Asymptotic behaviour of the third Painlevé transcendents in the space of initial values
| Autor: | Milena Radnović, Nalini Joshi |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Rational surface
Generalization Applied Mathematics General Mathematics media_common.quotation_subject 010102 general mathematics Mathematical analysis Painlevé transcendents Resolution of singularities Space (mathematics) Infinity 01 natural sciences Phase space 0101 mathematics Limit set Mathematics media_common |
| Zdroj: | Transactions of the American Mathematical Society. 372:6507-6546 |
| ISSN: | 1088-6850 0002-9947 |
| Popis: | We study the asymptotic behavior of solutions of the fourth Painleve equation as the independent variable goes to infinity in its space of (complex) initial values, which is a generalization of phase space described by Okamoto. We show that the limit set of each solution is compact and connected and, moreover, that any solution that is not rational has an infinite number of poles and infinite number of zeros. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|