dorsal/arxiv
View SchemaPerturbative methods for the Painlev\'e test
| Authors | R. Conte |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9812007 |
| URL | https://arxiv.org/abs/solv-int/9812007 |
Abstract
There exist many situations where an ordinary differential equation admits a movable critical singularity which the test of Kowalevski and Gambier fails to detect. Some possible reasons are: existence of negative Fuchs indices, insufficient number of Fuchs indices, multiple family, absence of an algebraic leading order. Mainly giving examples, we present the methods which answer all these questions. They are all based on the theorem of perturbations of Poincar\'e and computerizable.
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"abstract": "There exist many situations where an ordinary differential equation admits a\nmovable critical singularity which the test of Kowalevski and Gambier fails to\ndetect. Some possible reasons are: existence of negative Fuchs indices,\ninsufficient number of Fuchs indices, multiple family, absence of an algebraic\nleading order. Mainly giving examples, we present the methods which answer all\nthese questions. They are all based on the theorem of perturbations of\nPoincar\\\u0027e and computerizable.",
"arxiv_id": "solv-int/9812007",
"authors": [
"R. Conte"
],
"categories": [
"solv-int",
"nlin.SI"
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"title": "Perturbative methods for the Painlev\\\u0027e test",
"url": "https://arxiv.org/abs/solv-int/9812007"
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