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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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Characterization in bi-parameter space of a non-ideal oscillator [PDF]
, 2017 The authors thank scientific agencies CAPES, CNPq (112952/2015-1), and FAPESP (2011/ 19269-11). M. S.
Balthazar, J. M. +4 more
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Transition Through Resonance of a Duffing Oscillator [PDF]
SIAM Journal on Applied Mathematics, 1979 This note describes the transition through resonance of a weakly nonlinear oscillator. The oscillator is described by Duffing’s equation and the forcing frequency varies very slowly in the neighborhood of the natural frequency of the linearized equation. When the damping is sufficiently small, oscillations are excited on a wide variety of timescales.
Collinge, I, Ockendon, J
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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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Duffing Oscillator and Recurrence Network
Brazilian Journal of Physics, 2022 New techniques for analyzing nonlinear and complex systems continue to be developed in order to better characterize such systems. In this study, use is made of numerical series that are generated by an experimental Duffing oscillator. Time series are converted to phase spaces using the reconstruction technique.
Guênia Ladeira, José-Manoel Balthazar
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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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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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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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Analytical Solution for the Cubic-Quintic Duffing Oscillator Equation with Physics Applications
Complexity, 2022 The nonlinear differential equation governing the periodic motion of the one-dimensional, undamped, and unforced cubic-quintic Duffing oscillator is solved exactly by obtaining the period and the solution.
Alvaro H. Salas +2 more
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Novel Hyperbolic Homoclinic Solutions of the Helmholtz-Duffing Oscillators
Shock and Vibration, 2016 The exact and explicit homoclinic solution of the undamped Helmholtz-Duffing oscillator is derived by a presented hyperbolic function balance procedure.
Yang-Yang Chen +2 more
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