ISSN:
1432-1416
Keywords:
Neural field
;
Waveform stability
;
Lateral inhibition
;
Dynamics of pattern formation
;
Perron-Frobenius theorem
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Summary Dynamics of excitation patterns is studied in one-dimensional homogeneous lateral-inhibition type neural fields. The existence of a local excitation pattern solution as well as its waveform stability is proved by the use of the Schauder fixed-point theorem and a generalized version of the Perron-Frobenius theorem of positive matrices to the function space. The dynamics of the field is in general multi-stable so that the field can keep short-term memory.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00275151
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