TY - JOUR
T1 - Extreme events in a class of nonlinear Duffing-type oscillators with a parametric periodic force
AU - Zhao, Dan
AU - Li, Yongge
AU - Xu, Yong
AU - Liu, Qi
AU - Kurths, Jürgen
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2022/3
Y1 - 2022/3
N2 - Extreme events happen when a system is far from the expectation and normal region, which are common in many practical problems, such as climate and engineering systems. It will affect the accuracy and damage the reliability, or even lead to a collapse of the system. In this work, extreme events are studied in a class of generalized nonlinear Duffing-type oscillators with a parametric periodic force. The occurrence mechanism, description methods and risk of extreme events are discussed. We find that the tail probability of the state response is large when extreme events occur frequently. This indicates that the dynamic structure enables the system to reach a rather far position, for which the varying of the potential function provides a possible underlying explanation for this phenomenon. In addition, the effects of the amplitude and the frequency are investigated to quantify the extreme events. With the metrics of inter-event interval (IEI), mean of IEI, survival probability function, and hazard rate function, the risk of extreme events is characterized. The obtained results not only quantitatively give the characteristics of extreme events in a class of generalized Duffing-type oscillators, but also assess the risk of extreme events, which can provide theoretical guidance for the design and fabrication of micro-electromechanical components.
AB - Extreme events happen when a system is far from the expectation and normal region, which are common in many practical problems, such as climate and engineering systems. It will affect the accuracy and damage the reliability, or even lead to a collapse of the system. In this work, extreme events are studied in a class of generalized nonlinear Duffing-type oscillators with a parametric periodic force. The occurrence mechanism, description methods and risk of extreme events are discussed. We find that the tail probability of the state response is large when extreme events occur frequently. This indicates that the dynamic structure enables the system to reach a rather far position, for which the varying of the potential function provides a possible underlying explanation for this phenomenon. In addition, the effects of the amplitude and the frequency are investigated to quantify the extreme events. With the metrics of inter-event interval (IEI), mean of IEI, survival probability function, and hazard rate function, the risk of extreme events is characterized. The obtained results not only quantitatively give the characteristics of extreme events in a class of generalized Duffing-type oscillators, but also assess the risk of extreme events, which can provide theoretical guidance for the design and fabrication of micro-electromechanical components.
UR - http://www.scopus.com/inward/record.url?scp=85126263163&partnerID=8YFLogxK
U2 - 10.1140/epjp/s13360-022-02530-z
DO - 10.1140/epjp/s13360-022-02530-z
M3 - 文章
AN - SCOPUS:85126263163
SN - 2190-5444
VL - 137
JO - European Physical Journal Plus
JF - European Physical Journal Plus
IS - 3
M1 - 314
ER -