299 citations · 1k across the 57 of their papers we have counts for
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Classification of strongly non-hyperbolic critical points of planar second-order chemical reaction systems
Norm Yeung, Radek Erban
The dynamics of chemical reaction systems with two chemical species can be described (under mass-action kinetics) by planar autonomous systems of ordinary differential equations (O…
Impact of memory on clustering in spontaneous particle aggregation
Radek Erban, Jan Haskovec
The effect of short-term and long-term memory on spontaneous aggregation of organisms is investigated using a stochastic agent-based model. Each individual modulates the amplitude…
Planar chemical reaction systems with algebraic and non-algebraic limit cycles
Gheorghe Craciun, Radek Erban
The Hilbert number is defined as the maximum number of limit cycles of a planar autonomous system of ordinary differential equations (ODEs) with right-hand sides containing…
Chemical systems with limit cycles
Radek Erban, Hye-Won Kang
The dynamics of a chemical reaction network (CRN) is often modelled under the assumption of mass action kinetics by a system of ordinary differential equations (ODEs) with polynomi…
Limiting stochastic processes of shift-periodic dynamical systems
Julia Stadlmann, Radek Erban
A shift-periodic map is a one-dimensional map from the real line to itself which is periodic up to a linear translation and allowed to have singularities. It is shown that iterativ…
Chemical Reaction Systems with a Homoclinic Bifurcation: an Inverse Problem
Tomislav Plesa, Tomas Vejchodsky, Radek Erban
An inverse problem framework for constructing reaction systems with prescribed properties is presented. Kinetic transformations are defined and analysed as a part of the framework,…