S.No |
Topic |
1 |
Representations of Dynamical Systems |
2 |
Vector Fields of Nonlinear Systems |
3 |
Limit Cycles |
4 |
The Lorenz Equation - I |
5 |
The Lorenz Equation - II |
6 |
The Rossler Equation and Forced Pendulum |
7 |
The Chua's Circuit |
8 |
Discrete Time Dynamical Systems |
9 |
The Logistic Map and Period doubling |
10 |
Flip and Tangent Bifurcations |
11 |
Intermittency Transcritical and pitchfork |
12 |
Two Dimensional Maps |
13 |
Bifurcations in Two Dimensional Maps |
14 |
Introduction to Fractals |
15 |
Mandelbrot Sets and Julia Sets |
16 |
The Space Where Fractals Live |
17 |
Interactive Function Systems |
18 |
IFS Algorithms |
19 |
Fractal Image Compression |
20 |
Stable and Unstable Manifolds |
21 |
Boundary Crisis and Interior Crisis |
22 |
Statistics of Chaotic Attractors |
23 |
Matrix Times Circle : Ellipse |
24 |
Lyapunov Exponent |
25 |
Frequency Spectra of Orbits |
26 |
Dynamics on a Torus |
27 |
Analysis of Chaotic Time Series |
28 |
Lyapunou Function and Centre Manifold Theory |
29 |
Non-Smooth Bifurcations |
30 |
Normal from for Piecewise Smooth 2D Maps |
31 |
Bifurcations in Piecewise Linear 2D Maps |
32 |
Multiple Attractor Bifurcation and Dangerous |
33 |
Dynamics of Discontinuous Maps |
34 |
Introduction to Floquet Theory |
35 |
The Monodromy Matrix and the Saltation Matrix |
36 |
Control of Chaos |