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On the dynamic behaviour of two‐cell cellular neural networks
Author(s) -
Civalleri Pier Paolo,
Gilli Marco
Publication year - 1993
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490210505
Subject(s) - homoclinic orbit , cellular neural network , artificial neural network , stability (learning theory) , equilibrium point , mathematics , fixed point , control theory (sociology) , computer science , differential equation , biological system , topology (electrical circuits) , mathematical analysis , nonlinear system , physics , artificial intelligence , combinatorics , bifurcation , biology , control (management) , quantum mechanics , machine learning
A complete study of non‐linear differential equations describing two‐cell cellular neural networks (CNNs) is presented. the stability properties are investigated and the domains of attraction of the stable fixed points are determined. Also, the conditions for the existence of periodic and homoclinic cycles are stated.