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