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 Perhaps because I don't like solitary travel I find this world roving a rather aberrant practice. But more to the p… twitter.com/i/web/status/1… 2 days ago
 I was speaking to my parents about this very issue because someone came up to me & authoritatively tried to mention… twitter.com/i/web/status/1… 2 days ago
 A partial graph of researchers leading the development of modern physics with some additional vertices added. The d… twitter.com/i/web/status/1… 2 days ago
 Elektorornis a strange bird from the Burmese Cretaceous amber with a very long 3rd digit on its foot https://t.co/sC1hwnah66 2 days ago
 A web of who eats whom as preserved in the fossil record of the Yanliao and Jehol in what's today China. https://t.co/PH4NDvU8Un 2 days ago
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 A Political roundup August 15 2018
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Tag Archives: attractors
A novel discrete map exhibiting chaotic behavior
The map proposed by R. Lozi over 40 years ago is one of the simplest two dimensional maps that exhibits chaotic behavior and generates a wide range of interesting structures. The map may be defined thus: where are real parameters. … Continue reading
Posted in Scientific ramblings
Tagged attractors, chaos, chaotic flows, dynamics, fractal, fractals, geometry, mathematics, trigonometry
The SatijaKetoja system
Satija and Ketoja discovered an interesting dynamical system in course of the study of the Schrödinger equation for one electron in a two dimensional periodic lattice on a uniform magnetic ﬁeld. While this equation and its variants have several uses … Continue reading
Posted in art, Scientific ramblings
Tagged attractors, Cauchy distribution, Cauchy flights, Central Limit Theorem, chaos, fractal, fractals, geometry, Ketoja, mathematics, physics, Satija
Some simple maps specifying strange attractors
This note may be read a continuation of: Some reminiscences of our study of chaotic maps2 While the story of the chaotic 2D attractors began with the simplelooking maps of Henon and Lozi, by the early 1990s the highpoint was … Continue reading
Posted in art, Scientific ramblings
Tagged attractors, chaos, chaotic flows, fractal, fractals, geometry, mathematics
Some reminiscences of our study of chaotic maps2
Continued from part1 The second two dimensional map we studied in our early days was that of Lozi: where and are constants. It becomes immediately evident that this map is conceptually similar to the Henon map, using the absolute value … Continue reading
Posted in art, Life, Scientific ramblings
Tagged attractors, chaos, fractal, fractals, geometry, Gingerbread Man, Henon, logistic map, Lozi, mathematics, strange attractors, tent map
Some reminiscences of our study of chaotic maps1
Starting in our teens, we began our exploration of chaotic (strange) attractors emerging from simple iterative maps, numerical solution of ordinary differential equations and other fractals inspired by the work of Benoit Mandelbrot. It led us in two directions. First, … Continue reading
Posted in art, Scientific ramblings
Tagged art, attractors, beauty, chaos, fractal, fractals, Geometric construction, geometry, Henon map, iterative systems, mathematics, recreational geometry