SOME ANALYTICAL CRITERIA FOR LOCAL ACTIVITY OF TWO-PORT CNN WITH THREE OR FOUR STATE VARIABLES: ANALYSIS AND APPLICATIONS

DOI10.1142/S0218127402004826zbMath1044.37055OpenAlexW2122840397MaRDI QIDQ4736365

Lequan Min, Na Yu

Publication date: 9 August 2004

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

Full work available at URL: https://doi.org/10.1142/s0218127402004826

zbMATH Keywords

chaosbifurcation diagramnumerical simulationscomplex patternsCNNlocal activityexcitable cellsmoothed Chua's circuit

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Analytic circuit theory (94C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

APPLICATIONS OF LOCAL ACTIVITY THEORY OF CNN TO CONTROLLED COUPLED OREGONATOR SYSTEMS ⋮ Theorems and application of local activity of CNN with five state variables and one port ⋮ Some Analytical Criteria for Local Activity of Three-Port CNN with Four State Variables: Analysis and Applications ⋮ CELLULAR NEURAL NETWORK MODELS OF GROWTH AND IMMUNE OF EFFECTOR CELLS RESPONSE TO CANCER

Cites Work

• Cellular neural networks: theory
• CNN: A Vision of Complexity
• On the universe of stable cellular neural networks
• Ω-GLOBALLY ATTRACTIVE EQUILIBRIUM POINTS OF THE CNN
• 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
• Neural networks and physical systems with emergent collective computational abilities.
• COMPLETE STABILITY FOR STANDARD CELLULAR NEURAL NETWORKS
• ANALYTICAL CRITERIA FOR LOCAL ACTIVITY AND APPLICATIONS TO THE OREGONATOR CNN
• ANALYTICAL CRITERIA FOR LOCAL ACTIVITY OF REACTION–DIFFUSION CNN WITH FOUR STATE VARIABLES AND APPLICATIONS TO THE HODGKIN–HUXLEY EQUATION
• THE LOCAL ACTIVITY CRITERIA FOR "DIFFERENCE-EQUATION" CNN

This page was built for publication: SOME ANALYTICAL CRITERIA FOR LOCAL ACTIVITY OF TWO-PORT CNN WITH THREE OR FOUR STATE VARIABLES: ANALYSIS AND APPLICATIONS