
submitted