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CLASSICA DYNAMIC OF PARTICLES AND SYSTEMS Chapter 4. Nonlinear Oscillations and Chaos

CLASSICA DYNAMIC OF PARTICLES AND SYSTEMS Chapter 4. Nonlinear Oscillations and Chaos. Associate Professor: C. H.L IAO. Contents:. 4.1 Introduction 144 4.2 Nonlinear Oscillations 146 4.3 Phase Diagrams for Nonlinear Systems 150 4.4 Plane Pendulum 155

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Lagrangian

Lagrangian. Using the Lagrangian. Identify the degrees of freedom. One generalized coordinate for each Velocities as functions of generalized coordinates and velocities Find the Lagrangian Kinetic energy in terms of velocity components Potential energy in terms of generalized coordinates

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CLASSICA DYNAMIC OF PARTICLES AND SYSTEMS Chapter 4. Nonlinear Oscillations and Chaos

Lagrangian