Research

  • Nonlinear vibration of lumped mass systems
  • Systems governed by difference – differential equations
  • Nonlinear vibration of continuous systems (beans, plates, shells)
  • Bifurcation and catastrophe theories and their applications
  • Chaotic dynamics of mechanical and biomechanical systems
  • Development of algorithms and numerical methods
  • Dynamics and motion control
  • Biomechanics (brain, heart, skeleton, exosceleton, gait analysis, etc.)
  • Asymptotic techniques and symbolic computations
  • Systems with time delay
  • Mechanical systems with friction and impacts
  • Nonlinear ordinary and partial differential equations
  • Rigid body nonlinear dynamics