45 citations · 54 across the 3 of their papers we have counts for
3 papers
Anomalous relaxation and self-organization in non-equilibrium processes
Ibrahim Fatkullin, Konstantin Kladko, Igor Mitkov +1
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 univer…
Dynamics of Kinks in One- and Two- Dimensional Hyperbolic Models with Quasi-Discrete Nonlinearities
Horacio G. Rotstein, Anatol Zhabotinsky, Irving Epstein
We study the evolution of fronts in the Klein-Gordon equation when the nonlinear term is non-homogeneous. Extending previous works on homogeneous nonlinear terms, we describe the d…
Universal Scaling of Wave Propagation Failure in Arrays of Coupled Nonlinear Cells
Konstantin Kladko, Igor Mitkov, A. R. Bishop
We study the onset of the propagation failure of wave fronts in systems of coupled cells. We introduce a new method to analyze the scaling of the critical external field at which f…