A Reductive Perturbation Approach to Hard-Mode Instabilities of Inverted-Type Bifurcations
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概要
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Characteristic behavior of a hard-mode instability near the critical point between normal and inverted bifurcations is discussed by means of a reductive perturbation with respect to a new small parameter. The equation resulting from the fifth order of the present perturbation has a form similar to the usual Time-Dependent-Ginzburg-Landau equation, except for an additional term. For a steady and spatially uniform case, the present equation can describe a variation of the amplitude of self-oscillation as the type of bifurcation varies from normal to inverted ones. In this paper the present approach is applied to the FitzHugh-Nagumo model as a typical example, while it can be used generally for hard-mode instabilities of inverted-type bifurcations near the critical points.
- 1981-07-25
著者
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YAMAFUJI Kaoru
Department of Electronics, Kyushu University
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Toko Kiyoshi
Department Of Electronics Kyushu University
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Toko Kiyoshi
Department Of Electronic Device Engineering Graduate School Of Information Science And Electrical En
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URAHAMA Kiichi
Department of Computer Science and Communication Engineering, Kyushu University
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NITTA Junsaku
Department of Electronics, Kyushu University
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Nitta Junsaku
Department Of Electronics Kyushu University
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Urahama Kiichi
Department Of Electronics Kyushu University
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Yamafuji Kaoru
Department Of Electronics Faculty Of Engineering Kyushu University
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Yamafuji Kaoru
Department Of Electronics Faculty Of Engineering Kyushu Univerisity
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Toko Kiyoshi
Department of Electronics, Kyushu University
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