Seminarium doktorskie - Mr Rizwan Karim: The Van Der Pol Duffing Oscillator: Integer and Fractional Order Dynamics.
Seminarium doktorskie - Mr Rizwan Karim: The Van Der Pol Duffing Oscillator: Integer and Fractional Order Dynamics.
Room 221, bldg. A22, Monday, September 15, 11:30.
Abstract:
The Van der Pol–Duffing oscillator is studied in both integer and fractional orders. The integer-order system shows nonlinear damping and cubic stiffness, leading to multistability, periodic, quasiperiodic, and chaotic behaviors. Extending the model with the Caputo fractional derivative introduces memory effects and simulations using the Fractional Adams–Bashforth–Moulton algorithm reveals altered attractors and richer dynamics, making fractional modeling more suitable for real-world engineering systems.
Image
Image
Image
Image
