K
Kathleen T. Alligood
Researcher at George Mason University
Publications - 26
Citations - 2391
Kathleen T. Alligood is an academic researcher from George Mason University. The author has contributed to research in topics: Attractor & Period-doubling bifurcation. The author has an hindex of 12, co-authored 26 publications receiving 2312 citations. Previous affiliations of Kathleen T. Alligood include College of Charleston & National Science Foundation.
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Chaos: An Introduction to Dynamical Systems
TL;DR: One-dimensional maps, two-dimensional map, fractals, and chaotic attraction attractors have been studied in this article for state reconstruction from data, including the state of Washington.
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Cascades of period-doubling bifurcations: A prerequisite for horseshoes
TL;DR: On montre qu'une infinite de cascades de dedoublements de periodes doivent apparaitre dans le processus de formation de fer a cheval as mentioned in this paper.
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Explosions of chaotic sets
TL;DR: In this article, the authors studied different types of tangencies of stable and unstable manifolds from orbits of pre-existing invariant sets and proposed a general theory that unifies phenomena such as basin boundary metamorphoses, explosions of chaotic saddles, etc.
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Period doubling cascades of attractors: a prerequisite for horseshoes
TL;DR: In this paper, it was shown that if a horseshoe is created in a natural manner as a parameter is varied, then the process of creation involves the appearance of attracting periodic orbits of all periods.
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Accessible saddles on fractal basin boundaries
TL;DR: For a homeomorphism of the plane, the basin of attraction of a fixed point attractor is open, connected, and simply-connected, and hence is homeomorphic to an open disk as mentioned in this paper.