activity
19932021
most citedLocalized States in Discrete Nonlinear Schrödinger Equations

173 citations · 777 across the 17 of their papers we have counts for

collaborators

17 papers

nlin.PS2021★ 2 cited

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…

cond-mat.supr-con2012★ 17 cited

Static and Dynamic Phases for Vortex Matter with Attractive Interactions

J. A. Drocco, C. J. Olson Reichhardt, C. Reichhardt +1

Exotic vortex states with long range attraction and short range repulsion have recently been proposed to arise in superconducting hybrid structures and multi-band superconductors.…

nlin.PS2007★ 3 cited

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…

cond-mat.mtrl-sci2005★ 29 cited

Bistability and Hysteresis in the Sliding Friction of a Dimer

S. Goncalves, C. Fusco, A. Bishop +1

The sliding friction of a dimer moving over a periodic substrate and subjected to an external force is studied in the steady state for arbitrary temperatures within a one-dimension…

nlin.PS2004★ 6 cited

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…

cond-mat.stat-mech2004★ 122 cited

Theory of Bubble Nucleation and Cooperativity in DNA Melting

S. Ares, N. K. Voulgarakis, K. O. Rasmussen +1

The onset of intermediate states (denaturation bubbles) and their role during the melting transition of DNA are studied using the Peyrard-Bishop-Daxuois model by Monte Carlo simula…