NOVEL APPROACH FOR FRACTAL NONLINEAR OSCILLATORS WITH DISCONTINUITIES BY FOURIER SERIES
Kang‐Le Wang
Abstract
This paper argues that in the microgravity space, the fractal nonlinear oscillators’ models with discontinuities are established by the fractal calculus, and their fractal variational principles are obtained via using the fractal semi-inverse method. Finally, a novel technology is proposed to find the frequency of the fractal nonlinear oscillators’ model by using the Fourier series. The results illustrate that the proposed method is efficient and accurate.
Topics & Concepts
FractalClassification of discontinuitiesNonlinear systemFractal derivativeSeries (stratigraphy)Fourier seriesFractal landscapeMathematicsFractal dimension on networksFourier transformInverseMathematical analysisApplied mathematicsFractal dimensionFractal analysisStatistical physicsPhysicsGeometryGeologyQuantum mechanicsPaleontologyFractional Differential Equations SolutionsChaos control and synchronizationStatistical Mechanics and Entropy