On a Maximal Number of Period Annuli
We consider equation x′′+g(x)=0, where g(x) is a polynomial, allowing the equation to have multiple period annuli. We detect the maximal number of possible period annuli for polynomials of odd degree and show how the respective optimal polynomials can be constructed.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/393875 |
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| Summary: | We consider equation x′′+g(x)=0, where g(x) is a polynomial,
allowing the equation to have multiple period annuli. We detect the
maximal number of possible period annuli for polynomials of odd degree and
show how the respective optimal polynomials can be constructed. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |