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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 
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
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
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
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
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
Introduction to Statics and Dynamics
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Author(s): NA
NA Pages
Ordinary Differential Equations and Dynamical Systems [PDF]
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Dynamical Theories of Brownian Motion [PDF 120p]
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Geometrical theory of dynamical systems
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NA Pages
Dynamical Systems and Fractals Lecture Notes
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Author(s): NA
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