288 citations · 1.1k across the 43 of their papers we have counts for
5 papers · 1 filter
Robust Approach for Rotor Mapping in Cardiac Tissue
Daniel R. Gurevich, Roman O. Grigoriev
The motion of and interaction between phase singularities that anchor spiral waves captures many qualitative and, in some cases, quantitative features of complex dynamics in excita…
Forecasting Fluid Flows Using the Geometry of Turbulence
Balachandra Suri, Jeffrey Tithof, Roman O. Grigoriev +1
The existence and dynamical role of particular unstable Navier-Stokes solutions (exact coherent structures) is revealed in laboratory studies of weak turbulence in a thin, electrom…
Exact Coherent Structures and Chaotic Dynamics in a Model of Cardiac Tissue
Greg Byrne, Christopher D. Marcotte, Roman O. Grigoriev
Unstable nonchaotic solutions embedded in the chaotic attractor can provide significant new insight into chaotic dynamics of both low- and high-dimensional systems. In particular,…
Implementation of PDE models of cardiac dynamics on GPUs using OpenCL
Christopher D. Marcotte, Roman O. Grigoriev
Graphical processing units (GPUs) promise to revolutionize scientific computing in the near future. Already, they allow almost real-time integration of simplified numerical models…
Instabilities and mixing in two-dimensional Kolmogorov flow
Radford Mitchell, Roman O. Grigoriev
This paper presents results of a theoretical investigation of transport in a numerical model of a two-dimensional Kolmogorov flow. We investigate the changes in its mixing properti…