Shigehiro Ushiki = Home Page

Shigehiro Ushiki,
Professor emeritus of Mathematics, retired from Graduate School of Human and Environmental Studies,
Kyoto University

Research interest : exploration of new phenomena in complex dynamical systems.

Key words of this page : Fractal set, chaos, Julia set, Mandelbrot set, complex Henon map, complex dynamics, complex dynamical systems, 4D graphics, movies, rational maps, holomorphic dynamical systems, Hubbard potential, Green's function, strange attractor, Douady's rabbit, Herman ring, computer graphics.

HenonExplorer and movies of Julia sets for Complex Henon maps

HenonExplorer page

ComplexExplorer and movies in parameter spaces

ComplexExplorer page

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StereoViewer and Julia sets in C^2

Henon Julia sets

Second Julia sets of Regular polynomial maps

Pictures and Movies of Rational Maps

• Herman Ring Page Blaschke Product Page

Movies from complex polynomial maps in C2

• Second Julia Page

Movies from complex Henon maps in C2

• Henon Julia Page
• Unstable Manifold Page Swallow's Tail Page Period 8 Page
• c-slice Page for b=-0.5 c-slice Page for b=-0.3 c-slice Page for b=-0.2
• c-slice Page for b=0.15 c-slice Page for b=0.3

Pictures from complex polynomial maps in C2

This page very old.

• Parabolic basin in C2
• Polynomial map of degree 2 in C2
• Polynomials with Period 3 attractor

Pictures of quadratic polynomials

• Quadratic Mandelbrot Page

Movies of quadratic polynomials of the Mandelbrot family

• Fractal World Page

Some Pictures of elliptic functions

• Some Papers Page