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Sequence of bifurcations in an ‘antigen–antibody’ reaction
Author(s) -
Grushevskaja G. V.,
Khmelnitsky A. I.
Publication year - 1996
Publication title -
journal of molecular recognition
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.401
H-Index - 79
eISSN - 1099-1352
pISSN - 0952-3499
DOI - 10.1002/(sici)1099-1352(199634/12)9:5/6<570::aid-jmr304>3.0.co;2-k
Subject(s) - hopf bifurcation , ordinary differential equation , bifurcation , sequence (biology) , mathematics , period doubling bifurcation , differential equation , mathematical analysis , chemistry , physics , nonlinear system , biochemistry , quantum mechanics
The aperiodically singularly disturbed system of ordinary 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.