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- Title
INVESTIGATION OF THE STEADY-STATE SOLUTION OF THE FRACTAL FORCED DUFFING'S OSCILLATOR USING AN ANCIENT CHINESE ALGORITHM.
- Authors
ELÍAS-ZÚÑIGA, ALEX; MARTÍNEZ-ROMERO, OSCAR; TREJO, DANIEL OLVERA; PALACIOS-PINEDA, LUIS MANUEL
- Abstract
In this paper, the steady-state solution of Duffing-type oscillators with fractal-order derivative is obtained. First, the two-scale fractal-order derivative transform is used to write the fractal differential equation of motion as an ordinary differential non-homogenous equation of motion. Then the ancient Chinese algorithm and He's formulation are used to find the approximate frequency-amplitude response curve. The results show that the steady-state response diagrams exhibit hardening or softening behavior depending on the fractal parameter value.
- Subjects
ORDINARY differential equations; EQUATIONS of motion; ALGORITHMS; STEADY-state responses; DUFFING oscillators; DUFFING equations
- Publication
Fractals, 2021, Vol 29, Issue 6, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X21501334