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Bifurcation and chaos in one dimensional chains of small particles

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Fabiano C. Simas, K. Z. Nobrega, D. Bazeia

Chaotic Dynamics · Submitted 25 Jun 2022

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We revisit this system and bring novelties concerning the presence of the three-armed star behavior and the study of the corresponding Lyapunov exponent.

how it is stated · asserted 0.99 read the record →

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arXiv ID2206.12734 (version 1)
Pith ID5ADZWHTC, Pith's permanent record of this paper and its review
CitationD. Bazeia, Fabiano C. Simas, K. Z. Nobrega. "Bifurcation and chaos in one dimensional chains of small particles." arXiv:2206.12734 (2022). https://pith.science/paper/5ADZWHTC
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,178 input tokens.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.69 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

This work deals with bifurcation and the chaotic behavior in one dimensional chains of small particles. We consider two distinct possibilities, one where the particles are modeled by a fourth-order potential which was already studied. We revisit this system and bring novelties concerning the presence of the three-armed star behavior and the study of the corresponding Lyapunov exponent. The other system is new, and there the particles are more involved and modeled by an eighth-order potential. We investigate this new system within the same approach, emphasizing the behavior of the orbits, the bifurcation profile and the corresponding Lyapunov exponent.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 This work deals with bifurcation and the chaotic behavior in one dimensional chains of small particles. background 0.73 0.55 0.06 asserted 0.87
s1 We consider two distinct possibilities, one where the particles are modeled by a fourth-order potential which was already studied. background 0.61 0.22 0.03 asserted 0.72
s2 We revisit this system and bring novelties concerning the presence of the three-armed star behavior and the study of the corresponding Lyapunov exponent. contribution 0.94 0.90 0.14 asserted 0.99
s3 The other system is new, and there the particles are more involved and modeled by an eighth-order potential. contribution 0.70 0.43 0.04 asserted 1.00
s4 We investigate this new system within the same approach, emphasizing the behavior of the orbits, the bifurcation profile and the corresponding Lyapunov exponent. contribution 0.94 0.93 0.11 asserted 0.93

What kind of paper the classifier reports this is: simulation study 0.94 · evidence from simulation or computation 0.99.

What was examined, and what was not

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  • arXiv listing abstract v1
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  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

This work deals with bifurcation and the chaotic behavior in one dimensional chains of small particles. We consider two distinct possibilities, one where the particles are modeled by a fourth-order potential which was already studied. We revisit this system and bring novelties concerning the presence of the three-armed star behavior and the study of the corresponding Lyapunov exponent. The other system is new, and there the particles are more involved and modeled by an eighth-order potential. We investigate this new system within the same approach, emphasizing the behavior of the orbits, the bifurcation profile and the corresponding Lyapunov exponent.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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