Spatiotemporal Dynamics in Reaction–Diffusion Neural Networks Near a Turing–Hopf Bifurcation Point

DOI10.1142/S0218127419501542zbMath1430.35027OpenAlexW2981231680WikidataQ110650873 ScholiaQ110650873MaRDI QIDQ5237519

Xiaohong Tian, Jiazhe Lin, Rui Xu

Publication date: 18 October 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127419501542

zbMATH Keywords

neural networknormal formspatial diffusionTuring-Hopf bifurcationspatially inhomogeneous periodic solution

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Bifurcations in context of PDEs (35B32) Inertial manifolds (35B42) Second-order parabolic systems (35K40) Pattern formations in context of PDEs (35B36)

Related Items (4)

Almost periodic dynamics in a new class of impulsive reaction-diffusion neural networks with fractional-like derivatives ⋮ Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model ⋮ Spatiotemporal dynamics on a class of \((n+1)\)-dimensional reaction-diffusion neural networks with discrete delays and a conical structure ⋮ Bifurcations in 2D Spatiotemporal Maps

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