Dynamics Analysis in a Gierer–Meinhardt Reaction–Diffusion Model with Homogeneous Neumann Boundary Condition

DOI10.1142/S0218127419300258zbMath1423.35174OpenAlexW2970065337WikidataQ127280235 ScholiaQ127280235MaRDI QIDQ5197642

Yajun Ding, Cun-Hua Zhang, Xiang-Ping Yan

Publication date: 19 September 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127419300258

zbMATH Keywords

periodic solutionsasymptotic stabilityHopf bifurcationreaction-diffusion systemTuring instabilityGierer-Meinhardt model

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32) Inertial manifolds (35B42) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Hopf Bifurcation Analysis in a Gierer–Meinhardt Activator–Inhibitor Model ⋮ Analysis of the Hopf bifurcation in a diffusive Gierer-Meinhardt model ⋮ Global existence and blowup solutions for the Gierer-Meinhardt system ⋮ Pattern Dynamics in a Diffusive Gierer–Meinhardt Model

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