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Entrainment in nerve by a ferroelectric model: Bifurcation and limit cycles

✍ Scribed by Kotaro Shirane; Takayuki Tokimoto; Hiroyuki Kushibe

Book ID
107914469
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
483 KB
Volume
90
Category
Article
ISSN
0167-2789

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πŸ“œ SIMILAR VOLUMES

Entrainment in nerve by a ferroelectric
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A nonlinear state equation for membrane excitation can be simplified by Leuchtag's ferroelectric model which is applied to a chemical network theory. A dissipative structure of such a membrane is described by an equilibrium space, q3 + aq + b = 0, giving a cusp catastrophe, and the membrane is self-

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## Abstract In this paper, by using a corollary to the center manifold theorem, we show that the 3‐D food‐chain model studied by many authors undergoes a 3‐D Hopf bifurcation, and then we obtain the existence of limit cycles for the 3‐D differential system. The methods used here can be extended to