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equation of motion

   Also found in: Wikipedia, Hutchinson 0.02 sec.
equation of motion [i′kwā·zhən əv ′mō·shən]
(fluid mechanics)
One of a set of hydrodynamical equations representing the application of Newton's second law of motion to a fluid system; the total acceleration on an individual fluid particle is equated to the sum of the forces acting on the particle within the fluid.
(mechanics)
Equation which specifies the coordinates of particles as functions of time.
A differential equation, or one of several such equations, from which the coordinates of particles as functions of time can be obtained if the initial positions and velocities of the particles are known.
(quantum mechanics)
A differential equation which enables one to predict the statistical distribution of the results of any measurement upon a system at any time if the initial dynamical state of the system is known.


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Now, start again with a (simplified) equation of motion (momentum) in vector form:
1 Molecular dynamics: Computational technique to simulate a dynamic behavior of a molecule based on Newton's equation of motion which parameters are interactions between atoms in a molecule.
The ease with which Ott and Sommerer found their example and the fact that there is nothing particularly special about the chosen equation of motion suggest that riddled systems may be relatively common - albeit not as ubiquitous as chaotic systems.
 
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