Results in Physics · 2019 · 233 citations · 11 references
Natural SciencesPhysicsDifferential EquationsFrequency ResponseNonlinear DynamicsOscillatorsDuffing OscillatorNonlinear OscillationsNonlinear Oscillator AnalysisNonlinear OscillatorsOscillator ModelingOscillator NonlinearityOscillator Theory
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 oscillator. Keywords: Frequency formulation, Duffing oscillator, Nonlinear conservative oscillator
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Fractal calculus and its geometrical explanation
Ji‐Huan He · Results in Physics · 2018 · 514 citations · Full text
Two-scale mathematics and fractional calculus for thermodynamics
Ji‐Huan He, Fei-Yu Ji · Thermal Science · 2019 · 297 citations · Full text