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Fano resonances in nanoscale structures
Modern nanotechnology allows one to scale down various important devices (sensors, chips, fibers, etc.) and thus opens up new horizons for their applications. The efficiency of most of them is basedExpand
Discrete breathers — Advances in theory and applications
Nonlinear classical Hamiltonian lattices exhibit generic solutions — discrete breathers. They are time-periodic and (typically exponentially) localized in space. The lattices have discreteExpand
Discrete Breathers
Nonlinear classical Hamiltonian lattices exhibit generic solutions in the form of discrete breathers. These solutions are time-periodic and (typically exponentially) localized in space. The latticesExpand
Universal spreading of wave packets in disordered nonlinear systems.
TLDR
In the absence of nonlinearity all eigenmodes of a chain with disorder are spatially localized (Anderson localization), and an initially localized wave packet spreads in the presence of non linearity. Expand
Delocalization of wave packets in disordered nonlinear chains.
TLDR
The spatiotemporal evolution of a wave packet in disordered nonlinear Schrödinger and anharmonic oscillator chains and the properties of mode-mode resonances are investigated, which are responsible for the incoherent delocalization process. Expand
Energy thresholds for discrete breathers in one-, two- and three-dimensional lattices
Discrete breathers are time-periodic, spatially localized solutions of equations of motion for classical degrees of freedom interacting on a lattice. They come in one-parameter families. We report onExpand
The crossover from strong to weak chaos for nonlinear waves in disordered systems
We observe a crossover from strong to weak chaos in the spatiotemporal evolution of multiple-site excitations within disordered chains with cubic nonlinearity. Recent studies have shown that AndersonExpand
Tangent bifurcation of band edge plane waves, dynamical symmetry breaking and vibrational localization
  • S. Flach
  • Mathematics, Physics
  • 25 September 1995
Abstract We study tangent bifurcation of band edge plane waves in nonlinear Hamiltonian lattices. The lattice is translationally invariant. We argue for the breaking of permutational symmetry by theExpand
q-Breathers and the Fermi-Pasta-Ulam problem.
TLDR
Normal modes from the harmonic limit into the FPU parameter regime are continued and persistence of these periodic orbits are obtained, termed here q-breathers (QB), characterized by time periodicity, exponential localization in the q-space of normal modes and linear stability up to a size-dependent threshold amplitude. Expand
Periodically driven quantum ratchets: Symmetries and resonances
We study the quantum version of a tilting and flashing Hamiltonian ratchet, consisting of a periodic potential and a time-periodic driving field. The system dynamics is governed by a FloquetExpand
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