LAB LOGA page on LabLog, a review site (not the lab's official page)
Analysis 2 (Dynamical Systems) Lab
Machine-translated · View original
The lab studies the fractal sets that appear in complex dynamics.
AboutAbout the lab
Exploring the shapes of fractals born from repetition
This lab studies dynamical systems, especially complex dynamics.
Repeatedly composing a polynomial in one complex variable naturally produces complex fractal sets such as Julia sets and the Mandelbrot set.
The lab studies their topological and combinatorial properties, such as self-similarity and local connectivity.
Recently, it has also been working on using VR equipment to make fractal sets in complex 2-dimensional (real 4-dimensional) space visible.
Key terms
- Complex dynamics
- A field that studies how points move when a function of complex numbers is applied repeatedly
- Julia set
- The set of points whose motion becomes unstable under repeated application of a function; it takes the form of a complex fractal
- Fractal
- An intricate shape in which enlarging a part reveals a form similar to the whole
ResearchResearch themes
The lab studies dynamical systems, especially complex dynamics. It investigates the properties of fractal sets that arise from the iterated composition of polynomials, and also works on their visualization by computer.
View More ↗
MembersFaculty
- ProfessorHiroyuki Inou
VoicesStudent voices
Ratings and reviews reflect the experiences of individual current or former students, not the lab's official views. Whether a lab has reviews, or how many, says nothing about the lab itself.
Students who take part in an interview may receive a thank-you gift worth ¥1,000, regardless of what they say.
Student ratings (0 students)
--
--
--
--
--
--
Student voices answer questions like these
- What's great about this lab?
- What did you learn after joining?
- What's the vibe, and what is the professor like?
- Who is this lab for?
- Where do graduates go?
Your experience can help younger students choose their lab. Your name won't be shown.
Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Analysis 2 (Dynamical Systems) Lab
Algebra 2 (Algebraic Geometry) Lab (Shu Kawaguchi)Faculty of Science, School of ScienceAlgebraic varieties defined over number fields; arithmetic a…
Geometry 2 (Discrete Group Theory) LabFaculty of Science, School of ScienceGeometric and analytic problems of discrete groups studied w…
Geometry 2 (Dynamical Systems, Ergodic Theory) Lab (Masaki Tsukamoto)Faculty of Science, School of ScienceSystems that evolve in time are called dynamical systems, an…
Applied Mathematics (Applied Dynamical Systems, Nonlinear Analysis, Verified Numerical Computation) Lab (Tomoyuki Miyaji)Faculty of Science, School of ScienceMathematical understanding of dynamic phenomena in nature an…The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Julia-Menge -0.4+0.6i” PantheraLeo1359531 / CC0 (cropped)
- Julia Sets and the Mandelbrot Set: “Mandel zoom 00 mandelbrot set” Created by Wolfgang Beyer with the program Ultra Fractal 3. / CC BY-SA 3.0 (cropped)
- Related lab (Algebra 2 (Algebraic Geometry) Lab (Shu Kawaguchi)): “Tropical curves 3rd order” Erwan Brugallé, Ilia Itenberg, Kristin Shaw, Oleg Viro / CC BY-SA 4.0 (cropped)
- Related lab (Geometry 2 (Discrete Group Theory) Lab): “Loop erased random walk in 2D” Cosmia Nebula / CC BY-SA 4.0 (cropped)
- Related lab (Geometry 2 (Dynamical Systems, Ergodic Theory) Lab (Masaki Tsukamoto)): “Lorenz caos2” António Miguel de Campos / Public domain (cropped)
- Related lab (Applied Mathematics (Applied Dynamical Systems, Nonlinear Analysis, Verified Numerical Computation) Lab (Tomoyuki Miyaji)): “Turing morphogen pattern resembling cheetah dappling” Philip Ball / CC BY 4.0 (cropped)
About LabLog
LabLog is a lab review app for students only. Student members at each university interview students in labs and publish what they say. Student voices can only be read by students who sign up with a university email address. Operated by bestiee Inc.
Learn more about LabLog ↗Search engines and AI may reference the basic lab info and rating summaries on this page and the description of LabLog. Student voices are for student members only. Automated collection by programs (scraping, or input to or training of AI) is prohibited under Article 8 of the Terms of Service. If you need data for research or analysis, please contact us.