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Example
We continue to use the example introduced in
§2.1 and
Figure 2.1.
We now consider the case of unit masses
but nonzero damping constants
.
(The case of nonunit masses is handled in §2.6.8.)
This simplifies the equations
of motion to
.
We solve them by changing variables to
yielding
We again solve by substituting
, where
is
a constant vector and
is a constant scalar to be determined.
This yields
Thus
is an eigenvector
and
is an eigenvalue of the non-Hermitian matrix
.
Susan Blackford
2000-11-20