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Nakao Lab
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A lab that uses nonlinear dynamics and probability theory to find what different phenomena have in common.
AboutAbout the lab
Uncovering the shared mechanisms behind phenomena through mathematics.
The Nakao Lab studies nonlinear dynamics and stochastic processes that occur in a wide variety of real-world systems from a mathematical standpoint.
It seeks to uncover the mechanisms shared by diverse phenomena, from physics and chemistry to mechanical and electrical engineering and living systems.
Using theory and numerical simulation, the lab investigates synchronization, in which rhythms become aligned, and the vibrations of machines and structures subjected to irregular fluctuations.
It also aims to apply the findings to control and design.
Key terms
- Nonlinear dynamics
- The behavior of how a system's state changes over time in systems where input and output are not proportional.
- Stochastic processes
- Mathematical models that describe phenomena that change over time while involving elements of chance.
- Non-Gaussianity
- The property of variation deviating from the bell-shaped distribution (normal distribution) centered on the mean.
ResearchResearch themes
The lab studies nonlinear dynamics and stochastic processes that occur in a wide variety of real-world systems from a mathematical standpoint. It aims to uncover the mechanisms shared by diverse phenomena, explore their universality, and obtain insights useful for control and design.
*Illustrative imageOptimization of Rhythms and Synchronization
The lab deals with "rhythmic phenomena," which involve oscillations, and "synchronization phenomena," in which multiple rhythms become aligned, both of which are seen in fields from biology and chemistry to engineering. It builds theoretical frameworks that explain their mechanisms mathematically.
*Illustrative imageResponse of Systems Subject to Irregular Fluctuations
The lab analyzes how systems respond when subjected to strongly non-Gaussian irregular fluctuations, such as wave forces and road surface roughness. Recently, it has extended this work to cases where the system has time delays.
*Illustrative imageAnalysis of Nonlinear Quantum Systems
The lab deals with nonlinear phenomena based on quantum mechanics, which have attracted attention with the development of nanotechnology. It analyzes nonlinear phenomena that occur in quantum systems that interact with their surrounding environment (open quantum systems).
*Illustrative imageModel Estimation of Oscillators from Data
This research estimates models of nonlinear systems whose mechanisms are unknown, using measured data. Targeting systems that repeat at a regular rhythm, the lab develops methods that make good use of existing theory to estimate models accurately.
MembersFaculty
The members of the Nakao Lab consist of faculty, administrative assistants, professors emeritus, researchers, postdoctoral researchers, and doctoral, master's, and undergraduate students.As of 2024
- ProfessorHiroya NakaoPublications ↗
- Assistant ProfessorTakahiro TsuchidaPublications ↗
VoicesStudent voices
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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: “Belousov Zhabotinsky reaction ( )” Stephen Morris / CC BY 2.0 (cropped)
- Optimization of Rhythms and Synchronization: “Metronome (pendulum swinging)” AndonicO / CC BY 2.5 (cropped)
- Response of Systems Subject to Irregular Fluctuations: “Sennen Harbour - waves breaking over the breakwater during a winter storm” Tom Corser / CC BY-SA 3.0 (cropped)
- Analysis of Nonlinear Quantum Systems: “Superconducting Quantum Chip with Dispersive Background” OJB Quantum / CC BY 4.0 (cropped)
- Model Estimation of Oscillators from Data: “Van der pol qualitative” EdRSantos / CC BY-SA 4.0 (cropped)
- Related lab (早川研究室): “Neighborhood of attractor of discretized Lorenz system. XYZ(28) plane” German A. Chernykh & Irina A. Chernykh / CC BY-SA 4.0 (cropped)
- Related lab (天谷研究室): “Electrode protecting a screw” Rémi Kaupp / CC BY-SA 3.0 (cropped)
- Related lab (奥富・紋野研究室): “Monmouth castle point cloud, created with Photosynth 01” John Cummings / CC BY-SA 3.0 (cropped)
- Related lab (田中研究室): “Пиксели матрицы видеорегистратора” Gribkov / CC BY 4.0 (cropped)
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