MATHEMATICAL MODELING OF NONLOCAL OSCILLATORY DUFFING SYSTEM WITH FRACTAL FRICTION

Abstract

The paper considers a nonlinear fractal oscillatory Duffing system with friction. The numerical analysis of this system by a finite-difference scheme was carried out. Phase portraits and system solutions were constructed depending on fractional parameters.

Authors and Affiliations

Roman Parovik

Keywords

Related Articles

ON THE RELATION BETWEEN EARTHQUAKE AND ATMOSPHERIC ELECTRICITY

The change in the magnitude of the atmospheric electric field (AEF) before the earthquake and immediately after it, according to our model, is due to the fact that the protons of water atmospheric complexes turn out to b...

NECESSARY AND SUFFICIENT CONDITIONS FOR THE UNIQUENESS OF THE DIRICHLET PROBLEM FOR NONLOCAL WAVE EQUATION

In this paper we find necessary and sufficient conditions for the uniqueness of the solution of the Dirichlet problem for the wave equation.

ALGORITHMS OF DIGITAL PROCESSING OF AN EARTH NEAR-SURFACE ELECTRIC FIELD INTENSITY USING A KALMAN FILTER

With the help of the Vaisala EFM550 electric field meter, long-term studies (2010-2017) of the course of the electric field strength in the area of the city of Nalchik were carried out. The article considers the use of d...

SOLUTION NONLOCAL EQUATIONS ANOMALOUS DIFFUSION–ADVECTION RADON IN SYSTEM SOIL–ATMOSPHERE

In this paper we consider a nonlocal mathematical model of non-stationary diffusionadvection of radon in the soil-atmosphere system. An analytical solution of this model of traveling wave, which is expressed in terms of...

ABOUT 1-ELEMENT FUNCTIONAL FULLNESS IN ALGEBRA OF THE BOOLEAN FUNCTIONS

This article covers the problems connected with the functional fullness Boolean function. The results may be used at the study of the structure subalgebas algebras of the Boolean functions.

Download PDF file
  • EP ID EP479518
  • DOI 10.18454/2079-6641-2015-10-1-18-24
  • Views 103
  • Downloads 0

How To Cite

Roman Parovik (2015). MATHEMATICAL MODELING OF NONLOCAL OSCILLATORY DUFFING SYSTEM WITH FRACTAL FRICTION. Вестник КРАУНЦ. Физико-математические науки, 1(), 18-24. https://europub.co.uk/articles/-A-479518