F
Frits Veerman
Researcher at Leiden University
Publications - 18
Citations - 233
Frits Veerman is an academic researcher from Leiden University. The author has contributed to research in topics: Reaction–diffusion system & Singular perturbation. The author has an hindex of 7, co-authored 18 publications receiving 189 citations. Previous affiliations of Frits Veerman include University of Edinburgh & Michigan State University.
Papers
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Journal ArticleDOI
An Explicit Theory for Pulses in Two Component, Singularly Perturbed, Reaction–Diffusion Equations
Arjen Doelman,Frits Veerman +1 more
TL;DR: In this article, an explicit theory for pulses in two-component singularly perturbed reaction-diffusion equations is presented, which significantly extends and generalizes existing methods, especially in the stability and bifurcation analysis.
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Breathing pulses in singularly perturbed reaction-diffusion systems
TL;DR: In this article, a general framework to obtain leading order expressions for the (Hopf) centre manifold expansion for scale separated, localised structures is presented using the scale separated structure of the underlying pulse, directly calculating the Hopf normal form coefficients in terms of solutions to classical Sturm-Liouville problems.
Journal ArticleDOI
Pulses in a Gierer--Meinhardt Equation with a Slow Nonlinearity
Frits Veerman,Arjen Doelman +1 more
TL;DR: This system is an explicit example of a general class of singularly perturbed, two component reaction-diffusion equations that goes significantly beyond well-studied model systems such as Gray-Scott and Gierer-Meinhardt.
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Quasiperiodic phenomena in the Van der Pol-Mathieu equation
Frits Veerman,Ferdinand Verhulst +1 more
TL;DR: In this article, the Van der Pol-Mathieu equation was analyzed near and at 1:2 resonance using the averaging method, and it was shown that above a certain detuning threshold, quasiperiodic solutions arise with basic periods of order 1 and order 1/e where e is the small detuning parameter.
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A Predator--2 Prey Fast--Slow Dynamical System for Rapid Predator Evolution
TL;DR: In this article, the authors consider adaptive change of diet of a predator population that switches its feeding between two prey populations and develop a 1 fast-3 slow dynamical system to describe the dynamics of the three populations amidst continuous but rapid evolution of the predator's diet choice.