Real Algebraic and Analytic Geometry |

On families of trajectories of an analytic gradient vector field.

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Submission: 2004, July 15.

*Abstract:
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.

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