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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