Bifurcation Diagram of Recurrence Equation X (t+1)=AX (t)(1-X (t)-X (t-1)-X (t-2))
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概要
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The properties of recurrence equation ,X'(7-F-1):fl,X'(Z)(l -X(t) -X(t -1)X(t -2)) are investigated appearing in mutually connected nervous networkhaving refractory period 3. The stable fixed point is 0 for .4<I and (1 -1/A)/3for 1<A<2.5. For 2.5</1<2.8 oscillation (or ultra long period periodic point)appears which shows critical behaviors. Usual analysis predicts instability at,/1=3, which contradicts with numerical results. For 2.8</1<2.85 chaos andwindow occur alternatively and large window from .4=2.85 to 2.9077. Above2.9077 usual period-doubling bifurcation and chaos take place. The Lorenzplots of chaotic state have different structures below and above A=2.9O77.
- 社団法人日本物理学会の論文
- 1984-08-15
著者
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MORIMOTO Y.
Department of Chemistry, Graduate School of Science, Kyoto University
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Morimoto Y
Department Of Physics University Of Tsukuba
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Morimoto Yasuo
Physics Department Meiji Acupuncture College
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Morimoto Yasuo
Physic Department Meiji College Of Acupuncture
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