579 citations · 663 across the 6 of their papers we have counts for
6 papers
Comparison of Domain Nucleation Mechanisms in a Minimal Model of Shoot Apical Meristem
Dorjsuren Battogtokh, John J. Tyson
Existing mathematical models of the shoot apical meristem (SAM) explain nucleation and confinement of a stem cell domain by Turing's mechanism, assuming that the diffusion coeffici…
Domain Nucleation and Confinement In Agent Controlled Bistable Systems
Dorjsuren Battogtokh
We report a new mechanism of pattern formation in growing bistable systems coupled indirectly. A modified Fujita et. al. model is studied as an example of a reaction-diffusion syst…
Bifurcation analysis of a model of the budding yeast cell cycle
Dorjsuren Battogtokh, John J. Tyson
We study the bifurcations of a set of nine nonlinear ordinary differential equations that describe the regulation of the cyclin-dependent kinase that triggers DNA synthesis and mit…
Turbulence near cyclic fold bifurcations in birhythmic media
Dorjsuren Battogtokh, John J. Tyson
We show that at the onset of a cyclic fold bifurcation, a birhythmic medium composed of glycolytic oscillators displays turbulent dynamics. By computing the largest Lyapunov expone…
Nonlinear Effects in Site Blocking Induced Oscillations
Dorjsuren Battogtokh, Ravjir Davaanyam
Higher order nonlinear effects of site blocking, which induces oscillations in the Monte Carlo simulation of CO oxidation, are outlined here. It is shown that the rate equations wh…
Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
Yoshiki Kuramoto, Dorjsuren Battogtokh
The phase oscillator model with global coupling is extended to the case of finite-range nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi-cont…