Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations - MaRDI portal

Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations

From MaRDI portal
Publication:4706172

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)




Related Items

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


Uses Software