Quick Search:
Prog. Theor. Phys. Vol. 100 No. 3 (1998) pp. 467-474
Localized State in a Population of Threshold Elements with Non-Local Interaction
Hidetsugu Sakaguchi
Department of Applied Sciences for Electronics and Materials
Interdisciplinary Graduate School of Engineering Sciences
Kyushu University, Kasuga 816-8580, Japan
(Received February 13, 1998)
Abstract:
We study a population of
threshold elements with non-local interaction.
A localized state exists if the short-range interaction is
excitatory and the long-range interaction is inhibitory.
We find some novel localized states, such as
a discontinuous localized state
and a localized pattern surrounded by a chaotic background.
URL :
http://ptp.ipap.jp/link?PTP/100/467/
DOI : 10.1143/PTP.100.467
References:
- R. Eckhorn et al., Biol. Cybernetics 60 (1988), 121.
-
C. M. Gray, P. Koenig, A. K. Engel and W. Singer, Nature 338 (1989), 334[CrossRef].
- W. Freeman and C. A. Skarda, Brain Res. Rev. 10 (1985), 147.
- Y. Yao and W. Freeman, Neural Networks 3 (1990), 153.
- H. R. Wilson and J. D. Cowan, Biophysical J. 12 (1972), 1.
- S. Amari, Proc. IEEE 59 (1971), 35.
- T. Mestl, C. Lemay and L. Glass, Physica D98 (1996), 33.
- H. Sakaguchi, Prog. Theor. Phys. 97 (1997), 849[PTP].
- S. Amari, Biol. Cybernetics 27 (1977), 77.
- Y. Kuramoto, Prog. Theor. Phys. 94 (1995), 321[PTP].
-
Y. Kuramoto and H. Nakao, Phys. Rev. Lett. 76 (1996), 4352[APS].
-
G. D. Granzow and H. Riecke, Phys. Rev. Lett. 77 (1996), 2451[APS].
-
K. Kaneko, Phys. Rev. Lett. 63 (1989), 219[APS].
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 55-61
:
-
Localized State in a Nonlinear Resistor Network
-
Hidetsugu Sakaguchi
