ANALYTICAL CRITERIA FOR LOCAL ACTIVITY AND APPLICATIONS TO THE OREGONATOR CNN

DOI10.1142/S0218127400000037zbMath1089.92503WikidataQ129735083 ScholiaQ129735083MaRDI QIDQ5474053

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

Publication date: 23 June 2006

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

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Developmental biology, pattern formation (92C15)

Related Items (13)

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 ⋮ EXTENDING LOCAL PASSIVITY THEORY AND HOPF BIFURCATION AT THE EDGE OF CHAOS IN OREGONATOR CNN ⋮ Some Analytical Criteria for Local Activity of Three-Port CNN with Four State Variables: Analysis and Applications ⋮ LOCAL ACTIVITY OF THE VAN DER POL 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 ⋮ TESTING FOR LOCAL ACTIVITY AND EDGE OF CHAOS ⋮ LOCAL ACTIVITY IS THE ORIGIN OF COMPLEXITY ⋮ FROM LOCAL ACTIVITY LEMMA BEYOND THE WAVE COMPUTATION REACTION–DIFFUSION CNN BASED NETWORKS ⋮ LOCAL ACTIVITY CRITERIA FOR DISCRETE-MAP CNN ⋮ SOME ANALYTICAL CRITERIA FOR LOCAL ACTIVITY OF TWO-PORT CNN WITH THREE OR FOUR STATE VARIABLES: ANALYSIS AND APPLICATIONS ⋮ Locally active Hindmarsh-Rose neurons

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

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