NDLI: On the quasi-periodic response in the delayed forced Duffing oscillator

Content Provider	Springer Nature Link
Author	Kirrou, Ilham Belhaq, Mohamed
Copyright Year	2016
Abstract	We explore the quasi-periodic (QP) vibrations in a delayed Duffing equation submitted to periodic forcing. The second-step perturbation method is applied on the slow flow of the oscillator to derive the slow–slow flow near the primary resonance. The QP solution corresponding to the nontrivial equilibrium of the slow–slow flow as well as its modulation envelope is predicted analytically. The influence of different system parameters on the QP response is reported and discussed. The analytical results show that for weak nonlinearity and small damping large-amplitude QP vibration induced by destabilization of limit cycle via Neimark–Sacker bifurcation occurs in a broadband of the excitation frequency and in large range of delay parameters.
Starting Page	2069
Ending Page	2078
Page Count	10
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	84
Issue Number	4
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-02-04
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Quasi-periodic response Duffing oscillator Time delay Perturbation analysis Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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