Erratum to: Complex period-1 motions of a periodically forced Duffing oscillator with a time-delay feedback
نویسندگان
چکیده
منابع مشابه
Period-m Motions to Chaos in a Periodically Forced, Duffing Oscillator with a Time-Delayed Displacement
In this paper, periodic motions in a periodically excited, Duffing oscillator with a time-delayed displacement are investigated through the Fourier series, and the stability and bifurcation of such periodic motions are discussed through eigenvalue analysis. The time-delayed displacement is from the feedback control of displacement. The analytical bifurcation trees of period-1 motions to chaos i...
متن کاملPHYS 4367 Final Project: Dynamics of the Periodically Forced Duffing Oscillator
We investigate the behavior of a Duffing oscillator subjected to lateral periodic forcing. In our study, we analyze a mechanical model and compare our experimental data to computer simulations of the system. We have estimated the parameters of the model ODE so that the simulations provide a reasonable approximation to the physical system. We compare time series plots, Poincaré sections, and we ...
متن کاملNonlinear Dynamics of a Periodically Driven Duffing Resonator Coupled to a Van der Pol Oscillator
We explore the dynamics of a periodically driven Duffing resonator coupled elastically to a van der Pol oscillator in the case of 1 : 1 internal resonance in the cases of weak and strong coupling. Whilst strong coupling leads to dominating synchronization, the weak coupling case leads to a multitude of complex behaviours. A two-time scales method is used to obtain the frequencyamplitude modulat...
متن کاملStability Analysis of a Strongly Displacement Time-Delayed Duffing Oscillator Using Multiple Scales Homotopy Perturbation Method
In the present study, some perturbation methods are applied to Duffing equations having a displacement time-delayed variable to study the stability of such systems. Two approaches are considered to analyze Duffing oscillator having a strong delayed variable. The homotopy perturbation method is applied through the frequency analysis and nonlinear frequency is formulated as a function of all the ...
متن کاملChaotic dynamics of a Rayleigh-Duffing oscillator with periodically external and parametric excitations*
Chaotic motions of a Rayleigh-Duffing oscillator with periodically external and parametric excitations are investigated rigorously. Chaos arising from intersections of homoclinic orbits is analyzed with the Melnikov method. The critical curves separating the chaotic and non-chaotic regions are obtained. The chaotic feature on the system parameters is discussed. Chaotic dynamics are also compare...
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ژورنال
عنوان ژورنال: International Journal of Dynamics and Control
سال: 2014
ISSN: 2195-268X,2195-2698
DOI: 10.1007/s40435-014-0109-2