Some Analytical Criteria for Local Activity of Three-Port CNN with Four State Variables: Analysis and Applications

DOI10.1142/S021812740300803XzbMath1057.37076OpenAlexW2078442503MaRDI QIDQ4655507

Xisong Dong, Lequan Min, Jing Tao Wang, Guan-Rong Chen

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s021812740300803x

zbMATH Keywords

chaostumor growthbifurcationChua's oscillatorimmune surveillanceCNNlocal activity

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Developmental biology, pattern formation (92C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

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 ⋮ CELLULAR NEURAL NETWORK MODELS OF GROWTH AND IMMUNE OF EFFECTOR CELLS RESPONSE TO CANCER

Cites Work

• CNN: A Vision of Complexity
• Passivity and complexity
• SOME ANALYTICAL CRITERIA FOR LOCAL ACTIVITY OF TWO-PORT CNN WITH THREE OR FOUR STATE VARIABLES: ANALYSIS AND APPLICATIONS
• 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
• 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

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