Results 21 to 30 of about 7,745 (207)
Duffing revisited: Phase-shift control and internal resonance in self-sustained oscillators [PDF]
, 2015 We address two aspects of the dynamics of the forced Duffing oscillator which are relevant to the technology of micromechanical devices and, at the same time, have intrinsic significance to the field of nonlinear oscillating systems.
Arroyo, Sebastián I. +1 more
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STUDY OF THE SINGULAR POINTS OF THE FRACTIONAL OSCILLATOR VAN DER POL-DUFFING [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 A study is conducted on the asymptotic stability of the rest points of the fractional oscillator Van der Pol-Duffing. The fractional van der Pol-Duffing oscillator is an oscillatory system of two differential equations with fractional order derivatives ...
Е. R. Novikova
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On artifact solutions of semi-analytic methods in nonlinear dynamics [PDF]
, 2018 Nonlinear dynamics is a topic of permanent interest in mechanics since decades. The authors have recently published some results on a very classical topic, the dynamics of a softening Duffing oscillator under harmonic excitation focusing especially on ...
Lentz, Lukas, Wagner, Utz von
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The simplest approach to nonlinear oscillators
Results in Physics, 2019 This paper gives the simplest approach to the cubic-quintic Duffing equation (M.S.H. Chowdhury et al., Results in Physics 7(2017): 3962–3967), providing an extremely fast and relatively accurate estimation of the frequency of a nonlinear conservative ...
Ji-Huan He
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VAN DER POL-DUFFING OSCILLATOR WITH THE EFFECT OF HEREDITARY [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The paper presents a new mathematical model of the van der Pol oscillator, Duffing with external periodic influence given hereditarity. An algorithm for finding the numerical solution of the original model equation, which is based on the finite ...
Novikovа E. R.
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Mechanical Chaotic Duffing System with Magnetic Springs
Inventions, 2023 Mechanical systems with inherent chaotic behavior are of notable practical interest due to their applicability in many fields of technology, from industrial mills and concrete mixers to microscopic micromechanical random bit generators.
Artur Karimov +5 more
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The dynamics of the pendulum suspended on the forced Duffing oscillator [PDF]
, 2012 We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic solutions of ...
Brzeski, Piotr +3 more
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Nonlinearity and nonclassicality in a nanomechanical resonator [PDF]
, 2015 We address quantitatively the relationship between the nonlinearity of a mechanical resonator and the nonclassicality of its ground state. In particular, we analyze the nonclassical properties of the nonlinear Duffing oscillator (being driven or not) as ...
Ferraro, Alessandro +3 more
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On some aspects of the dynamic behavior of the softening Duffing oscillator under harmonic excitation [PDF]
, 2016 The Duffing oscillator is probably the most popular example of a nonlinear oscillator in dynamics. Considering the case of softening Duffing oscillator with weak damping and harmonic excitation and performing standard methods like harmonic balance or ...
Lentz, Lukas, Wagner, Utz von
core +1 more source
Advances in Mechanical Engineering, 2014 This paper is to propose a novel fault diagnosis method for broken rotor bars in squirrel-cage induction motor of hoister, which is based on duffing oscillator and multifractal dimension. Firstly, based on the analysis of the structure and performance of
Zhike Zhao, Xin Wang, Xiaoguang Zhang
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