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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 onâ€¦ (More)

- Bishwajyoti Dey, Maria Eleftheriou, Sergej Flach, G. P. Tsironis
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

We study the spatial decay profile of compactlike discrete breathers in nonlinear dispersive lattices. We show that the core region of such nonlinear localized excitations can be described by aâ€¦ (More)

- Sergej Flach, D. O. Krimer, Ch Skokos
- Physical review letters
- 2009

In the absence of nonlinearity all eigenmodes of a chain with disorder are spatially localized (Anderson localization). The width of the eigenvalue spectrum and the average eigenvalue spacing insideâ€¦ (More)

- Sergej Flach, Yaroslav Christiansen Zolotaryuk, K. Kladko
- Physical review. E, Statistical physics, plasmasâ€¦
- 1999

We develop a general mapping from given kink or pulse shaped traveling-wave solutions including their velocity to the equations of motion on one-dimensional lattices which support these solutions. Weâ€¦ (More)

- Georgios Kopidakis, Stavros Komineas, Sergej Flach, S. Aubry
- Physical review letters
- 2008

We study the spreading of an initially localized wave packet in two nonlinear chains (discrete nonlinear SchrÃ¶dinger and quartic Klein-Gordon) with disorder. Previous studies suggest that there areâ€¦ (More)

- Sergej Flach, A Gorbach
- Chaos
- 2005

We study the properties of spatially localized and time-periodic excitations--discrete breathers--in Fermi-Pasta-Ulam (FPU) chains. We provide a detailed analysis of their spatial profiles andâ€¦ (More)

- Sergej Flach, Andrey E Miroshnichenko, M V Fistul
- Chaos
- 2003

We present a theoretical study of linear wave scattering in one-dimensional nonlinear lattices by intrinsic spatially localized dynamic excitations or discrete breathers. These states appear inâ€¦ (More)

- Oleg M Yevtushenko, Sergej Flach, Klaus Richter
- Physical review. E, Statistical physics, plasmasâ€¦
- 2000

We study directed diffusion of a particle in a periodic symmetric potential under the influence of a time-periodic external field. The field lowers the symmetry of the phase space flow which resultsâ€¦ (More)

- Sergej Flach
- 1995

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 the newâ€¦ (More)

- Ch Skokos, D. O. Krimer, S Komineas, Sergej Flach
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

We consider the spatiotemporal evolution of a wave packet in disordered nonlinear SchrÃ¶dinger and anharmonic oscillator chains. In the absence of nonlinearity all eigenstates are spatially localizedâ€¦ (More)