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Unformatted text preview: 2 Hint: The gradient vector n ( x, y, z ) = 2 rx ˆ i + 2 σy ˆ j + 2 σ ( z-2 r ) ˆ k (1) is normal to the ellipsoid at the point ( x, y, z ) and points outward . The ellipsoid will be trapping if the dot product n ( x, y, z ) · f ( x, y, z ) < for all ( x, y, z ) on the ellipsoid, where f is the Lorenz vector ﬁeld. See also the hint in the back of the book....
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This note was uploaded on 02/17/2010 for the course MATH 142532 taught by Professor Glasner during the Spring '10 term at Arizona.
- Spring '10