Nonlinear Dynamical Systems in Engineering by Vasile Marinca & Nicolae Herisanu
Author:Vasile Marinca & Nicolae Herisanu
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg
(6.412)
where ω and a are known parameters.
Initial conditions are:
Under the transformation:
(6.413)
the original Eq. 6.412 becomes
(6.414)
with initial conditions
(6.415)
where prime denote derivative with respect to τ
The linear operator Eq. 6.34 is given by
(6.416)
while the nonlinear operator Eq. 6.35 is defined by
(6.417)
Because we consider only one iteration it follows that λ = 0.
The Eq. 6.44 becomes
(6.418)
and has the solution
(6.419)
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