On Hopf bifurcation in non-smooth planar systems (Q963719)
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scientific article; zbMATH DE number 5692558
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Hopf bifurcation in non-smooth planar systems |
scientific article; zbMATH DE number 5692558 |
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On Hopf bifurcation in non-smooth planar systems (English)
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13 April 2010
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The authors consider Hopf bifurcation for non-smooth planar systems. It is shown that at most two limit cycles can be produced from focus-focus or focus-parabolic type points of order one, and from a parabolic-parabolic type point of order two. It is also shown that two limit cycles can appear near a focus point of type focus-focus, focus-parabolic, or parabolic-parabolic.
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Hopf bifurcation
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non-smooth dynamical system
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limit cycle
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piecewise linear system
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