Primary Interests & Methods:

• • nonlinear dynamical systems

  • resonance of limit cycle oscillators under periodic forcing

  • coupled oscillator systems & synchronization

  • delay differential equations (DDEs)

  • perturbation methods

  • bifurcation and stability theory

Additional Interests & Methods:

• • machine learning techniques (supervised and unsupervised)

  • gradient descent optimization algorithms

  • topological data analysis and persistent homology