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Electrical & Electronics Engineering

Chaos, Fractals & Dynamic Systems

Chaos, Fractals & Dynamic Systems

01 Representations of Dynamical Systems

02 Vector Fields of Nonlinear Systems

03 Limit Cycles

04 The Lorenz Equation - I

05 The Lorenz Equation - II

06 The Rossler Equation and Forced Pendulum

07 The Chua's Circuit

08 Discrete Time Dynamical Systems

09 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 Dynamics on a Torus

28 Analysis of Chaotic Time Series

29 Analysis of Chaotic Time Series

30 Lyapunou Function and Centre Manifold Theory

31 Non-Smooth Bifurcations

32 Non-Smooth Bifurcations

33 Normal from for Piecewise Smooth 2D Maps

34 Bifurcations in Piecewise Linear 2D Maps

35 Bifurcations in Piecewise Linear 2D Maps

36 Multiple Attractor Bifurcation and Dangerous

37 Dynamics of Discontinuous Maps

38 Introduction to Floquet Theory

39 The Monodromy Matrix and the Saltation Matrix

40 Control of Chaos

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