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Lecture Notes on Nonlinear Dynamics Daniel Arovas
Dynamics is the study of motion through phase space. The phase space of a given dynamical system is described as an N-dimensional manifold, M. The topics covered in this pdf are: Reference Materials, Dynamical Systems, Bifurcations, Two-Dimensional Phase Flows, Nonlinear Oscillators, Hamiltonian Mechanics, Maps, Strange Attractors, and Chaos, Ergodicity and the Approach to Equilibrium, Front Propagation, Pattern Formation, Solitons, Shock Waves.
Author(s): Daniel Arovas, Department of Physics, University of California, San Diego
364 Pages 
Introductory Lectures on Fluid Dynamics
This note describes the following topics: Equation of motion, Equations of motion for an inviscid fluid, Bernoulli equation, The vorticity field, Two dimensional flow of a homogeneous, incompressible, inviscid fluid and boundary layers in nonrotating fluids.
Author(s): Roger K Smith
60 Pages
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
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
Lectures notes On Machine Dynamics II
This note covers the following topics: Toothed Gears, Gyroscope, Cams, Governors, Balancing, Dynamics Of Machine, Vibration.
Author(s): Prof. Mihir Kumar Sutar
145 Pages
This note explains the following topics: Mechanisms, Gruebler’s equation, inversion of mechanism, Kinematics analysis, Inertia force in reciprocating parts, Friction clutches, Brakes and Dynamometers, Gear trains.
Author(s): Debasish Tripathy
70 Pages
This note describes the following topics: Newtonian mechanics, Forces and dynamics, Motion in one dimension, Motion in higher dimensions, Constrained systems, The Kepler problem, Systems of particles, Rotating frames and rigid bodies.
Author(s): James Sparks
95 Pages