Lecture - 30 Lyapunou Function and Centre Manifold Theory | Courses.com

Course Lectures

Lecture - 1 Representations of Dynamical Systems
Prof. S. Banerjee

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Lecture - 2 Vector Fields of Nonlinear Systems
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Lecture - 3 Limit Cycles
Prof. S. Banerjee

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Lecture - 4 The Lorenz Equation - I
Prof. S. Banerjee

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Lecture - 5 The Lorenz Equation - II
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Lecture - 6 The Rossler Equation and Forced Pendulum
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Lecture - 7 The Chua's Circuit
Prof. S. Banerjee

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Lecture - 8 Discrete Time Dynamical Systems
Prof. S. Banerjee

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Lecture - 9 The Logistic Map and Period doubling
Prof. S. Banerjee

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Lecture - 10 Flip and Tangent Bifurcations
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Lecture - 11 Intermittency Transcritical and pitchfork
Prof. S. Banerjee

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Lecture - 12 Two Dimensional Maps
Prof. S. Banerjee

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Lecture - 13 Bifurcations in Two Dimensional Maps
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Lecture - 14 Introduction to Fractals
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Lecture - 15 Mandelbrot Sets and Julia Sets
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Lecture - 16 The Space Where Fractals Live
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Lecture - 17 Interactive Function Systems
Prof. S. Banerjee

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Lecture - 18 IFS Algorithms
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Lecture - 19 Fractal Image Compression
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Lecture - 20 Stable and Unstable Manifolds
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Lecture - 21 Boundary Crisis and Interior Crisis
Prof. S. Banerjee

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Lecture - 22 Statistics of Chaotic Attractors
Prof. S. Banerjee

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Lecture - 23 Matrix Times Circle : Ellipse
Prof. S. Banerjee

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Lecture - 24 Lyapunov Exponent
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Lecture - 25 Frequency Spectra of Orbits
Prof. S. Banerjee

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Lecture - 26 Dynamics on a Torus
Prof. S. Banerjee

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Lecture - 27 Dynamics on a Torus
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Lecture - 28 Analysis of Chaotic Time Series
Prof. S. Banerjee

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Lecture - 29 Analysis of Chaotic Time Series
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Lecture - 30 Lyapunou Function and Centre Manifold Theory
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Lecture - 31 Non-Smooth Bifurcations
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Lecture - 32 Non-Smooth Bifurcations
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Lecture - 33 Normal from for Piecewise Smooth 2D Maps
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Lecture - 34 Bifurcations in Piecewise Linear 2D Maps
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Lecture - 35 Bifurcations in Piecewise Linear 2D Maps
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Lecture - 36 Multiple Attractor Bifurcation and Dangerous
Prof. S. Banerjee

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Lecture - 37 Dynamics of Discontinuous Maps
Prof. S. Banerjee

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Lecture - 38 Introduction to Floquet Theory
Prof. S. Banerjee

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Lecture - 39 The Monodromy Matrix and the Saltation Matrix
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Lecture - 40 Control of Chaos
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