Real Algebraic and Analytic Geometry

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124. Adam Dzedzej, Zbigniew Szafraniec:
On families of trajectories of an analytic gradient vector field.

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Submission: 2004, July 15.

For an analytic function having a critical point at the origin, there are described topological properties of the partition of the family of trajectories of the gradient equation attracted by the origin, given by characteristic exponents and asymptotic critical values.

Mathematics Subject Classification (2000): 37B35, 58K05.

Keywords and Phrases: gradient, characteristic exponents, asymptotic critical values.

Full text, 15p.: dvi 47k, ps.gz 134k, pdf 196k.

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