Isolating segments, fixed point index, and symbolic dynamics. II: Homoclinic solutions (Q5935539)
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scientific article; zbMATH DE number 1610613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isolating segments, fixed point index, and symbolic dynamics. II: Homoclinic solutions |
scientific article; zbMATH DE number 1610613 |
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Isolating segments, fixed point index, and symbolic dynamics. II: Homoclinic solutions (English)
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10 April 2002
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0.95774114
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0.88466823
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0.87112856
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0.86760676
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0.8612858
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0.8603747
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0.85819805
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0.8569017
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The authors continue to study chaotic properties of the nonautonomous equation NEWLINE\[NEWLINE z'=\bar{z}(1+e^{i\kappa t}|z|^2) NEWLINE\]NEWLINE [see Part I, ibid. 161, No. 2, 245-288 (2000; Zbl 0953.34034)]. The method of isolating segments is applied to establish the existence of infinite sets of homoclinic solutions of the trivial solution \(z=0\). Part III, see ibid. 183, 262-278 (2002; Zbl 1025.37013).
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