Emergence of nonchaotic bursting extreme events in a quadratic jerk oscillator

Premraj Durairaj, K. Premalatha, Sathiyadevi Kanagaraj, Zhigang Zheng and Karthikeyan Rajagopal

Chaos, Solitons & Fractals, 2024, vol. 185, issue C

Abstract: Extreme events are intriguing phenomena that can manifest in various realistic scenarios. Understanding the circumstances under which they occur is crucial due to their potentially devastating impact. In contrast to prior studies that employed the jerk system to demonstrate chaotic behavior, hidden dynamics, and multistability, our investigation focuses on a complex quadratic jerk system to illustrate the emergence of extreme events. Our primary focus lies in discerning various bursting patterns such as periodic, quasi-periodic, strange nonchaotic, and chaotic with respect to the control parameter. Significantly, the transitions between these bursting dynamics are analyzed through bifurcation analysis and their corresponding Lyapunov exponents. Notably, the bifurcation analysis confirms the presence of extreme events by revealing a notable amplification in the signals maximum amplitude, which exceeds the extreme events critical threshold. Furthermore, we employ a two-parameter analysis to delineate regions corresponding to different bursting states, along with regions indicative of extreme events and non-extreme events phenomena. Interestingly, our observations pinpoint occurrences of extreme events within the nonchaotic domain. Consequently, we employ various statistical measures to confirm the presence of strange nonchaotic dynamics. Our results highlight the presence of extreme events in nonchaotic bursting in chaotic complex systems and provide insight into the complex interactions among dynamics in these systems.

Keywords: Extreme events; Jerk system; Bursting patterns; Strange nonchaotic attractor (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924006350
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:185:y:2024:i:c:s0960077924006350

DOI: 10.1016/j.chaos.2024.115083

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. ().