Horseshoe in a class of planar mappings
Bursting dynamics of mappings is investigated in this paper. We first present stability analysis of the mappings' equilibria with various parameters. Then for three mappings P, P¯, and P^ with different parameters, we study their powers P4, P¯6, and P^4. We show that the mappings thus obtained...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/67908 |
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| Summary: | Bursting dynamics of mappings is investigated in this paper. We
first present stability analysis of the mappings' equilibria with
various parameters. Then for three mappings P, P¯, and P^ with different parameters, we study their powers P4, P¯6, and P^4. We show that the mappings thus
obtained are chaotic by giving a rigorous verification of
existence of horseshoes in these mappings. Precisely, we prove
that the mapping P¯6 is semiconjugate to the 3-shift mapping; the mappings P4 and P^4 are semiconjugate to the 4-shift mapping. |
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| ISSN: | 1026-0226 1607-887X |