Electronic Resource
Springer
Bulletin of the Brazilian Mathematical Society
26 (1995), S. 57-66
ISSN:
1678-7714
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let ρ〉0 andX be aC 1 vector field on the plane such that: (i) for allq∈ℝ2, Det(DX(q))〉0; and (ii) for allp∈ℝ2, with ‖p‖≥ρ, Trace(D(X(p))〈0. IfX has a singularity and ∫ℝ 2 Trace(DX)dx⋏dy is less than 0 (resp. greater or equal than 0), then the point at infinity of the Riemann sphere ℝ2∪{∞} is a repellor (resp. an attractor) ofX.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01234626
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