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Topics covered in the notes include : Introduction and Newton’s Laws , Kinematics, Forces, Energy, Motion near equilibrium, Damped vibrations, Conservation of momentum, Angular momentum and central forces, Waves on a string.
Author(s): Wojtek Zakrzewski
54 Pages
Lecture Notes on Dynamical Systems, Chaos And Fractal Geometry
Topics covered in this notes include: The Orbits of One-Dimensional Maps, Bifurcation and the Logistic Family, Sharkovsky’s Theorem, Metric Spaces, Devaney’s Definition of Chaos, Conjugacy of Dynamical Systems, Singer’s Theorem, Fractals, Newton’s Method, Iteration of Continuous Functions, Linear Transformation and Transformations Induced by Linear Transformations, Some Elementary Complex Dynamics, Examples of Substitutions, Compactness in Metric Spaces and the Metric Properties of Substitutions, Substitution Dynamical Systems, Sturmian Sequences and Irrational Rotations.
Author(s): Geoffrey R. Goodson, Towson University, Mathematics Department
272 Pages
This note explains the following topics: Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems, Work-energy concepts, Kinematics, Force-momentum formulation for systems of particles and rigid bodies in planar motion, Lagrange's equations for systems of particles and rigid bodies in planar motion, Virtual displacements and virtual work, Linearization of equations of motion, Linear stability analysis of mechanical systems.
Author(s): Prof. Nicholas Hadjiconstantinou, Prof. Peter So, Prof. Sanjay Sarma and Prof. Thomas Peacock
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
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
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
Lectures on Classical Dynamics
This is a second course in classical mechanics, given to final year undergraduates. They were last updated in July 2012. Individual chapters and problem sheets are available below. The full set of lecture notes, weighing in at around 130 pages, can be downloaded here. This contains the following categories: Newtonian Mechanics, The Lagrangian Formulation, The Motion of Rigid Bodies, The Hamiltonian Formulation. The lecture notes can be downloaded in both PDF and PS formats
Author(s): David Tong, Cambridge University
NA Pages
This note covers the following topics: Projectile Motion, scillations: Mass on a Spring, forced Oscillations, Polar co-ordinates, Simple Pendulum, Motion Under a Central Force, Kepler’s Laws, Polar equations of motion, Differential Equation for the Particle Path, Planetary motion, Momentum, Angular Momentum and Energy, Particle Motion under Gravity on Surface of Revolution with Vertical Axis of Symmetry, Stability and Instability, Rotating Systems, Many particle systems, Rigid body motion, Axisymmetric top.
Author(s): Prof. Sheila Widnall, Prof. John Deyst and Prof. Edward Greitzer
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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Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Dynamical Theories of Brownian Motion [PDF 120p]
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Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Geometrical theory of dynamical systems
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Author(s): NA
NA Pages
Dynamical Systems and Fractals Lecture Notes
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Author(s): NA
NA PagesAdvertisement
