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(1)
Application of the averaging method to the gyrokinetic plasma
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Introduction to Nonlinear Mechanics
Introduction to Nonlinear Mechanics,N. N. Krylov,N. N. Bogoliubov
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Introduction to Nonlinear Mechanics
(
Citations: 169
)
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N. N. Krylov
,
N. N. Bogoliubov
Cumulative
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Citation Context
(57)
...These two authors developed a general algorithm and proved that the solutions of the averaged system approximate the exact solutions ([9,
10
])...
A. K. Abramyan
,
et al.
Oscillations of a beam with a timevarying mass
...Now we note that to system (15), the standard averaging techniques with respect φ can be applied (see, e.g., [2,
6
, 8])...
R. Vrabel
,
et al.
Frequency control of singularly perturbed forced duffing’s oscillator
...In solving the system equations we use the Kryloff Method of First Approximation, which replaces functions of slowly varying quantities by their respective timeaveraged values, under assumption of quasiharmonic oscillation [
6
]...
...Using the quasiharmonic approximations [
6
], from (3),...
Diptendu Ghosh
,
et al.
Evolution of Oscillation in a Quadrature Oscillator
...As applies to our problem, we use the averaging method known in the literature as the Krylov– Bogolyubov method [
7
]...
N. A. Lyul’ko
.
On instability under small periodic perturbation of twodimensional hy...
...The idea of considering equations of vanishing oscillations is similar to the one of the KrylovBogoliubov method [
11
]...
Igor M. Boiko
.
Dynamic harmonic balance and its application to analysis of convergenc...
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Citations
(169)
The association between antiphospholipid antibodies and placenta mediated complications: A systematic review and metaanalysis
(
Citations: 1
)
Karim AbouNassar
,
Marc Carrier
,
Tim Ramsay
,
Marc A. Rodger
Journal:
Thrombosis Research  THROMB RES
, vol. 128, no. 1, pp. 7785, 2011
Oscillations of a beam with a timevarying mass
(
Citations: 1
)
A. K. Abramyan
,
S. A. Vakulenko
Journal:
Nonlinear Dynamics
, vol. 63, no. 1, pp. 135147, 2011
Frequency control of singularly perturbed forced duffing’s oscillator
R. Vrabel
,
M. Abas
Journal:
Journal of Dynamical and Control Systems  J DYN CONTROL SYST
, vol. 17, no. 3, pp. 451467, 2011
KBM method based on the homotopy analysis
Yanbin Liu
,
Yushu Chen
Journal:
Science Chinaphysics Mechanics & Astronomy  SCI CHINAPHYS MECH ASTRON
, vol. 54, no. 6, pp. 11371140, 2011
Evolution of Oscillation in a Quadrature Oscillator
Diptendu Ghosh
,
Ranjit Gharpurey
Conference:
VLSI Design
, pp. 3640, 2011