Pointwise convergence of gradient-like systems

Lageman, Christian

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Pointwise convergence of gradient-like systems

Date

2007

Authors

Lageman, Christian

Publisher

Wiley-VCH Verlag GMBH

Abstract

S. Łojasiewicz has shown that the ω-limit sets of the trajectories of analytic gradient systems consist of at most one point. We extend this result to the larger class of gradient-like vector fields satisfying an angle condition. In particular, this inc