2022
DOI: 10.3390/math10234475
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Analytical and Numerical Study on Forced and Damped Complex Duffing Oscillators

Abstract: In this work, some general forms for forced and damped complex Duffing oscillators (FDCDOs), including two different models, which are known as the forced and damped complex Duffing oscillator (I) (FDCDO (I)) and FDCDO (II), are investigated by using some effective analytical and numerical approaches. For the analytical approximation, the two models of the FDCDOs are reduced to two decoupled standard forced and damped Duffing oscillators (FDDOs). After that, both the ansatz method and Krylov–Bogoliubov–Mitropo… Show more

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Cited by 10 publications
(7 citation statements)
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“…13 and financial market Ref. 14, and we can make this for many other applied areas that use oscillating behavior.…”
Section: Resultsmentioning
confidence: 99%
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“…13 and financial market Ref. 14, and we can make this for many other applied areas that use oscillating behavior.…”
Section: Resultsmentioning
confidence: 99%
“…5 Several important oscillators with important applications in physics and engineering have attracted the attention of many researches. [12][13][14][15][16][17] For example, the excited spring pendulum has been studied well using the so-called multi-scale method, in which the authors obtained approximate solutions of the equations of motion of the system. 12,13 Furthermore, the Van-der Pol and Duffing oscillators have been considered in many works.…”
Section: Introductionmentioning
confidence: 99%
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