Dynamics and Dynamical Systems

List of symbols and notations

A, B… points in space, curves, surfaces and solids
, matrices and operators
A, B… a, b… units
, , variables or modules of vectors
, , vectors
, , unit vectors
scalar product of two vectors
vector product of two vectors
derivative of variable with respect to
, derivatives of variable with respect to time
average value of variable
acceleration vector
normal (centripetal) acceleration
tangential acceleration
cartesian components of the acceleration
drag coefficient
cm centimeter; also, center of mass
moment arm of a force
e Euler's number (base of the natural logarithms)
kinetic energy
mechanical energy
, normal and tangential unit vectors
, unit vectors in phase space
elastic force
frictional force
weight (gravitational force)
kinetic and static frictional forces
normal and tangential components of the force
resisting force in a fluid
acceleration of gravity
hamiltonian function
i imaginary number
moments of inertia with respect to the z axis and an axis through the center of mass
cartesian unit vectors along the , and axes
jacobian matrix
J joule (SI unit of work and energy)
elastic constant
kg kilogram (SI unit of mass)
angular momentum
effective length of a pendulum
m meter (SI unit of length)
force moment of a couple
moment of a force about a point P
N newton (SI unit of force)
normal force
Reynolds number
unit vector perpendicular to a plane
quantity of motion (momentum)
position vector
radius of gyration
curvature radius of a trajectory
cylindrical coordinates
unit vectors in cylindrical coordinates
position along the trajectory; also, deformation of a spring
second (SI unit of time)
period in a uniform circular motion or an oscillatory motion
phase velocity
potential energy
elastic potential energy
gravitational potential energy
potential energy per unit mass
velocity vector
cartesian components of the velocity
cartesian coordinates
angular acceleration
increase of variable during an interval of time
displacement vector
displacement along the trajectory
coefficient of viscosity
rotation angle of the normal and tangential unit vectors
eigenvalue of a matrix; also, Lagrange multiplier
coefficients of static and kinetic friction
ratio between the length of a circumference and its diameter
angular velocity
angular frequency
° degree (unit of angle)