INVESTIGATION OF THE STEADY-STATE SOLUTION OF THE FRACTAL FORCED DUFFING’S OSCILLATOR USING AN ANCIENT CHINESE ALGORITHM

DOI10.1142/S0218348X21501334zbMath1487.34094OpenAlexW3136769003MaRDI QIDQ5024983

Oscar Martínez-Romero, Daniel Olvera Trejo, Luis Manuel Palacios-Pineda, Alex Elías-Zúñiga

Publication date: 1 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21501334

zbMATH Keywords

Duffing oscillatorancient Chinese algorithmfractal oscillatoramplitude-frequency response curvestwo-scale fractal transform

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Theoretical approximation of solutions to ordinary differential equations (34A45) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fractional ordinary differential equations (34A08)

Related Items (5)

ANALYSIS OF A DAMPED FRACTAL SYSTEM USING THE ANCIENT CHINESE ALGORITHM AND THE TWO-SCALE FRACTAL DIMENSION TRANSFORM ⋮ A novel pattern in a class of fractal models with the non-perturbative approach ⋮ An efficient approach to converting the damping fractal models to the traditional system ⋮ Generalized variational principle and periodic wave solution to the modified equal width-Burgers equation in nonlinear dispersion media ⋮ ON TWO-SCALE DIMENSION AND ITS APPLICATION FOR DERIVING A NEW ANALYTICAL SOLUTION FOR THE FRACTAL DUFFING’S EQUATION

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