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Applied Analysis Lab
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The lab models nonlinear phenomena with equations to uncover the principles behind them.
AboutAbout the lab
Uncovering the principles behind nonlinear phenomena
The Applied Analysis Lab studies a wide range of nonlinear phenomena that appear in mathematical physics and information science, modeling them as dynamical systems using differential equations, difference equations, and similar tools.
To carry out the analysis, the lab develops and applies new analytical and numerical-experimental methods, aiming to elucidate the principles underlying these phenomena.
Another goal is to feed the results back into analysis itself.
Professor Yoshie Sugiyama's research topic is partial differential equations, and Associate Professor Tsuyoshi Chawanya's is dynamical systems with many degrees of freedom.
Key terms
- Nonlinear phenomenon
- A phenomenon in which cause and effect are not simply proportional. Handling it mathematically requires careful methods of solution.
- Partial differential equation
- An equation that expresses the relationship between rates of change of a quantity that depends on multiple variables, such as time and position.
- Dynamical system
- A mathematical description of a mechanism in which a state changes over time.
- Difference equation
- An equation that treats time and similar variables as separate, discrete values and expresses how the next state is determined by the previous state.
ResearchResearch themes
The lab studies a wide range of nonlinear phenomena that appear in mathematical physics and information science, modeling them as dynamical systems using differential equations, difference equations, and similar tools. It develops and applies new methods for the analysis, aiming to elucidate the principles underlying these phenomena and to feed the results back into analysis itself.
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MembersFaculty
- ProfessorYoshie Sugiyama
- Associate ProfessorTsuyoshi Chawanya
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: “Lorenz yz x 0” German A. Chernykh & Irina A. Chernykh / CC BY-SA 4.0 (cropped)
- Mathematical Modeling and Analysis of Nonlinear Phenomena: “Nonlinear electro-mechanical wave observed in single molecule thin film of lipids, using voltage sensitive probes” Solitary85 / CC BY-SA 4.0 (cropped)
- Related lab (離散構造学講座): “Symmetries ( )” P K / CC BY 2.0 (cropped)
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