Discretizing dynamical systems with generalized Hopf bifurcations (Q543350)
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scientific article; zbMATH DE number 5909137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discretizing dynamical systems with generalized Hopf bifurcations |
scientific article; zbMATH DE number 5909137 |
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Discretizing dynamical systems with generalized Hopf bifurcations (English)
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17 June 2011
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The author uses general one-step methods in order to analyse a generalized Hopf bifurcation for parameter dependent continuous dynamical systems. He observes safe regions, i.e., the dynamics provided by one-step methods qualitatively coincide with the dynamics of the original system and regions of spurious behavior. Thus, he shows that such methods can shift a Hopf bifurcation and turn it into a generalized Neimark-Sacker one. A numerical example is carried out.
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parameter dependent dynamical systems
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generalized bifurcation
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general one-step methods
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Lyapunov coefficients
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modified Van der Pol-Duffing oscillator
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Neimark-Sacher bifurcation
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Hopf bifurcation
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numerical example
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