11 citations · 27 across the 5 of their papers we have counts for
6 papers
Growth Mode Selection of Radially Growing Turing Patterns
Noah H. Somberg, Christopher Konow, Irving R. Epstein +1
We study Turing pattern formation in a system undergoing radial growth in two dimensions. The Lengyel-Epstein two variable model is implemented in COMSOL Multiphysics and solved on…
Predicting economic market crises using measures of collective panic
Dion Harmon, Marcus A. M. de Aguiar, David D. Chinellato +3
Predicting panic is of critical importance in many areas of human and animal behavior, notably in the context of economics. The recent financial crisis is a case in point. Panic ma…
Dynamical Response of Networks under External Perturbations: Exact Results
David D. Chinellato, Marcus A. M. de Aguiar, Irving R. Epstein +2
We introduce and solve a general model of dynamic response under external perturbations. This model captures a wide range of systems out of equilibrium including Ising models of ph…
An analytically solvable model of probabilistic network dynamics
M. A. M. de Aguiar, Irving R. Epstein, Yaneer Bar-Yam
We present a simple model of network dynamics that can be solved analytically for uniform networks. We obtain the dynamics of response of the system to perturbations. The analytica…
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…
Dynamics of One- and Two-dimensional Kinks in Bistable Reaction-Diffusion Equations with Quasi-Discrete Sources of Reaction
Horacio G. Rotstein, Anatol M. Zhabotinsky, Irving R. Epstein
We study the evolution of fronts in a bistable reaction-diffusion system when the nonlinear reaction term is spatially non-homogeneous. This equation has been used to model wave pr…