Global Bifurcation Map of the Homogeneous States in the Gray–Scott Model

DOI10.1142/S0218127417300245zbMath1370.34084arXiv1702.03353OpenAlexW2736491914MaRDI QIDQ5357137

L. I. Hernández-Martínez, Joaquín Delgado, Javier Pérez-López

Publication date: 14 September 2017

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

Full work available at URL: https://arxiv.org/abs/1702.03353

zbMATH Keywords

Takens-Bogdanov bifurcationGray-Scott modelBautin bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Analyzing Pattern Formation in the Gray--Scott Model: An XPPAUT Tutorial ⋮ Phase portraits and bifurcation diagram of the Gray-Scott model ⋮ High-Order Analysis of Global Bifurcations in a Codimension-Three Takens–Bogdanov Singularity in Reversible Systems

Cites Work

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• Numerical study of pattern formation in an extended Gray-Scott model
• Elements of applied bifurcation theory.
• FROM FIRST LYAPUNOV COEFFICIENTS TO MAXIMAL CANARDS
• WAVE-SPLITTING IN THE BISTABLE GRAY-SCOTT MODEL

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