Modeling of the influence of delay factors on the dynamics of non-ideal pendulum systems

Loading...
Thumbnail Image

Date

2015

Advisor

Journal Title

Journal ISSN

Volume Title

Publisher

Київський національний університет імені Тараса Шевченка, МП "ТВ і МС"

Abstract

The influence of various factors of delay on the dynamics of non-ideal dynamical systems “pendulum-electric motor” is considered. The approaches that allow to reduce the mathematical model of the system to the systems of differential equations without delay are proposed. The maps of dynamical regimes, the dependencies of maximal non-zero Lyapunov’s characteristic exponent and phase- parametric characteristics of these systems are studied. The scenarios of transition from steady-state regular regimes to chaotic ones are identified.

Description

Keywords

Citation

Makaseyev, A. M. Modeling of the influence of delay factors on the dynamics of non-ideal pendulum systems / A. M. Makaseyev, A. Yu. Shvets // Журнал обчислювальної таприкладної математики. - 2015. - №1(118). - С. 71-77.

DOI