Electrical - Chaos, Fractals and Dynamical Systems (English)

18    Tuesday, February 11, 2025   

Starting a new Lecture Notes Series on Electrical - Chaos, Fractals and Dynamical Systems

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Electrical - Chaos, Fractals and Dynamical Systems By Lecture Notes together!

Lecture 1: Lecture - 1 Representations of Dynamical Systems

Lecture 2: Lecture - 2 Vector Fields of Nonlinear Systems

Lecture 3: Lecture - 3 Limit Cycles

Lecture 4: Lecture - 4 The Lorenz Equation - I

Lecture 5: Lecture - 5 The Lorenz Equation - II

Lecture 6: Lecture - 6 The Rossler Equation and Forced Pendulum

Lecture 7: Lecture - 7 The Chua's Circuit

Lecture 8: Lecture - 8 Discrete Time Dynamical Systems

Lecture 9: Lecture - 9 The Logistic Map and Period doubling

Lecture 10: Lecture - 10 Flip and Tangent Bifurcations

Lecture 11: Lecture - 11 Intermittency Transcritical and pitchfork

Lecture 12: Lecture - 12 Two Dimensional Maps

Lecture 13: Lecture - 13 Bifurcations in Two Dimensional Maps

Lecture 14: Lecture - 14 Introduction to Fractals

Lecture 15: Lecture - 15 Mandelbrot Sets and Julia Sets

Lecture 16: Lecture - 16 The Space Where Fractals Live

Lecture 17: Lecture - 17 Interactive Function Systems

Lecture 18: Lecture - 18 IFS Algorithms

Lecture 19: Lecture - 19 Fractal Image Compression

Lecture 20: Lecture - 20 Stable and Unstable Manifolds

Lecture 21: Lecture - 21 Boundary Crisis and Interior Crisis

Lecture 22: Lecture - 22 Statistics of Chaotic Attractors

Lecture 23: Lecture - 23 Matrix Times Circle : Ellipse

Lecture 24: Lecture - 24 Lyapunov Exponent

Lecture 25: Lecture - 25 Frequency Spectra of Orbits

Lecture 26: Lecture - 26 Dynamics on a Torus

Lecture 27: Lecture - 27 Dynamics on a Torus

Lecture 28: Lecture - 28 Analysis of Chaotic Time Series

Lecture 29: Lecture - 29 Analysis of Chaotic Time Series

Lecture 30: Lecture - 30 Lyapunou Function and Centre Manifold Theory

Lecture 31: Lecture - 31 Non-Smooth Bifurcations

Lecture 32: Lecture - 32 Non-Smooth Bifurcations

Lecture 33: Lecture - 33 Normal from for Piecewise Smooth 2D Maps

Lecture 34: Lecture - 34 Bifurcations in Piecewise Linear 2D Maps

Lecture 35: Lecture - 35 Bifurcations in Piecewise Linear 2D Maps

Lecture 36: Lecture - 36 Multiple Attractor Bifurcation and Dangerous

Lecture 37: Lecture - 37 Dynamics of Discontinuous Maps

Lecture 38: Lecture - 38 Introduction to Floquet Theory

Lecture 39: Lecture - 39 The Monodromy Matrix and the Saltation Matrix

Lecture 40: Lecture - 40 Control of Chaos