Description
| Summary: | In this paper, we consider general [italic]S¹-actions, which may differ on the domain and on the range, with isotropy subspaces with one dimension more on the domain. In the special case of self-maps the [italic]S¹-degree is given by the usual degree of the invariant part, while for one parameter [italic]S¹-maps one has an integer for each isotropy subgroup different from [italic]S¹. In particular we recover all the [italic]S¹-degrees introduced in special cases by other authors and we are also able to interpret period doubling results on the basis of our [italic]S¹-degree. The applications concern essentially periodic solutions of ordinary differential equations.
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| Item Description: | "November 1992, volume 100, number 481 (end of volume)." |
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| Physical Description: | 1 online resource (ix, 179 pages) |
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| Bibliography: | Includes bibliographical references (pages 177-179). |
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| ISBN: | 9781470400583
1470400588 |
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| ISSN: | 1947-6221 ;
0065-9266 |
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| Source of Description, Etc. Note: | Print version record. |
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