Non-quantum chirality and periodic islands in the driven double pendulum system

Zeyi Liu, Xiaobo Rao, Jianshe Gao and Shunliang Ding

Chaos, Solitons & Fractals, 2023, vol. 177, issue C

Abstract: The paper presents a systematic investigation of the dynamic complexities exhibited by a driven double pendulum system. By utilizing isospike diagrams in the frequency–amplitude control parameter space, a wide range of novel dynamical behaviors are explored. In addition to the well-known shrimp-shaped period island, the study uncovers various unique self-organizations, including the quint point where five distinct stable oscillatory phases coalesce, the eye of chaos characterized by a nested ring structure resulting from forward and reverse cascades, and innovative non-quantum chiral structures. The observed chiral structures in the double pendulum system exist in more diverse and generalized structure, challenging the notion that ring structures are necessary for their emergence. Furthermore, the study reports the experimental observation of a newly generated parabolic phase near the quint point, validating the phenomena observed through numerical calculations in experiments. These findings not only advance our understanding of the control parameter space topology for driven double pendulums but also lay the foundation for the exploration of innovative control strategies.

Keywords: Double pendulum; Isospike diagram; Non-quantum chirality; Bifurcation; Chaos (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/S0960077923011566
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:177:y:2023:i:c:s0960077923011566

DOI: 10.1016/j.chaos.2023.114254

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. ().