HOUSE_OVERSIGHT_013701.jpg

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Extraction Summary

6
People
1
Organizations
0
Locations
0
Events
3
Relationships
3
Quotes

Document Information

Type: Scientific/academic paper page
File Size: 1.96 MB
Summary

This document captures page 201 of a scientific text discussing chaos theory, strange attractors, and ergodic theory within dynamical systems. It references several prominent physicists and mathematicians (Yorke, Ruelle, Takens). The page contains a Bates stamp 'HOUSE_OVERSIGHT_013701', indicating it is part of a document production to the House Oversight Committee, likely related to investigations into Jeffrey Epstein, who was known to fund and associate with scientists in these fields.

People (6)

Name Role Context
Ruelle Scientist/Author
Cited in text regarding 'strange attractor' (1971) and 'ergodic theory' (1979, 1985).
Takens Scientist/Author
Cited in text regarding 'strange attractor' (1971).
James Yorke Scientist/Mathematician
Credited with first naming these dynamics 'chaos' (1975).
Li Scientist/Author
Cited alongside Yorke (1975).
Shaw Scientist/Author
Cited for a non-mathematical treatment of chaotic orbits (1981).
Eckmann Scientist/Author
Cited alongside Ruelle (1985).

Organizations (1)

Name Type Context
House Oversight Committee
Implied by the Bates stamp 'HOUSE_OVERSIGHT_013701'.

Relationships (3)

Ruelle Co-authors Takens
Citation (Ruelle and Takens, 1971)
Li Co-authors James Yorke
Citation (Li and Yorke, 1975)
Eckmann Co-authors Ruelle
Citation (Eckmann and Ruelle, 1985)

Key Quotes (3)

"It was James Yorke that first named these dynamics “chaos” (Li and Yorke, 1975)."
Source
HOUSE_OVERSIGHT_013701.jpg
Quote #1
"The orbits of a forced-dissipative dynamical system in a parameter regime engendering chaos, converge onto an attractor which is neither a fixed point nor a limit cycle, thus the origin of the name “strange attractor” (Ruelle and Takens, 1971)."
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HOUSE_OVERSIGHT_013701.jpg
Quote #2
"Ergodic is a word used to characterize a system with (or without) a particular condition placed on its statistical measures..."
Source
HOUSE_OVERSIGHT_013701.jpg
Quote #3

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