Topology and dynamics of unstable attractors

• Autorzy: M. A. Morón , J. J. Sánchez-Gabites , J. M. R. Sanjurjo
• Języki publikacji: EN

Abstrakty

EN

This article aims to explore the theory of unstable attractors with topological tools. A short topological analysis of the isolating blocks for unstable attractors with no external explosions leads quickly to sharp results about their shapes and some hints on how Conley's index is related to stability. Then the setting is specialized to the case of flows in ℝⁿ, where unstable attractors are seen to be dynamically complex since they must have external explosions.

Kategorie tematyczne

• 55P55: Shape theory
• 54H20: Topological dynamics
• 37C70: Attractors and repellers, topological structure
• 37B30: Index theory, Morse-Conley indices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 197
• Numer: 1
• Strony: 239-252

Daty

wydano

2007

Twórcy

autor

M. A. Morón

• Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain

autor

J. J. Sánchez-Gabites

• Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain

autor

J. M. R. Sanjurjo

• Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain

Identyfikatory

DOI

10.4064/fm197-0-11