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Dynamical Systems Lab
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The lab studies the behavior that arises when a function is applied repeatedly.

AboutAbout the lab
Exploring the complex forms born of repetition
The lab studies dynamical systems theory, particularly complex dynamics.
It investigates the behavior that arises when polynomials, rational functions, and transcendental entire functions are applied repeatedly, using methods from complex analysis, topology, and ergodic theory.
Undergraduate students are assigned to the Division of Mathematical and Information Sciences and carry out their graduation research there (in the graduate school, the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Key terms
- Complex dynamics
- A field that studies how points move when a function is applied repeatedly over the complex numbers
- Julia set
- In complex dynamics, the set of points where behavior is unstable and complicated. It often takes the form of a fractal
- Transcendental entire function
- A function that, like the exponential function, is not a polynomial but is smooth over the entire complex plane
ResearchResearch themes
The lab studies complex dynamics defined by polynomial maps, rational maps, and transcendental entire functions, using methods from complex analysis, topology, and measure theory.
View More ↗MembersFaculty
- ProfessorMasashi Kisaka
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Exp-esc” Arnaud Cheritat / CC0 (cropped)
- Complex Dynamics of Transcendental Entire Functions: “Filled Julia set” José Luis Llopis Fabra / CC BY-SA 4.0 (cropped)
- Related lab (数学
(角 大輝) ): “Spirals in self-similarity” PantheraLeo1359531 / CC BY-SA 4.0 (cropped) - Related lab (森成物性理論研究室): “Tile levitates by Meissner effect” Garrett Pennell / CC BY-SA 3.0 (cropped)
- Related lab (計算理論
(THIES Holger) ): “Coq plus comm screenshot” Hugo Herbelin / CC BY-SA 3.0 (cropped) - Related lab (数理論理学
(DEBRECHT Matthew) ): “Cantor set radial phoenix” Cmglee / CC BY-SA 4.0 (cropped)
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