Field of Study

Nonlinear and Stochastic Dynamics

Keywords: _Nonlinear Dynamics / Stochastic Dynamics / Nonlinear Oscillation / Random Vibration Synchronization / Self-organization / Networks / Higher-order interactions

Prof. Nakao

Nonlinear dynamics, Stochastic processes / Self-organization, Synchronization and pattern formation, Collective network dynamics / Dynamics reduction theory, Quantum dissipative systems

Assistant Prof. Tsuchida

My research interest is to clarify the vibration and response characteristics of mechanical and structural systems under various environments by using theoretical and numerical methods based on vibration and probability theory, and to obtain knowledge that contributes to improving of functions, safety and reliability of the systems. I am particularly interested in non-Gaussian random vibration phenomena and fractional dynamic systems.

Current Research Subjects

1. Reduction analysis, control, and optimization of rhythms and synchronization

2. Response analysis of systems driven by non-Gaussian random excitation

3. Analysis of nonlinear quantum systems

4. Data-driven analysis of synchronization phenomena

5. Extraction of mechanical information by using neural networks

6. Prediction error analysis of chaotic time series by using reservoir computing

7. Koopman operator analysis of nonlinear dynamical systems

8. Response analysis of systems with fractional derivatives