HOUSE_OVERSIGHT_013690.jpg
2.03 MB
Extraction Summary
8
People
3
Organizations
1
Locations
2
Events
2
Relationships
4
Quotes
Document Information
Type:
Scientific text / academic paper (part of house oversight production)
File Size:
2.03 MB
Summary
This document is page 190 of a larger text, bearing a House Oversight Bates stamp, discussing complex scientific concepts related to Chaos Theory, specifically nonlinear dynamical systems, bifurcation, and strange attractors. It details historical scientific discoveries by Yoshi Ueda and Edward Lorenz (the Lorenz attractor), and academic relationships involving Kyoto University and Harvard. While the text is purely scientific, its inclusion in the Oversight production suggests it may have been part of Jeffrey Epstein's collection of scientific literature or correspondence with scientists.
People (8)
| Name | Role | Context |
|---|---|---|
| Cartwright | Mathematician/Scientist |
Referenced in 'Cartwright-Littlewood' regarding domains of attraction and fractal basin boundaries.
|
| Littlewood | Mathematician/Scientist |
Referenced in 'Cartwright-Littlewood' regarding domains of attraction and fractal basin boundaries.
|
| Zeeman | Scientist/Author |
Cited (1976) regarding Duffing equations.
|
| Yoshi Ueda | Electrical Engineer |
Made discoveries in the early 1960s regarding bounded solutions; published findings later as an independent investiga...
|
| Chihiro Hayashi | Thesis Director |
Professor at Kyoto University who refused to let Ueda publish his findings on strange attractors.
|
| Edward Lorenz | Meteorologist |
Discovered the Lorenz attractor in the early 1960s while computing weather prediction equations.
|
| George Birkoff | Mathematician |
Harvard mathematician and dynamical systems pioneer; teacher of Edward Lorenz.
|
| Saltzman | Scientist |
Author of differential equations used by Lorenz.
|
Organizations (3)
| Name | Type | Context |
|---|---|---|
| Kyoto University |
University in Japan where Chihiro Hayashi was a thesis director.
|
|
| Harvard |
University associated with mathematician George Birkoff.
|
|
| House Oversight Committee |
Implied by the Bates stamp 'HOUSE_OVERSIGHT_013690'.
|
Timeline (2 events)
Early 1960s
Yoshi Ueda made discoveries regarding Duffing equations and strange attractors.
Japan (implied)
Early 1960s
Edward Lorenz computed outputs for weather prediction equations leading to the discovery of the Lorenz attractor.
Unknown
Locations (1)
| Location | Context |
|---|---|
|
Location of Kyoto University.
|
Relationships (2)
his thesis director, Chihiro Hayashi
Edward Lorenz (1963), a meteorologist and student of the Harvard mathematician... George Birkoff
Key Quotes (4)
"We now know such phenomena to be universal characteristics of bifurcation scenarios in nonlinear dynamical systems"Source
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Quote #1
"It was in this way that the specific values of the end state are understood to be indeterminate since the starting values in the fractal basin boundary are impossible to isolate and specify with adequate experimental precision."Source
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Quote #2
"Chihiro Hayashi of Japan’s Kyoto University, was sufficiently disturbed by this evidence for the existence of bounded solutions (attractors) that were neither fixed points (equilibria) nor periodic orbits (cycles)... that he refused to let Ueda publish his findings"Source
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Quote #3
"Very small differences in starting values led to widely diverse final values"Source
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Quote #4
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