Inverse limits associated with the forced van der Pol equation (Q1340463)
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scientific article; zbMATH DE number 703259
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverse limits associated with the forced van der Pol equation |
scientific article; zbMATH DE number 703259 |
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Inverse limits associated with the forced van der Pol equation (English)
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19 December 1994
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\textit{M. Levi} [Mem. Am. Math. Soc. 244, 147 p. (1981; Zbl 0448.34032)] gives the geometric description of annulus maps associated with the forced van der Pol equation \(\varepsilon \ddot x + \varphi(x) \dot x + \varepsilon x = bp(t)\). In the article under review it is shown that for certain values of \(b\) the full attracting sets of these annulus maps can be realized as inverse limits of circles. It is also proved that the annulus map is topologically conjugate to the shift homeomorphism on the inverse limit space.
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attractors
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van der Pol equation
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inverse limits
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annulus map
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