Gallery
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Siegel disc for a polynomial-like mapping
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Julia set for, where and is the golden ratio. Orbits of some points inside the Siegel disc emphasized
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Julia set for, where and is the golden ratio. Orbits of some points inside the Siegel disc emphasized. The Siegel disc is either unbounded or its boundary is an indecomposable continuum.
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Filled Julia set for for Golden Mean rotation number with interior colored propotional to the average discrete velocity on the orbit = abs( z_(n+1) - z_n ). Note that there is only one Siegel disc and many preimages of the orbits within the Siegel disk
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Filled Julia set for for Golden Mean rotation number with Siegel disc and some orbits inside
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Julia set of quadratic polynomial with Siegel disk for rotation number
Read more about this topic: Siegel Disc
Famous quotes containing the word gallery:
“To a person uninstructed in natural history, his country or sea-side stroll is a walk through a gallery filled with wonderful works of art, nine-tenths of which have their faces turned to the wall. Teach him something of natural history, and you place in his hands a catalogue of those which are worth turning round.”
—Thomas Henry Huxley (1825–95)
“It doesn’t matter that your painting is small. Kopecks are also small, but when a lot are put together they make a ruble. Each painting displayed in a gallery and each good book that makes it into a library, no matter how small they may be, serves a great cause: accretion of the national wealth.”
—Anton Pavlovich Chekhov (1860–1904)
“Each morning the manager of this gallery substituted some new picture, distinguished by more brilliant or harmonious coloring, for the old upon the walls.”
—Henry David Thoreau (1817–1862)