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Quasi-Static Bifurcations

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Weakly Connected Neural Networks

Part of the book series: Applied Mathematical Sciences ((AMS,volume 126))

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Abstract

In this chapter we analyze the canonical models (6.17) and (6.24) for singu­larly perturbed WCNNs at quasi-static saddle-node and quasi-static cusp bifurcations. In particular, we consider the canonical models in the special case

$$ \alpha _1 = \ldots = \alpha _n = \alpha > 0. $$

.

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Authors and Affiliations

  1. Center for Systems Science and Engineering, Arizona State University, Tempe, AZ, 85287

    Frank C. Hoppensteadt & Eugene M. Izhikevich

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  1. Frank C. Hoppensteadt
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  2. Eugene M. Izhikevich
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© 1997 Springer Science+Business Media New York

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Hoppensteadt, F.C., Izhikevich, E.M. (1997). Quasi-Static Bifurcations. In: Weakly Connected Neural Networks. Applied Mathematical Sciences, vol 126. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1828-9_12

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  • DOI: https://doi.org/10.1007/978-1-4612-1828-9_12

  • 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

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