First presenter			Co-presenter(s)
Name :	Alexander Bruno		Name:	Victor Edneral
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Affiliation:	Keldysh Institute of Applied Mathematics of RAS		Name:
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Country:	Russia		Name:
Talk Number:	07-01		E-mail:
Session:	7- Computer Algebra for Dynamical Systems and Celestial Mechanics		Schedule:   Room:	Sunday, 8:30   B-3432
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Title of presentation:	On Integrability of a Planar ODE System
Abstract:
We consider an autonomous system of ordinary differential equations, which is solved with respect to derivatives. To study local integrability of the system near a degenerate stationary point, we use an approach based on Power Geometry method and on the computation of the resonant normal form. For a planar 5-parametric example of such system, we found the complete set of necessary and sufficient conditions on parameters of the system for which the system is locally integrable near a degenerate stationary point.