Analysis of singularities and of integrability of ODE's by algorithms of Power Geometry

A. D. Bruno

Type: Article

Publication Date: 2011-01-01

Citations: 0

DOI: https://doi.org/10.4064/bc94-0-4

Abstract

Here we present basic ideas and algorithms of Power Geometry and give a survey of some of its applications. In Section 2, we consider one generic ordinary differential equation and demonstrate how to find asymptotic forms and asymptotic expansions of

Locations

Banach Center Publications - View - PDF

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Works That Cite This (0)

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Works Cited by This (9)

Action	Title	Year	Authors
+	On integrability of the Euler-Poisson equations	2008	A. D. Bruno V. F. Edneral
+	On the integrability of a planar system of Ode’s near a degenerate stationary point	2010	A. D. Bruno V. F. Edneral
+	Classes of Families of Generalized Periodic Solutions to the Beletsky Equation	2004	A. D. Bruno В. П. Варин
+	Complicated expansions of solutions to an ordinary differential equation	2006	A. D. Bruno
+	Algorithmic analysis of local integrability	2009	A. D. Bruno V. F. Edneral
+	Normal forms and integrability of ODE systems	2006	A. D. Bruno V. F. Edneral
+	Exotic expansions of solutions to an ordinary differential equation	2007	A. D. Bruno
+	Power Geometry in Algebraic and Differential Equations	2000	А Д Брюно
+	Local Methods in Nonlinear Differential Equations	1989	A. D. Bruno