منابع مشابه
Vibration of the Duffing Oscillator: Effect of Fractional Damping
We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition to chaos in a case of the Duffing system with nonlinear fractional damping and external excitation. Using perturbation methods we have found a critical forcing amplitude above which the system may behave chaotically. The results have been verified by numerical simulations using standard nonlinear to...
متن کاملEfficient Solution of Nonlinear Duffing Oscillator
In this paper, the efficient multi-step differential transform method (EMsDTM) is applied to get the accurate approximate solutions for strongly nonlinear duffing oscillator. The main improvement of EMsDTM which is to reduce the number of arithmetic operations, is thoroughly investigated and compared with the classic multi-step differential transform method (MsDTM). To illustrate the applicabil...
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 کاملStochastic Response of Duffing Oscillator with Fractional or Variable-order Damping
This paper introduces a numerical technique for the estimation of stochastic response of the Duffing oscillator with fractional or variable order damping and driven by white noise excitation. The Wiener-Hermite expansion is integrated with the Grunwald-Letnikov approximation in case of fractional order damping and with Coimbra approximation in case of variableorder damping. The numerical solver...
متن کاملAnalysis of Fractional-order Chemical Oscillator
This paper provides the investigation of Sinusoidal oscillation in the incommensurate fractional Chemical Oscillator. We determine parametric range for which an incommensurate fractional order Chemical system with a specific order can perform as an undamped oscillator. Numerical simulations are presented to confirm the given analytical results.
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ژورنال
عنوان ژورنال: Revista Mexicana de Física
سال: 2020
ISSN: 2683-2224,0035-001X
DOI: 10.31349/revmexfis.66.187