DOI10.1137/S1111111102405719zbMath1088.35517MaRDI QIDQ4706172
Tasso J. Kaper, Arjen Doelman
Publication date: 19 June 2003
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Existence of traveling waves of general Gray-Scott models,
Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains,
Axisymmetric ring solutions of the 2D Gray-Scott model and their destabilization into spots,
Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation,
Homoclinic bifurcations at the onset of pulse self-replication,
Dynamics of two interfaces in a hybrid system with jump-type heterogeneity,
Hopf bifurcation analysis in a one-dimensional Schnakenberg reaction-diffusion model,
Bifurcation analysis and spatiotemporal patterns in delayed Schnakenberg reaction-diffusion model,
Striped pattern selection by advective reaction-diffusion systems: Resilience of banded vegetation on slopes,
Arbitrarily weak head-on collision can induce annihilation: the role of hidden instabilities,
Hotspot formation and dynamics for a continuum model of urban crime,
On localised hotspots of an urban crime model,
The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space,
Interactions of solitary pulses of \textit{E. coli} in a one-dimensional nutrient gradient,
Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media,
The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime,
Mathematical modeling of time fractional reaction-diffusion systems,
Competition instabilities of spike patterns for the 1D Gierer–Meinhardt and Schnakenberg models are subcritical,
The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction-diffusion systems,
The semistrong limit of multipulse interaction in a thermally driven optical system,
Butterfly catastrophe for fronts in a three-component reaction-diffusion system,
Destabilization Mechanisms of Periodic Pulse Patterns Near a Homoclinic Limit,
Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system,
Pulse dynamics in a three-component system: Stability and bifurcations,
Oscillatory instabilities and dynamics of multi-spike patterns for the one-dimensional Gray-Scott model,
A Geometric Approach to Stationary Defect Solutions in One Space Dimension,
Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients,
Stationary and slowly moving localised pulses in a singularly perturbed Brusselator model,
Geometric singular perturbation theory in biological practice,
Transition to blow-up in a reaction–diffusion model with localized spike solutions,
The stability of localized spikes for the 1-D Brusselator reaction–diffusion model,
Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches,
Bistability, wave pinning and localisation in natural reaction-diffusion systems