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Classical Dynamics by Paul P. Cook and Neil Lambert
This note covers the following topics: Matrices, Coordinate systems, Newton and His Three Laws, Lagrangian Mechanics, Hamiltonian Mechanics.
Author(s): Paul P. Cook and Neil Lambert
113 Pages
Lecture Notes Mechanical Vibration and Structural Dynamics
The contents of this pdf include : Introduction to Mechanical Vibrations, Vibration Under Harmonic Forcing Conditions, Vibration Under General Forcing Conditions, Two and Multi - Dof System, Continuous Systems.
Author(s): G S D Madhav, Assistant Professor, Y Shwetha, Assistant Professor, G Ram Vishal, Assistant Professor, Department of Aeronautical Engineering, Institute of Aeronautical Engineering
131 Pages
Molecular Dynamics Lecture Notes
Molecular dynamics is a computer simulation technique where the time evolution of a set of interacting particles is followed by integrating their equation of motion. Topics covered includes: Classical mechanics, Statistical averaging, Physical models of the system, The time integration algorithm, Average properties, Static properties, Dynamic properties.
Author(s): Goran Wahnstrom
65 Pages
Dynamics by Dr Nopdanai Ajavakom
This note covers the following topics: Kinematics of Particles, Rectilinear, Curvilinear x-y, Normal-tangential n-t, Polar r-theta, Relative motion, Force Mass Acceleration, Work Energy, Impulse Momentum, Kinematics of Rigid Bodies, Rotation, Absolute Motion, Relative Velocity, Relative Acceleration, Motion Relative to Rotating Axes, Force Mass Acceleration and Kinetics of Rigid Bodies.
Author(s): Dr Nopdanai Ajavakom
NA Pages
This note explains the following topics: Newtonian Mechanics, Newtonian Gravitation, Simple Dynamical Systems, Fixed Points and Limit Cycles, Lagranian Mechanics, Central Force Motion, Scattering from Central Force Potential, Dynamics in Rotating Frames of Reference, Rigid Body Dynamics , Oscillations, Hamiltonian Mechanics, Canonical Transformations, Action-Angle Coordinates, Hamilton-Jacobi Theory.
Author(s): Gerhard Muller
NA Pages
Classical Dynamics Introduction
This set of lecture notes is an attempt to convey the excitement of classical dynamics from a contemporary point of view. Topics covered includes: Dynamical Systems, Newtonian System, Variational Principle and Lagrange equations, The Hamiltonian Formulation, Hamilton-Jacobi Theory, Non-linear Maps and Chaos.
Author(s): Chennai Mathematical Institute
123 Pages
This note covers the following topics: Circle Diffeomorphisms, The Combinatorics of Endomorphisms, Structural Stability and Hyperbolicity, Structure of Smooth Maps, Ergodic Properties and Invariant Measures, Renormalization.
Author(s): Welington de Melo and Sebastian van Strien
594 Pages
Introduction To Dynamics And Vibrations
This note provides a broad introduction to Newtonian dynamics of particles and rigid bodies with applications to engineering design. Topics covered includes: kinematics and dynamics of particles and rigid bodies, conservation laws, vibrations of single degree of freedom systems, and use of MATLAB to solve equations of motion and optimize engineering designs.
Author(s): Allan Bower, Jimmy Xu
NA Pages
This note the explains the following topics: Newton’s Laws of Motion, One-Dimensional Motion, Multi-Dimensional Motion, Planetary Motion, Two-Body Dynamics, Rotating Reference Frames, Rigid Body Rotation, Lagrangian Dynamics, Hamiltonian Dynamics, Coupled Oscillations, Gravitational Potential Theory, Lunar Motion and The Chaotic Pendulum.
Author(s): Richard Fitzpatrick
300 Pages
Dynamics by Prof. George Haller
This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies, steady motions and small deviations therefrom, gyroscopic effects, and causes of instability, free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane, nonholonomic systems, and an introduction to wave propagation in continuous systems.
Author(s): Prof. George Haller
NA Pages
Ordinary Differential Equations and Dynamical Systems [PDF]
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Applied Nonlinear Dynamics Lecture Notes
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NA Pages
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NA Pages
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NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
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Geometrical theory of dynamical systems
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