Lecture - 3 Limit Cycles

Course Lectures

• Lecture - 1 Representations of Dynamical Systems

  Prof. S. Banerjee

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• Lecture - 2 Vector Fields of Nonlinear Systems

  Prof. S. Banerjee

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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

  Prof. S. Banerjee

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• Lecture - 6 The Rossler Equation and Forced Pendulum

  Prof. S. Banerjee

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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

  Prof. S. Banerjee

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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

  Prof. S. Banerjee

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• Lecture - 14 Introduction to Fractals

  Prof. S. Banerjee

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• Lecture - 15 Mandelbrot Sets and Julia Sets

  Prof. S. Banerjee

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• Lecture - 16 The Space Where Fractals Live

  Prof. S. Banerjee

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• Lecture - 17 Interactive Function Systems

  Prof. S. Banerjee

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• Lecture - 18 IFS Algorithms

  Prof. S. Banerjee

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• Lecture - 19 Fractal Image Compression

  Prof. S. Banerjee

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• Lecture - 20 Stable and Unstable Manifolds

  Prof. S. Banerjee

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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

  Prof. S. Banerjee

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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

  Prof. S. Banerjee

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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

  Prof. S. Banerjee

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• Lecture - 30 Lyapunou Function and Centre Manifold Theory

  Prof. S. Banerjee

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• Lecture - 31 Non-Smooth Bifurcations

  Prof. S. Banerjee

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• Lecture - 32 Non-Smooth Bifurcations

  Prof. S. Banerjee

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

  Prof. S. Banerjee

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• Lecture - 34 Bifurcations in Piecewise Linear 2D Maps

  Prof. S. Banerjee

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• Lecture - 35 Bifurcations in Piecewise Linear 2D Maps

  Prof. S. Banerjee

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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

  Prof. S. Banerjee

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• Lecture - 40 Control of Chaos

  Prof. S. Banerjee

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