Effects of asymmetry in an output function on the pinning of rotating waves in a ring neural oscillator with asymmetric bidirectional coupling and self-coupling

作者: Yo Horikawa

DOI: 10.1016/J.NEUCOM.2014.03.036

关键词:

摘要: Abstract Effects of asymmetry in a sigmoidal output function neurons on rotating waves ring with asymmetric bidirectional coupling and self-coupling were studied. Propagation wave fronts failed, i.e., the pinning occurred not only when was excitatory but also inhibitory, which there unsaturated at fronts. Conditions for derived by using piecewise linear function. The conditions depended whether or inhibitory presence an

参考文章(66)
Patrick Thiran, Dynamics and self-organization of locally coupled neural networks Cahiers de topologie et géométrie différentielle. ,vol. 38, pp. 327- 328 ,(1996) , 10.5075/EPFL-THESIS-1536
Germ��n Gutierrez, Variable‐Frequency Oscillators Wiley Encyclopedia of Electrical and Electronics Engineering. ,(1999) , 10.1002/047134608X.W2296
Stephen Grossberg, Contour Enhancement, Short Term Memory, and Constancies in Reverberating Neural Networks Studies in Applied Mathematics. ,vol. 52, pp. 332- 378 ,(1973) , 10.1007/978-94-009-7758-7_8
James P. Keener, The effects of discrete gap junction coupling on propagation in myocardium Journal of Theoretical Biology. ,vol. 148, pp. 49- 82 ,(1991) , 10.1016/S0022-5193(05)80465-5
Xu Xu, Complicated dynamics of a ring neural network with time delays Journal of Physics A. ,vol. 41, pp. 035102- ,(2008) , 10.1088/1751-8113/41/3/035102
Jonathan Bell, Some threshold results for models of myelinated nerves Mathematical Biosciences. ,vol. 54, pp. 181- 190 ,(1981) , 10.1016/0025-5564(81)90085-7
Junjie Wei, Chunrui Zhang, Bifurcation analysis of a class of neural networks with delays Nonlinear Analysis: Real World Applications. ,vol. 9, pp. 2234- 2252 ,(2008) , 10.1016/J.NONRWA.2007.08.008
W. J. Firth, Optical memory and spatial chaos. Physical Review Letters. ,vol. 61, pp. 329- 332 ,(1988) , 10.1103/PHYSREVLETT.61.329
Yo Horikawa, Exponential dispersion relation and its effects on unstable propagating pulses in unidirectionally coupled symmetric bistable elements Communications in Nonlinear Science and Numerical Simulation. ,vol. 17, pp. 2791- 2803 ,(2012) , 10.1016/J.CNSNS.2011.11.002
S. Coombes, Large-scale neural dynamics: simple and complex. NeuroImage. ,vol. 52, pp. 731- 739 ,(2010) , 10.1016/J.NEUROIMAGE.2010.01.045