H
Henry D. I. Abarbanel
Researcher at University of California, San Diego
Publications - 301
Citations - 21601
Henry D. I. Abarbanel is an academic researcher from University of California, San Diego. The author has contributed to research in topics: Lyapunov exponent & Attractor. The author has an hindex of 59, co-authored 297 publications receiving 20447 citations. Previous affiliations of Henry D. I. Abarbanel include Stanford University & Weizmann Institute of Science.
Papers
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Journal ArticleDOI
Determining embedding dimension for phase-space reconstruction using a geometrical construction
TL;DR: The issue of determining an acceptable minimum embedding dimension is examined by looking at the behavior of near neighbors under changes in the embedding dimensions from d\ensuremath{\rightarrow}d+1 by examining the manner in which noise changes the determination of ${\mathit{d}}_{\math it{E}}$.
Book
Analysis of Observed Chaotic Data
TL;DR: Regular Dynamics: Newton to Poincare KAM Theorem, and the Chaos Toolkit: Making 'Physics' out of Chaos.
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The analysis of observed chaotic data in physical systems
TL;DR: Chaotic time series data are observed routinely in experiments on physical systems and in observations in the field as mentioned in this paper, and many tools have been developed for the analysis of such data.
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Generalized synchronization of chaos in directionally coupled chaotic systems
TL;DR: A generalization of this condition, which equates dynamical variables from one subsystem with a function of the variables of another subsystem, which means that synchronization implies a collapse of the overall evolution onto a subspace of the system attractor in full space.
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Dynamical principles in neuroscience
TL;DR: In this paper, the authors proposed a method to support the development of an autonomous vehicle for autonomous driving with NSF grant No. NSF/EIA-0130708 and Grant No. PHY 0414174.