dorsal/arxiv
View SchemaIntegrable four-dimensional symplectic maps of standard type
| Authors | Robert I. McLachlan |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9304003 |
| URL | https://arxiv.org/abs/solv-int/9304003 |
| DOI | 10.1016/0375-9601(93)90027-W |
Abstract
We search for rational, four-dimensional maps of standard type (x_{n+1} - 2x_n + x_{n-1} = eps f(x,eps)) possessing one or two polynomial integrals. There are no non-trivial maps corresponding to cubic oscillators, but we find a four-parameter family of such maps corresponding to quartic oscillators. This seems to be the only such example.
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"abstract": "We search for rational, four-dimensional maps of standard type (x_{n+1} -\n2x_n + x_{n-1} = eps f(x,eps)) possessing one or two polynomial integrals.\nThere are no non-trivial maps corresponding to cubic oscillators, but we find a\nfour-parameter family of such maps corresponding to quartic oscillators. This\nseems to be the only such example.",
"arxiv_id": "solv-int/9304003",
"authors": [
"Robert I. McLachlan"
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"categories": [
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"doi": "10.1016/0375-9601(93)90027-W",
"title": "Integrable four-dimensional symplectic maps of standard type",
"url": "https://arxiv.org/abs/solv-int/9304003"
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