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:
“I should like to have seen a gallery of coronation beauties, at Westminster Abbey, confronted for a moment by this band of Island girls; their stiffness, formality, and affectation contrasted with the artless vivacity and unconcealed natural graces of these savage maidens. It would be the Venus de’ Medici placed beside a milliner’s doll.”
—Herman Melville (1819–1891)
“I never can pass by the Metropolitan Museum of Art in New York without thinking of it not as a gallery of living portraits but as a cemetery of tax-deductible wealth.”
—Lewis H. Lapham (b. 1935)
“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)