Chaos, Fractals and Dynamical Systems NPTEL
Online Free Online Course by
World Mentoring Academy
Online
/ Free Online Course
Details
Language: English
Units: 40
Lesson content
- Lec 1 Representations of Dynamical Systems
- Lec 2 Vector Fields of Nonlinear Systems
- Lec 3 Limit Cycles
- Lec 4 The Lorenz Equation - I
- Lec 5 The Lorenz Equation - II
- Lec 6 The Rossler Equation and Forced Pendulum
- Lec 7 The Chua's Circuit
- Lec 8 Discrete Time Dynamical Systems
- Lec 9 The Logistic Map and Period doubling
- Lec 10 Flip and Tangent Bifurcations
- Lec 11 Intermittency Transcritical and pitchfork
- Lec 12 Two Dimensional Maps
- Lec 13 Bifurcations in Two Dimensional Maps
- Lec 14 Introduction to Fractals
- Lec 15 Mandelbrot Sets and Julia Sets
- Lec 16 The Space Where Fractals Live
- Lec 17 Interactive Function Systems
- Lec 18 IFS Algorithms
- Lec 19 Fractal Image Compression
- Lec 20 Stable and Unstable Manifolds
- Lec 21 Boundary Crisis and Interior Crisis
- Lec 22 Statistics of Chaotic Attractors
- Lec 23 Matrix Times Circle : Ellipse
- Lec 24 Lyapunov Exponent
- Lec 25 Frequency Spectra of Orbits
- Lec 26 Dynamics on a Torus
- Lec 27 Dynamics on a Torus
- Lec 28 Analysis of Chaotic Time Series
- Lec 29 Analysis of Chaotic Time Series
- Lec 30 Lyapunou Function and Centre Manifold Theory
- Lec 31 Non-Smooth Bifurcations
- Lec 32 Non-Smooth Bifurcations
- Lec 33 Normal from for Piecewise Smooth 2D Maps
- Lec 34 Bifurcations in Piecewise Linear 2D Maps
- Lec 35 Bifurcations in Piecewise Linear 2D Maps
- Lec 36 Multiple Attractor Bifurcation and Dangerous
- Lec 37 Dynamics of Discontinuous Maps
- Lec 38 Introduction to Floquet Theory
- Lec 39 The Monodromy Matrix and the Saltation Matrix
- Lec 40 Control of Chaos
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