Isolating segments, fixed point index, and symbolic dynamics. III: Applications (Q697869)
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scientific article; zbMATH DE number 1801923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isolating segments, fixed point index, and symbolic dynamics. III: Applications |
scientific article; zbMATH DE number 1801923 |
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Isolating segments, fixed point index, and symbolic dynamics. III: Applications (English)
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17 September 2002
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The authors continue to study chaotic properties of the nonautonomous equation \[ z'=\bar{z}^n(1+e^{i\kappa t}|z|^2). \] The method of isolating segments is applied to establish the existence of an invariant set on which the Poincaré map has symbolic dynamics on \(n+2\) symbols. For Parts I and II see ibid. 161, 245-288 (2000; Zbl 0953.34034) and ibid. 172, 189-211 (2001; Zbl 0996.37020).
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chaotic properties
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nonautonomous equation
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Poincaré map
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0.9769596
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0.95774114
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0.8938856
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0.85405827
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0.85056436
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