173 citations · 777 across the 17 of their papers we have counts for
5 papers · 1 filter
Measurement and Memory in the Periodically Driven Complex Ginzburg-Landau equation
T. Mithun, P. G. Kevrekidis, A. Saxena +1
In the present work we illustrate that classical but nonlinear systems may possess features reminiscent of quantum ones, such as memory, upon suitable external perturbation. As our…
On the Emergence of Unstable Modes in an Expanding Domain for Energy-Conserving Wave Equations
K. J. H. Law, P. G. Kevrekidis, D. J. Frantzeskakis +1
Motivated by recent work on instabilities in expanding domains in reaction-diffusion settings, we propose an analog of such mechanisms in energy-conserving wave equations. In parti…
Nonlinear Lattices Generated from Harmonic Lattices with Geometric Constraints
S. Takeno, S. V. Dmitriev, P. G. Kevrekidis +1
Geometrical constraints imposed on higher dimensional harmonic lattices generally lead to nonlinear dynamical lattice models. Helical lattices obtained by such a procedure are show…
Scattering of a solitary pulse on a local defect or breather
Panayotis G. Kevrekidis, Boris A. Malomed, H. E. Nistazakis +3
A model is introduced to describe guided propagation of a linear or nonlinear pulse which encounters a localized nonlinear defect, that may be either static or breather-like one (t…
Analytic solutions for nonlinear waves in coupled reacting systems
G. Abramson, A. R. Bishop, V. M. Kenkre
We analyze a system of reacting elements harmonically coupled to nearest neighbors in the continuum limit. An analytic solution is found for traveling waves. The procedure is used…