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)

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)

Vulnerabilities related to weak passwords are a pressing global economic and security issue. We report a novel, simple, and effective approach to address the weak password problem. Building uponâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2001

We study thermal relaxation in ordered arrays of coupled nonlinear elements with external driving. We find that our model exhibits dynamic self-organization manifested in a universalâ€¦ (More)

â€“ A method is proposed for obtaining a systematic expansion of thermodynamic functions of spin systems with large spin S in powers of 1/S. It uses the cumulant technique and a coherent-stateâ€¦ (More)

We report a theoretical analysis of intrinsic localized modes in a quasi-onedimensional charge-transfer-solid [Pt(en)2][Pt(en)2Cl2](ClO4)4(PtCl). We discuss strongly nonlinear features of resonantâ€¦ (More)

We formulate the calculation of the ground-state wavefunction and energy of a system of strongly correlated electrons in terms of scattering matrices. A hierarchy of approximations is introducedâ€¦ (More)

Cumulants represent a natural language for expressing macroscopic properties of a solid. We show that cumulants are subject to a nontrivial geometry. This geometry provides an intuitive understandingâ€¦ (More)

It is proven that the lowest excitations Elow(k) of one-dimensional halfinteger spin generalized Heisenberg models and half-filled extended Hubbard models are Ï€-periodic functions. For Hubbard modelsâ€¦ (More)