Abstract
A WCNN of the form
near a multiple Andronov-Hopf bifurcation point was shown (Theorem 5.8) to have a canonical model of the form
where ′ = d/d•, • is slow time, and b i , c ij , d i , z i ∈ ℂ. In this chapter we study general properties of this canonical model. In particular, we are interested in the stability of the origin z 1 = … = z n = 0 and in the possibility of in-phase and anti-phase locking.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Hoppensteadt, F.C., Izhikevich, E.M. (1997). Multiple Andronov-Hopf Bifurcation. In: Weakly Connected Neural Networks. Applied Mathematical Sciences, vol 126. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1828-9_10
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1828-9_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7302-8
Online ISBN: 978-1-4612-1828-9
eBook Packages: Springer Book Archive