Validation and Calibration of Models for Reaction–Diffusion Systems

DOI10.1142/S0218127498000929zbMath1040.65085OpenAlexW2761896684MaRDI QIDQ4936234

Joaquim Sainhas, Rui Dilão

Publication date: 25 January 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127498000929

zbMATH Keywords

stabilityconvergencedifference methodsscaling relation

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (10)

Intermittency in the Hodgkin-Huxley model ⋮ Spatiotemporal dynamics analysis of a semi-discrete reaction-diffusion Mussel-Algae system with advection ⋮ Validation of numerical solution of diffusive part in a reaction-diffusion model ⋮ Supercritical Hopf bifurcation and Turing patterns for an activator and inhibitor model with different sources ⋮ Stripe and Spot Patterns for General Gierer–Meinhardt Model with Common Sources ⋮ Turing instabilities and patterns near a Hopf bifurcation ⋮ The drift of spirals under competitive illumination in an excitable medium ⋮ Hopf Bifurcation in an Oscillatory-Excitable Reaction–Diffusion Model with Spatial Heterogeneity ⋮ Spatiotemporal Complexity Analysis for a Space-Time Discrete Generalized Toxic-Phytoplankton-Zooplankton Model with Self-Diffusion and Cross-Diffusion ⋮ Spatiotemporal Dynamics and Pattern Formations of an Activator-Substrate Model with Double Saturation Terms

Uses Software

• PDE2D

Cites Work

• Implicit-explicit methods for reaction-diffusion problems in pattern formation
• Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media
• Families of High Order Accurate Discretizations of Some Elliptic Problems
• The Dynamics of Scroll Waves in Excitable Media
• Asymptotic Behavior of Excitable Cellular Automata
• SELF-ORGANIZATION IN BIOLOGICAL TISSUES: ANALYSIS OF ASYNCHRONOUS AND SYNCHRONOUS PERIODICITY, TURBULENCE AND SYNCHRONOUS CHAOS EMERGENT IN COUPLED CHAOTIC ARRAYS
• Pattern formation outside of equilibrium
• Stochastic Problems in Physics and Astronomy

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