Nonlinear Resonances by Shanmuganathan Rajasekar & Miguel A. F. Sanjuan

Author:Shanmuganathan Rajasekar & Miguel A. F. Sanjuan
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

6.8.2 Integrative Time-Delayed Feedback

The integrative time-delayed feedback term is given by . With the following results are arrived [89]:

(6.45a)

(6.45b)

(6.45c)

(6.45d)

Notice the difference between the S’s given by Eqs. ( 6.41c) and ( 6.45b). Since the solution Y (t) is assumed to be periodic with period 2π∕ω, choose 0 < α < 2π∕ω.

For , β > 0 and (double-well potential case) the values of g at which resonance occurs are given by

(6.46)

(6.47)

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