Chaotic itinerancy in the oscillator neural network without Lyapunov functions

Chaos

Volumn 14, Issue 3, 2004, Pages 699-706

  Uchiyama, Satoki ^a   Fujisaka, Hirokazu ^b  

^a HIROSHIMA UNIVERSITY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 7244234226     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1785612     Document Type: Article

References (52)

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36. Note that these two couplings are the same when we consider storing p orthogonal random patterns (fully uncorrelated patterns) because A [Eq. (7)] reduces to a unit matrix at that time.
37. 1|at the retrieval-nonretrieval transition point) is improved, and furthermore, (iii) the basin of attraction of the stored patterns get much deeper, while the extent of a basin becomes infinitesimal near the retrieval-nonretrieval transition boundary (Refs. 45-47).
38. In contrast to the result of Ref. 27, we did not come across the numerical observation of the sinusoidally oscillating retrieval solutions with the oscillation amplitude greater than 0.01. The bifurcation theory tells us the existence of the sinusoidal solution parameterized between the fixed-point-type retrieval and the chaotic retrieval solutions. However, we stored a number of correlated patterns with the help of the pseudoinverse method. That must negatively work upon the appearance.
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52. See EPAPS Document No. E-CHAOEH-14-041403 for movies of the retrieval solutions and images of stored patterns. A direct link to this document may be found in the online article's HTML reference section. The document may also be reached via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html) or from ftp.aip.org in the directory/epaps/. See the EPAPS homepage for more information.