Research

Research Topics

Neuroscience and Biological Systems

  • Formulation and Bifurcational classification of firing properties for neuron models
  • Bifurcational classification of firing properties for neuron models with input signal(sine wave, impulse stimuli, and rectangular wave)
  • Synchronizations and rhythms in coupled neuons or large scale network
  • Circadian rhythms in biological oscillators, and bistability and dependence on parameters in genetic toggle switch system

Nonlinear dynamical system and Bifurcation Theory

  • Analysis of nonlinear phenomena observed in dynamical systems
  • Implementation of calculation methods based on the bifurcation theory, and development of integrated environment for bifurcation analysis
  • Controlling chaos(theory and circuit implementation)
  • Bifurcation analysis and circuit implementation of electric circuit model based on neuronal dynamics
  • Bifurcations and synchronization in coupled oscillators
  • Digital arts and computer graphics by nonlinear dynamical system