26 citations · 31 across the 7 of their papers we have counts for
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Using the Continuous Spectrum to "Feel" Integrability: the Effect of Boundary Conditions
Panayotis G. Kevrekidis, Niurka R. Quintero
The scope of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or differential difference equation (DDE). For monoparametric…
Deciding the Nature of the "Coarse Equation" through Microscopic Simulations: the Baby-Bathwater Scheme
Ju Li, Panayotis G. Kevrekidis, C. William Gear +1
Recent developments in multiscale computation allow the solution of ``coarse equations'' for the expected macroscopic behavior of microscopically/stochastically evolving particle d…
Breathers on a Background: Periodic and Quasiperiodic Solutions of Extended Discrete Nonlinear Wave Systems
P. G. Kevrekidis, M. I. Weinstein
In this paper we investigate the emergence of time-periodic and and time-quasiperiodic (sometimes infinitely long lived and sometimes very long lived or metastable) solutions of di…