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0111 · Jan 200819922001200920182026
4 results for attractor-repeller

We prove a global fixed point theorem for the centralizer of a homeomorphism of the two dimensional disk DD that has attractor-repeller dynamics on the boundary with at least two attractors and two repellers. As one application, we show that there is a finite index subgroup of the centralizer of a pseudo-Anosov homeom…

2008-01-04abs ↗pdf ↗

Study the evolution of the Lorenz strange set using Conley index theory.

problem Understanding the evolution of the Lorenz strange set through parameter changes.
method Application of Conley index theory to analyze the global attractor and its Morse decompositions.
result Identification and analysis of bifurcations and the role of the strange set in these transformations.