Chaos, Fractals & Dynamic Systems

Video Lectures

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