Hopf bifurcations by perturbing a class of reversible quadratic systems
Huihui Zhang and
Yanqin Xiong
Chaos, Solitons & Fractals, 2023, vol. 170, issue C
Abstract:
This paper first investigates the dynamical behavior of a class of reversible quadratic systems, providing all possible phase portraits on the plane. Then, we use generalized Melnikov function method to study the Hopf bifurcation of reversible quadratic systems under the perturbation of piecewise quadratic systems, finding 4 more limit cycles than the smooth case.
Keywords: Hopf bifurcation; Reversible system; Melnikov function (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077923002102
Full text for ScienceDirect subscribers only
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:eee:chsofr:v:170:y:2023:i:c:s0960077923002102
DOI: 10.1016/j.chaos.2023.113309
Access Statistics for this article
Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros
More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().