On families of trajectories of an analytic gradient vector field

• Autorzy: Adam Dzedzej , Zbigniew Szafraniec
• Języki publikacji: EN

Abstrakty

EN

For an analytic function f:ℝⁿ,0 → ℝ,0 having a critical point at the origin, we describe the topological properties of the partition of the family of trajectories of the gradient equation ẋ = ∇f(x) attracted by the origin, given by characteristic exponents and asymptotic critical values.

Kategorie tematyczne

• 14B05: Singularities
• 37B35: Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets
• 34C08: Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.)
• 58K05: Critical points of functions and mappings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 87
• Numer: 1
• Strony: 99-109

Daty

wydano

2005

Twórcy

autor

Adam Dzedzej

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Zbigniew Szafraniec

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap87-0-9