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Sato Lab
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The lab uses the language of dynamical systems to understand phenomena in which chaos and noise are intertwined.
AboutAbout the lab
Where chaos and noise meet
Prof. Sato studies nonlinear dynamical systems and complex systems, especially the complexity of spatiotemporal chaos.
From the standpoint of random dynamical systems, the lab investigates what happens when deterministic chaos and stochastic noise are mixed.
Main themes also include the phenomenology and time series analysis of dynamical systems with many degrees of freedom, and information-theoretic and computational analysis of chaotic dynamics.
Building on dynamical systems theory and nonlinear physics, the lab extends its applications to neighboring fields such as computation theory, information theory, and predictive control.
Key terms
- Chaos
- A phenomenon in which tiny differences grow large over time, making long-term prediction difficult
- Random dynamical system
- A mathematical model of time evolution in which random fluctuations are added to a system that moves according to fixed rules
- Time series analysis
- A method for reading the underlying mechanism from data arranged in time order
ResearchResearch themes
The lab specializes in nonlinear dynamical systems and complex systems, and studies the complexity of spatiotemporal chaos. Building on dynamical systems theory and nonlinear physics, it also tackles problems in neighboring fields such as computation theory, information theory, and predictive control.
*Illustrative imageChaos and randomness
Most nonlinear phenomena in dynamical systems with noise remain unexplained. The lab studies noise-induced phenomena that arise from the interaction between deterministic chaos and stochastic noise, as well as complex phenomena in random dynamical systems, and extends this work to applications such as time series analysis and predictive control.
*Illustrative imageReal number computation and complexity
If the symbolic dynamics of a dynamical system is viewed as the computational process of a Turing machine, a link between computation theory and dynamical systems theory comes into view. Using models of real number computation and similar tools as clues, this field considers computation theory from the viewpoint of dynamical systems, and many problems remain unsolved.
*Illustrative imageControl of spatiotemporal dynamics
Rather than suppressing a dynamical system from the outside, this theme considers operations that engage with the system by going along with its natural motion (like riding a horse and letting it set its own pace), so as to bring out the spatiotemporal structure the system originally has. Playing a wind instrument is a concrete example, and the theme is grounded through the control of collective motion in systems with many degrees of freedom and control in the presence of noise.
MembersFaculty
The lab's members are the faculty, doctoral students, and undergraduate students.As of 2026
- Associate ProfessorYuzuru Sato
VoicesStudent voices
Compiled from answers by students who were in the lab. Ratings and reviews reflect individual students' experiences, not the lab's official views.
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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: “Japanese attractor on black background” Yapparina / CC0 (cropped)
- Chaos and randomness: “Buoyant jet” Left.tom / CC BY-SA 4.0 (cropped)
- Real number computation and complexity: “Fractal(Julia Set)” DeRham00 / CC BY-SA 3.0 (cropped)
- Control of spatiotemporal dynamics: “3trompettes” Julien Robert / Public domain (cropped)
- Related lab (数理科学系): “Belousov Zhabotinsky reaction ( )” Stephen Morris / CC BY 2.0 (cropped)
- Related lab (数理科学系
（行木孝夫） ): “CA3061-81k7” Maxter315 / CC BY-SA 4.0 (cropped) - Related lab (数理科学系
（眞崎聡） ): “Baltic Sea Wave (Cien Water)” Marek Nowocień / CC BY 2.5 (cropped) - Related lab (代数系
（沼田泰英） ): “Young tableau for partitions of number 10” Unmismoobjetivo / CC BY 4.0 (cropped)
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