A NEW FRACTAL TRANSFORM FREQUENCY FORMULATION FOR FRACTAL NONLINEAR OSCILLATORS
Kang‐Le Wang
Abstract
In this study, a new fractal derivative is employed to describe the nonlinear oscillator model. A variational principle of the fractal model is successfully established by using the fractal semi-inverse transform method, and its approximate frequency is obtained by a new fractal transform frequency formulation. The numerical example shows that the proposed technique is simple and accurate for fractal nonlinear oscillators.
Topics & Concepts
FractalFractal derivativeMathematicsFractal dimension on networksNonlinear systemInverseFractal landscapeMathematical analysisSimple (philosophy)Statistical physicsApplied mathematicsFractal dimensionFractal analysisPhysicsGeometryEpistemologyPhilosophyQuantum mechanicsFractional Differential Equations SolutionsChaos control and synchronizationAdvanced Adaptive Filtering Techniques