Morse Decomposition of Semiflows on Topological Spaces

• Autores: Mauro Patrao
• Localización: Journal of dynamics and differential equations, ISSN 1040-7294, Vol. 19, Nº. 1, 2007, págs. 181-198
• Idioma: inglés
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• Resumen

  • This paper studies Morse decompositions of discrete and continuous-time semiflows on compact Hausdorff topological spaces. We extend two classical results which are well-known facts for flows on compact metric spaces: the characterization of the Morse decompositions through increasing sequences of attractors and the existence of Lyapunov functions.