Turing Instability and Hopf Bifurcation in Cellular Neural Networks

DOI10.1142/S0218127421501431zbMath1471.34094OpenAlexW3173259898MaRDI QIDQ4997497

Zunxian Li, Cheng-yi Xia

Publication date: 29 June 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421501431

zbMATH Keywords

Hopf bifurcationcellular neural networkTuring instabilitydecoupling method

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Circuits in qualitative investigation and simulation of models (94C60)

Related Items (3)

Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions ⋮ Chaotic behavior in diffusively coupled systems ⋮ Spreading speeds of cellular neural networks model with time delay

Uses Software

• CNN

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