Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos

Cornell MAE via YouTube Direct link

MAE5790-7 Conservative Systems

7 of 25

7 of 25

MAE5790-7 Conservative Systems

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Classroom Contents

Nonlinear Dynamics and Chaos

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  1. 1 MAE5790-1 Course introduction and overview
  2. 2 MAE5790-2 One dimensional Systems
  3. 3 MAE5790-3 Overdamped bead on a rotating hoop
  4. 4 MAE5790-4 Model of an insect outbreak
  5. 5 MAE5790-5 Two dimensional linear systems
  6. 6 MAE5790-6 Two dimensional nonlinear systems fixed points
  7. 7 MAE5790-7 Conservative Systems
  8. 8 MAE5790-8 Index theory and introduction to limit cycles
  9. 9 MAE5790-9 Testing for closed orbits
  10. 10 MAE5790-10 van der Pol oscillator
  11. 11 MAE5790-11 Averaging theory for weakly nonlinear oscillators
  12. 12 MAE5790-12 Bifurcations in two dimensional systems
  13. 13 MAE5790-13 Hopf bifurcations in aeroelastic instabilities and chemical oscillators
  14. 14 MAE5790-14 Global bifurcations of cycles
  15. 15 MAE5790-15 Chaotic waterwheel
  16. 16 MAE5790-16 waterwheel equations and Lorenz equations
  17. 17 MAE5790-17 Chaos in the Lorenz equations
  18. 18 MAE5790-18 Strange attractor for the Lorenz equations
  19. 19 MAE5790-19 One dimensional maps
  20. 20 MAE5790-20 Universal aspects of period doubling
  21. 21 MAE5790-21 Feigenbaum's renormalization analysis of period doubling
  22. 22 MAE5790-22 Renormalization: Function space and a hands-on calculation
  23. 23 MAE5790-23 Fractals and the geometry of strange attractors
  24. 24 MAE5790-24 Hénon map
  25. 25 MAE5790-25 Using chaos to send secret messages

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