ANALYTICAL CRITERIA FOR LOCAL ACTIVITY OF REACTION–DIFFUSION CNN WITH FOUR STATE VARIABLES AND APPLICATIONS TO THE HODGKIN–HUXLEY EQUATION

DOI10.1142/S0218127400000876zbMath1090.37568MaRDI QIDQ5474101

Lequan Min, Leon O. Chua, Kenneth R. Crounse

Publication date: 23 June 2006

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

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

• CNN: A Vision of Complexity
• Visions of Synergetics
• Passivity and complexity
• Edge of Chaos and Local Activity Domain of FitzHugh-Nagumo Equation
• Edge of Chaos and Local Activity Domain of the Brusselator CNN
• Edge of Chaos and Local Activity Domain of the Gierer–Meinhardt CNN
• ANALYTICAL CRITERIA FOR LOCAL ACTIVITY AND APPLICATIONS TO THE OREGONATOR CNN