67 citations · 169 across the 13 of their papers we have counts for
5 papers · 1 filter
Chaos in a non-autonomous nonlinear system describing asymmetric water wheels
Ashish Bhatt, Robert A. Van Gorder
We use physical principles to derive a water wheel model under the assumption of an asymmetric water wheel for which the water inflow rate is in general unsteady (modeled by an arb…
Coupled complex Ginzburg-Landau systems with saturable nonlinearity and asymmetric cross-phase modulation
Robert A. Van Gorder, Andrew L. Krause, Ferran Brosa Planella +1
We formulate and study dynamics from a complex Ginzburg-Landau system with saturable nonlinearity, including asymmetric cross-phase modulation (XPM) parameters. Such equations can…
Bifurcations and dynamics emergent from lattice and continuum models of bioactive porous media
Andrew L. Krause, Dmitry Beliaev, Robert A. Van Gorder +1
We study dynamics emergent from a two-dimensional reaction--diffusion process modelled via a finite lattice dynamical system, as well as an analogous PDE system, involving spatiall…
Lattice and Continuum Modelling of a Bioactive Porous Tissue Scaffold
Andrew L. Krause, Dmitry Beliaev, Robert A. Van Gorder +1
A contemporary procedure to grow artificial tissue is to seed cells onto a porous biomaterial scaffold and culture it within a perfusion bioreactor to facilitate the transport of n…
Opinion formation and distribution in a bounded confidence model on various networks
X. Flora Meng, Robert A. Van Gorder, Mason A. Porter
In the social, behavioral, and economic sciences, it is an important problem to predict which individual opinions will eventually dominate in a large population, if there will be a…