Compound bursting behaviors in a forced Mathieu-van der Pol-Duffing system

Xindong Ma, Daixian Xia, Wenan Jiang, Mao Liu and Qinsheng Bi

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

Abstract: The mechanism of compound bursting behaviors of a forced Mathieu-van der Pol-Duffing system is explored. Four compound bursting types and one typical relaxation oscillation, i.e., compound “Homoclinic/Homoclinic” bursting, compound “fold/fold-cycle” bursting, compound “subHopf/fold-cycle” bursting via “fold/fold” hysteresis loop, compound “supHopf/supHopf” bursting via “fold/fold” hysteresis loop and “fold/fold” bursting, are investigated. We find that different parameter values result in different repetitive spiking states, which lead to different bursting patterns. Our research provides more possible routes to compound bursting dynamics, and strengthens a better understanding of the compound bursting behaviors.

Keywords: Forced Mathieu-van der Pol-Duffing system; Stabilities and bifurcations; Compound “fold/fold-cycle” bursting; Compound “supHopf/supHopf” bursting via “fold/fold” hysteresis loop; Slow-fast analysis (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921003210
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:147:y:2021:i:c:s0960077921003210

DOI: 10.1016/j.chaos.2021.110967

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. ().