Modeling of the influence of delay factors on the dynamics of non-ideal pendulum systems
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Date
2015
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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.
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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.