The computational investigation of Fermi, Pasta, Ulam, and Tsingou (FPUT) of arrays of nonlinearly coupled oscillators has led to a wealth of studies in nonlinear dynamics. Most studies of oscillator arrays have considered homogeneous oscillators, even though there are inherent heterogeneities between individual oscillators in real-world arrays. Well-known FPUT phenomena, such as energy recurrence, can break down in such heterogeneous systems. In this paper, we present an approach—the use of structured heterogeneities—to recover recurrence in FPUT systems in the presence of oscillator heterogeneities. We examine oscillator variabilities in FPUT systems with cubic nonlinearities, and we demonstrate that centrosymmetry in oscillator arrays may be an important source of recurrence.
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Recurrence recovery in heterogeneous Fermi–Pasta–Ulam–Tsingou systems
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September 2023
Research Article|
September 07 2023
Recurrence recovery in heterogeneous Fermi–Pasta–Ulam–Tsingou systems
Zidu Li
;
Zidu Li
a)
(Data curation, Formal analysis, Investigation, Visualization, Writing – original draft)
1
Department of Electrical Engineering and Computer Science, University of Siegen
, Siegen, North Rhine-Westphalia 57072, Germany
a)Author to whom correspondence should be addressed: zidu.li@uni-siegen.de
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Mason A. Porter
;
Mason A. Porter
(Conceptualization, Formal analysis, Writing – review & editing)
2
Department of Mathematics, University of California, Los Angeles
, Los Angeles, California 90095, USA
3
Santa Fe Institute
, Santa Fe, New Mexico 87501, USA
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Bhaskar Choubey
Bhaskar Choubey
(Conceptualization, Formal analysis, Funding acquisition, Investigation, Project administration, Supervision, Writing – review & editing)
1
Department of Electrical Engineering and Computer Science, University of Siegen
, Siegen, North Rhine-Westphalia 57072, Germany
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a)Author to whom correspondence should be addressed: zidu.li@uni-siegen.de
Chaos 33, 093108 (2023)
Article history
Received:
April 17 2023
Accepted:
August 04 2023
Citation
Zidu Li, Mason A. Porter, Bhaskar Choubey; Recurrence recovery in heterogeneous Fermi–Pasta–Ulam–Tsingou systems. Chaos 1 September 2023; 33 (9): 093108. https://doi.org/10.1063/5.0154970
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