Learn · Chaos, Fractals & Dynamic Systems
Lecture 14 of 40Chaos, Fractals & Dynamic Systems
Introduction to Fractals
Prof. S. Banerjee · IIT Kharagpur
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- Chaos, Fractals & Dynamic Systems, IIT Kharagpur (at NPTEL)
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All the lectures
- Representations of Dynamical Systems
- Vector Fields of Nonlinear Systems
- Limit Cycles
- The Lorenz Equation - I
- The Lorenz Equation - II
- The Rossler Equation and Forced Pendulum
- The Chua's Circuit
- Discrete Time Dynamical Systems
- The Logistic Map and Period doubling
- Flip and Tangent Bifurcations
- Intermittency Transcritical and pitchfork
- Two Dimensional Maps
- Bifurcations in Two Dimensional Maps
- Introduction to Fractals
- Mandelbrot Sets and Julia Sets
- The Space Where Fractals Live
- Interactive Function Systems
- IFS Algorithms
- Fractal Image Compression
- Stable and Unstable Manifolds
- Boundary Crisis and Interior Crisis
- Statistics of Chaotic Attractors
- Matrix Times Circle : Ellipse
- Lyapunov Exponent
- Frequency Spectra of Orbits
- Dynamics on a Torus
- Dynamics on a Torus
- Analysis of Chaotic Time Series
- Analysis of Chaotic Time Series
- Lyapunou Function and Centre Manifold Theory
- Non-Smooth Bifurcations
- Non-Smooth Bifurcations
- Normal from for Piecewise Smooth 2D Maps
- Bifurcations in Piecewise Linear 2D Maps
- Bifurcations in Piecewise Linear 2D Maps
- Multiple Attractor Bifurcation and Dangerous
- Dynamics of Discontinuous Maps
- Introduction to Floquet Theory
- The Monodromy Matrix and the Saltation Matrix
- Control of Chaos