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Lecture

# Lecture - 14 Introduction to Fractals

Home > Engineering > Electrical Engineering > Chaos, Fractals & Dynamical Systems > Lecture - 14 Introduction to Fractals Lectures:
• ### Lecture - 1 Representations of Dynamical Systems

00:54:56Prof. S. Banerjee
• ### Lecture - 2 Vector Fields of Nonlinear Systems

00:56:44Prof. S. Banerjee
• ### Lecture - 3 Limit Cycles

00:56:22Prof. S. Banerjee
• ### Lecture - 4 The Lorenz Equation - I

00:53:35Prof. S. Banerjee
• ### Lecture - 5 The Lorenz Equation - II

00:56:37Prof. S. Banerjee
• ### Lecture - 6 The Rossler Equation and Forced Pendulum

00:58:11Prof. S. Banerjee
• ### Lecture - 7 The Chua's Circuit

00:54:41Prof. S. Banerjee
• ### Lecture - 8 Discrete Time Dynamical Systems

00:55:37Prof. S. Banerjee
• ### Lecture - 9 The Logistic Map and Period doubling

00:55:25Prof. S. Banerjee
• ### Lecture - 10 Flip and Tangent Bifurcations

00:56:20Prof. S. Banerjee
• ### Lecture - 11 Intermittency Transcritical and pitchfork

00:55:31Prof. S. Banerjee
• ### Lecture - 12 Two Dimensional Maps

00:54:49Prof. S. Banerjee
• ### Lecture - 13 Bifurcations in Two Dimensional Maps

00:53:47Prof. S. Banerjee
• ### Lecture - 14 Introduction to Fractals

00:52:29Prof. S. Banerjee
• ### Lecture - 15 Mandelbrot Sets and Julia Sets

00:53:37Prof. S. Banerjee
• ### Lecture - 16 The Space Where Fractals Live

00:53:59Prof. S. Banerjee
• ### Lecture - 17 Interactive Function Systems

00:56:03Prof. S. Banerjee
• ### Lecture - 18 IFS Algorithms

00:55:00Prof. S. Banerjee
• ### Lecture - 19 Fractal Image Compression

00:51:25Prof. S. Banerjee
• ### Lecture - 20 Stable and Unstable Manifolds

00:55:24Prof. S. Banerjee
• ### Lecture - 21 Boundary Crisis and Interior Crisis

00:56:52Prof. S. Banerjee
• ### Lecture - 22 Statistics of Chaotic Attractors

00:57:04Prof. S. Banerjee
• ### Lecture - 23 Matrix Times Circle : Ellipse

00:52:26Prof. S. Banerjee
• ### Lecture - 24 Lyapunov Exponent

00:53:22Prof. S. Banerjee
• ### Lecture - 25 Frequency Spectra of Orbits

00:55:28Prof. S. Banerjee
• ### Lecture - 26 Dynamics on a Torus

00:54:41Prof. S. Banerjee
• ### Lecture - 27 Dynamics on a Torus

00:54:48Prof. S. Banerjee
• ### Lecture - 28 Analysis of Chaotic Time Series

00:56:10Prof. S. Banerjee
• ### Lecture - 29 Analysis of Chaotic Time Series

00:51:12Prof. S. Banerjee
• ### Lecture - 30 Lyapunou Function and Centre Manifold Theory

01:00:42Prof. S. Banerjee
• ### Lecture - 31 Non-Smooth Bifurcations

00:54:19Prof. S. Banerjee
• ### Lecture - 32 Non-Smooth Bifurcations

00:54:51Prof. S. Banerjee
• ### Lecture - 33 Normal from for Piecewise Smooth 2D Maps

00:54:10Prof. S. Banerjee
• ### Lecture - 34 Bifurcations in Piecewise Linear 2D Maps

00:55:32Prof. S. Banerjee
• ### Lecture - 35 Bifurcations in Piecewise Linear 2D Maps

00:52:59Prof. S. Banerjee
• ### Lecture - 36 Multiple Attractor Bifurcation and Dangerous

00:59:21Prof. S. Banerjee
• ### Lecture - 37 Dynamics of Discontinuous Maps

00:56:39Prof. S. Banerjee
• ### Lecture - 38 Introduction to Floquet Theory

00:57:11Prof. S. Banerjee
• ### Lecture - 39 The Monodromy Matrix and the Saltation Matrix

00:57:37Prof. S. Banerjee
• ### Lecture - 40 Control of Chaos

00:54:17Prof. S. Banerjee
Course Material: