Результаты поиска по 'fractal oscillator':
Найдено статей: 1
  1. Parovik R.I.
    Mathematical modeling of oscillator hereditarity
    Computer Research and Modeling, 2015, v. 7, no. 5, pp. 1001-1021

    The paper considers hereditarity oscillator which is characterized by oscillation equation with derivatives of fractional order $\beta$ and $\gamma$, which are defined in terms of Gerasimova-Caputo. Using Laplace transform were obtained analytical solutions and the Green’s function, which are determined through special functions of Mittag-Leffler and Wright generalized function. It is proved that for fixed values of $\beta = 2$ and $\gamma = 1$, the solution found becomes the classical solution for a harmonic oscillator. According to the obtained solutions were built calculated curves and the phase trajectories hereditarity oscillatory process. It was found that in the case of an external periodic influence on hereditarity oscillator may occur effects inherent in classical nonlinear oscillators.

    Keywords: hereditarity, fractal oscillator, generalized function Wright, phase trajectories, resonance.
    Views (last year): 4. Citations: 12 (RSCI).

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"

Copyright © 2009–2024 Institute of Computer Science