Hopf Bifurcation due to Delay in the van der Pol Equations(General)
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概要
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We consider two types of van der Pol equations with a delay time r to study the Hopf bifurcation due to delay. It is pointed out analytically that, even in the case that a parameter is chosen so as the rest state is stable if r = 0, the state becomes unstable when r > r_c with a threshold r_c. Beyond r_c in one type of van der Pol equation, a limit cycle occurs, but it does not appear in the other type.
- 2007-03-15
著者
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Honda Katsuya
Department Of Applied Physics Faculty Of Engineering Nagoya University
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Agata Fumiki
Department Of Mathematical Sciences Faculty Of Science Shinshu University
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