Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
The simplest oscillators with adaptive properties. / Krylosova, Darina; Seleznev, Evgeny; Stankevich, Nataliya.
Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020. Institute of Electrical and Electronics Engineers Inc., 2020. стр. 140-143 9216759 (Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - The simplest oscillators with adaptive properties
AU - Krylosova, Darina
AU - Seleznev, Evgeny
AU - Stankevich, Nataliya
N1 - Publisher Copyright: © 2020 IEEE.
PY - 2020/9
Y1 - 2020/9
N2 - We study the behavior of a non-autonomous oscillator with phase of the external force having the property of adaptability, i.e. depends on the dynamic variable. In the frame of this work we consider the case when dependence of the phase of external force is polynomial including terms of the third degree. Such dependence of the phase of the external action leads to the appearance of the complex chaotic oscillations in the dynamics of the oscillator. In the parameter space a hierarchy of various periodic and chaotic oscillations is observed. It is shown that in the dynamics of the system oscillation modes are observed, similar to the modes of a non-autonomous oscillator with a potential in the form of a periodic function. In the case of a linear adaptation function, the structure of the parameter plane has characteristic cascades of period doubling bifurcations. When nonlinearities (the second and the third terms of polynomial function) are taken into account, structures are destroyed.
AB - We study the behavior of a non-autonomous oscillator with phase of the external force having the property of adaptability, i.e. depends on the dynamic variable. In the frame of this work we consider the case when dependence of the phase of external force is polynomial including terms of the third degree. Such dependence of the phase of the external action leads to the appearance of the complex chaotic oscillations in the dynamics of the oscillator. In the parameter space a hierarchy of various periodic and chaotic oscillations is observed. It is shown that in the dynamics of the system oscillation modes are observed, similar to the modes of a non-autonomous oscillator with a potential in the form of a periodic function. In the case of a linear adaptation function, the structure of the parameter plane has characteristic cascades of period doubling bifurcations. When nonlinearities (the second and the third terms of polynomial function) are taken into account, structures are destroyed.
KW - adaptive property
KW - chaos
KW - non-autonomous oscillator
UR - http://www.scopus.com/inward/record.url?scp=85096352056&partnerID=8YFLogxK
U2 - 10.1109/DCNAIR50402.2020.9216759
DO - 10.1109/DCNAIR50402.2020.9216759
M3 - Conference contribution
AN - SCOPUS:85096352056
T3 - Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020
SP - 140
EP - 143
BT - Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020
Y2 - 7 September 2020 through 9 September 2020
ER -
ID: 86483597