ISSN:
1573-8698
Keywords:
Polynomial differential equations
;
limit cycles
;
monodromy group
;
conformal maps
;
fixed points
Source:
Springer Online Journal Archives 1860-2000
Topics:
Electrical Engineering, Measurement and Control Technology
Notes:
Abstract Differential equations on the complex plane with a rational right-hand side are considered. In a generic case such equation has a countable set of homologically independent limit cycles. It is proved that the exceptional set – the set of equations such that they do not have this property – has the real codimension at least two in the space of equations with right-hand side of degree no greater than a fixed number n.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1021819201777
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