Осцилятор Дуффинга. Астахов В.В - 37 стр.

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ω
2
2
A[exp(t) + exp(t)] +
α
2
A[exp(t) exp(t)] +
+
ω
2
0
2
A[exp(t) + exp(t)]
=
B
2
[exp(t) + exp(t)],
A(ω
2
0
ω
2
+ α) = B,
|A(ω
2
0
ω
2
+ α)| = |B|,
q
A
2
[(ω
2
0
ω
2
)
2
+ ω
2
α
2
] = B,
|A| =
B
p
(ω
2
0
ω
2
)
2
+ ω
2
α
2
.
α = 0
(ω ω
0
)
B = const
(|A| )
α
ω
2
(A) = ω
2
0
+
3
4
γA
2
.