Wyniki wyszukiwania:

Our aim is to study ordinary di?erential equations or simply di?erential s- tems in two real variables x ? = P(x, y), (0.1) y? = Q(x, y), r 2 where P and Q are C functions de?ned on an open subset U of R, with ? r=1,2, ..., ?, ?.AsusualC standsforanalyticity.Weputspecialemphasis onto polynomial di?erential systems, i.e., on systems (0.1) where P and Q are polynomials. Instead of talking about the di?erential system (0.1), we frequently talk about its associated vector ?eld ? ? X = P(x, y) +Q(x, y) (0.2) ?x ?y 2 on U? R . This will enable a coordinate-free approach, which is typical in...

Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors' work on structurally stable planar quadratic polynomial differential systems.