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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 covers the following topics:Dynamics of a Single Particle, Kinematics of a Single Particle, Kinetics of a Single Particle, Lagrange�s Equations of Motion for a Single Particle, Dynamics of a System of Particles, Dynamics of Systems of Particles, Kinematics and Dynamics of a Single Rigid Body, Constraints on and Potentials for Rigid Bodies, Kinetics of a Rigid Body, Lagrange�s Equations of Motion for a Single Rigid Body.

Author(s): Oliver M. OReilly

368 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 Dynamics and Relativity

This is an introductory course on Newtonian mechanics and special relativity given to first year undergraduates. The notes were last updated in April 2012. Individual chapters and problem sheets are available on the link below. The full set of lecture notes come in around 145 pages and can be downloaded here. This covers the following topics: Newtonian Mechanics, Forces, Interlude, Dimensional Analysis, Systems of Particles, Central Forces, Rigid Bodies, Non-Inertial Frames and Special Relativity.The lecture notes can be downloaded in both PDF and PS formats

Author(s): David Tong, Cambridge University

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

Dynamics Notes

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

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Lecture Notes on Dynamical Systems, Chaos And Fractal Geometry

Lecture Notes on Dynamical Systems, Chaos And Fractal Geometry

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