Dynamical System
The field of dynamical systems is concerned with the mathematical formulation of rules that describe temporal evolution. For example, the equations of motion in classical dynamics (ordinary differential equations) for describing the motion of a celestial body or a spinning top over time are well known, but dynamical systems also serve as models in various fields such as physics, ecology, and economics and for chemical reactions as well. A variety of dynamical systems have also come to be defined in the course of mathematics research. Dynamical system theory makes use of real analysis, algebraic geometry, topology, function theory, probability theory, numerical computations, and other techniques to investigate the properties of dynamical systems.
Academic Supervisors
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ISHII, Yutaka , Professor
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Dynamical System Theory |
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TSUJII, Masato , Professor
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Dynamical System Theory, Chaos, Ergodic Theory |
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TSUKAMOTO, Masaki , Professor
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Dynamical Systems, Ergodic Theory, Mean Dimension |
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NII, Shunsaku , Associate Professor
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Dynamical System Theory, Differential Equations, Applied Mathematics |
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MATSUE, Kaname* , Assistant Professor
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Dynamical Systems, Numerical Analysis, Rigorous Numerics, Singular Perturbation Theory, Differential Equations (Blow-up Solutions, Shock Waves), Singularities, Topology (including Computer Assisted Studies), Quantum Walks, Topology Optimizations, Combustion |
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NGUYEN, Dinh Hoa* , Assistant Professor
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Control Systems, Smart Grid, Distributed Optimization, Multi-Agent System, Consensus Control, Synchronization, Learning Systems, Optimal and Robust Control |
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TOYOKAWA, Hisayoshi* , Assistant Professor
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ergodic theory, dynamical system, random dynamical system |
Cooperative Professors
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NGUYEN, Dinh Hoa* , Assistant Professor
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Control Systems, Smart Grid, Distributed Optimization, Multi-Agent System, Consensus Control, Synchronization, Learning Systems, Optimal and Robust Control |
