Stochastic P-bifurcation in a self-sustained tristable oscillator under random excitations

Yingying Wang and Lijuan Ning ()
Additional contact information
Yingying Wang: Shaanxi Normal University
Lijuan Ning: Shaanxi Normal University

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 2, 1-8

Abstract: Abstract Stochastic P-bifurcation in a self-sustained tristable oscillator subjected to two random excitations is explored. The self-sustained oscillator here has two stable limit cycles and a stable state, which is known for modeling the flutter of airfoils with large span in low-speed wind tunnels. By means of the stochastic averaging method, the stationary probability density function of the system amplitude for characterizing stochastic P-bifurcation is derived. The stationary probability density function can be easily transferred between the unimodal, bimodal and trimodal structure according to the critical parameters displayed in the bifurcation diagram. The effects of two noises and time delay on stochastic P-bifurcation are analyzed theoretically, whose correctness is verified numerically. The involvement of two noises and time delay not only expands the range of bifurcation parameters, but also enriches the bifurcation phenomenon. Graphic abstract

Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/s10051-022-00286-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:95:y:2022:i:2:d:10.1140_epjb_s10051-022-00286-0

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/s10051-022-00286-0

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().