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Also known as Kolmogorov entropy, Kolmogorov-Sinai entropy, or KS entropy. The metric entropy is 0 for nonchaotic motion and >0 for chaotic motion.
Any motion of a rigid body in space at every instant is a screw motion. This theorem was proved by Mozzi and Cauchy.
A linkage used in the original steam engine to turn back-and-forth motion into approximately straight-line motion.
An integral of motion which restricts the phase space available to a dynamical system.
Two unit-speed plane curves which have the same curvature differ only by a Euclidean motion.
A double rhomboid linkage which gives rectilinear motion from circular without an inversion.
The motion along a phase curve as a function of time (Tabor 1989, p. 14).
A linkage which converts circular to linear motion using a hinged square.
The van der Pol equation is an ordinary differential equation that can be derived from the Rayleigh differential equation by differentiating and setting y=y^'. It is an ...
The angular velocity omega is the time derivative of the angular distance theta with direction z^^ perpendicular to the plane of angular motion, omega=(dtheta)/(dt)z^^=(v)/r.
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