Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session G55: Chaos and Nonlinear Dynamics
11:30 AM–1:42 PM,
Tuesday, March 5, 2024
Room: 204AB
Sponsoring
Unit:
GSNP
Chair: Katie Newhall, UNC Chapel Hill
Abstract: G55.00010 : Subpopulations Vector Spaces of Ordinal Patterns Reveal Symmetry Families in Experimental Time Series
1:18 PM–1:30 PM
Presenter:
Benjamin D Ansbacher
(Carleton College)
Authors:
Benjamin D Ansbacher
(Carleton College)
Arjendu K Pattanayak
(Carleton College)
Andres Aragoneses
(Whitman College)
We introduce a vector representation of subpopulations in the ordinal pattern description of observed time series as a technique to analyze previously observed correlations in these subpopulations. We show that a specific 3D projection of this vector space emphasizing time reversal symmetry reveals information about the phase space dynamics. In particular it helps us to identify families of chaos in specific locations of symmetry space. The trajectory in symmetry space encodes the evolution of phase space as a function of parameter. We discuss general consequences and specific applications of these observations.
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