Chaos, Fractals & Dynamic Systems

Video Lectures

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