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Existence of complete Lyapunov functions for semiflows on separable metric spaces

Dynamical Systems 2011-08-01 v1
Authors: Mauro Patrão
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Abstract

The aim of this short note is to show how to construct a complete Lyapunov function of a semiflow by using a complete Lyapunov function of its time-one map. As a byproduct we assure the existence of complete Lyapunov functions for semiflows on separable metric spaces.

Keywords

complete Lyapunov function semiflow time-one map separable metric space dynamical systems

Cite

@article{arxiv.1107.5981,
  title  = {Existence of complete Lyapunov functions for semiflows on separable metric spaces},
  author = {Mauro Patrão},
  journal= {arXiv preprint arXiv:1107.5981},
  year   = {2011}
}

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