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Sequence of bifurcations in an ‘antigen–antibody’ reaction

✍ Scribed by G. V. Grushevskaja; A. I. Khmelnitsky

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
420 KB
Volume
9
Category
Article
ISSN
0952-3499

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✦ Synopsis

The aperiodidy singularly disturbed system of ordiary differential equations describing the process of the formation of the antibody complex initiated by antigen binding was analysed. The numerical and analytical examinations showed that there are solutions which correspond to primary Hopf bifurcation and subsequent finite number of Feigenbaum's period-doubling bifurcations. The last leads to chaotization of the system.

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