Bifurcation Theory and Applications: Lectures given at the by Stavros N. Busenberg (auth.), Luigi Salvadori (eds.)
By Stavros N. Busenberg (auth.), Luigi Salvadori (eds.)
Read or Download Bifurcation Theory and Applications: Lectures given at the 2nd 1983 Session of the Centro Internationale Matematico Estivo (C.I.M.E.) held at Montecatini, Italy, June 24 – July 2, 1983 PDF
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Additional info for Bifurcation Theory and Applications: Lectures given at the 2nd 1983 Session of the Centro Internationale Matematico Estivo (C.I.M.E.) held at Montecatini, Italy, June 24 – July 2, 1983
For a l l < ~ . j r. In p a r t i c u l a r , i f Moreover, f o r any n b( R Then equation. 2) has a periodic solution for all large enough r . The point of t h i s r e s u l t is that the above type of negative feedback delay can cause the b i f u r c a t i o n of a periodic solution which persists f o r a l l large enough delay. I t is yet not c l e a r whether such delays are responsible f o r biochemical oscillations. The estimates that Mahaffy has made from a v a i l a b l e data seem to i n d i - cate that the delays that are necessary to produce such o s c i l l a t i o n s may be too large to be o f b i o l o g i c a l importance, and other mechanisms may need to be found to explain such o s c i l l a t i o n s .
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