3 papers
math.DS2026
Identification of limit sets of a non-ideal system: spherical pendulum-excitation source
Serhii Donetskyi, Aleksandr Shvets
We investigate the long-term dynamics of a five-dimensional nonlinear system describing the non-ideal excitation of a spherical pendulum coupled to a limited-power electric motor.…
nlin.CD2025
Delay factors in the genesis of limit sets of the non-ideal system "tank with liquid-electric motor"
I. A. Seit-Dzhelil, A. Yu. Shvets
Non-ideal deterministic system "tank with liquid-electric motor" is studied. Two delay-approximation models are considered. Impact of the delay on the emergence, evolution and disa…
nlin.CD2025
Delay as an energy regulator of the generation of deterministic chaos in hydrodynamic systems with limited excitation
Aleksandr Shvets, Ilmi Seit-Dzhelil
The Miles-Krasnopolskaya system is considered, which is used to study the nonlinear interaction of a tank with a liquid and the source of excitation of its oscillations. Additional…