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1-Dimensional Flows, Bifurcations, Lecture 1

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1-Dimensional Flows, Bifurcations, Lecture 2

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1-Dimensional Flows, Bifurcations, Lecture 3

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1-Dimensional Flows, Bifurcations, Lecture 4

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1-Dimensional Flows, Bifurcations, Lecture 5

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1-Dimensional Flows, Bifurcations, Lecture 6

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1-Dimensional Flows, Flows on the Circle, Lecture 1

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1-Dimensional Flows, Flows on the Circle, Lecture 2

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2-Dimensional Flows, Bifurcations, Lecture 1

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2-Dimensional Flows, Bifurcations, Lecture 2

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2-Dimensional Flows, Bifurcations, Lecture 3

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2-Dimensional Flows, Limit Cycles, Lecture 1

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2-Dimensional Flows, Limit Cycles, Lecture 2

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2-Dimensional Flows, Limit Cycles, Lecture 3

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2-Dimensional Flows, Linear Systems, Lecture 1

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2-Dimensional Flows, Linear Systems, Lecture 2

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2-Dimensional Flows, Linear Systems, Lecture 4

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2-Dimensional Flows, Phase Plane, Lecture 1

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2-Dimensional Flows, Phase Plane, Lecture 2

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2-Dimensional Flows, Phase Plane, Lecture 3

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Atomic Scattering Factor

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Coherence

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Contrast from Planar Defects

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Contrast from Strain Fields

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Cooper’s Problem, BCS Gap Equation

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Directions Planes and Zone Axes

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Interplanar Distances and Angles

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Introduction to Electrodynamics, Meissner Effect

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L1-Introduction

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L10-Bendixson Criterion and Poincare-Bendixson criterion. Example: Lotka Volterra Predator Prey Model

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L11-Bendixson and Poincare-Bendixson Criteria Van-Der-Pol Oscillator

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L12-Scilab Simulation of Lotka Volterra Predator Prey Model, Van-Der-Pol Oscillator Review of Linearization, Operating Point/Operating Trajectory

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L13-Signals, Operators

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L14-Norms of Signals, Systems (Operators) , Finite Gain L2 Stable

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L15-Nyquist Plots and Nyquist Criterion for Stability

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L16-Interconnection between Linear System & Non-Linearity, Passive Filters

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L17-Passive Filters, Dissipation Equality, Positive Real Lemma

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L18-Positive Real Lemma Proof

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L19-Definition for Positive Realness and Kalman Yakubovich-Popov Theorem

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L2-First Order Systems

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L20-Kalman-Yakubovich-Popov Lemma/Theorem and Memoryless Nonlinearities

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L21-Loop Tranformations and Circle Criterion

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L22-Nonlinearities Based on Circle Criterion

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L23-Limit Cycles

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L24-Popov Criterion Continuous, Frequency-Domain Theorem

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L25-Popov Criterion Continuous, Frequency-Domain Theorem

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L26-Describing Function Method

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L27-Describing Function :2

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L29-Describing : Optimal Gain

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L3-Classification of Equilibrium Points