Pith. Sign in

RECORD

Anomalous oscillations of average transient lifetimes near crises

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Krzysztof Kacperski, Janusz A. Holyst

chao-dyn · Submitted 3 Nov 1998

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

The authors' main claim In this letter we report anomalous oscillations due to the intertwined structure of basins of attraction.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDchao-dyn/9811007 (version 1)
Pith IDZGPEHHKZ, Pith's permanent record of this paper and its review
CitationJanusz A. Holyst, Krzysztof Kacperski. "Anomalous oscillations of average transient lifetimes near crises." arXiv:chao-dyn/9811007 (1998). https://pith.science/paper/ZGPEHHKZ
Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,201 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.09 · 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; .

It is common that the average length of chaotic transients appearing as a consequence of crises in dynamical systems obeys a power low of scaling with the distance from the crisis point. It is, however, only a rough trend; in some cases considerable oscillations can be superimposed on it. In this letter we report anomalous oscillations due to the intertwined structure of basins of attraction. We also present a simple geometrical model that gives an estimate of the period and amplitude of these oscillations. The results obtained within the model coincide with those yielded by computer simulations of a kicked spin model and the Henon map.

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 It is common that the average length of chaotic transients appearing as a consequence of crises in dynamical systems obeys a power low of scaling with the distance from the crisis point. background 1.00 0.05 0.04 asserted 0.94
s1 It is, however, only a rough trend; in some cases considerable oscillations can be superimposed on it. background 0.79 0.11 0.06 asserted 0.79
s2 In this letter we report anomalous oscillations due to the intertwined structure of basins of attraction. contribution 0.53 0.93 0.74 asserted 1.00
s3 We also present a simple geometrical model that gives an estimate of the period and amplitude of these oscillations. method 0.60 0.94 0.10 asserted 0.96
s4 The results obtained within the model coincide with those yielded by computer simulations of a kicked spin model and the Henon map. result 0.98 0.90 0.18 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.88 · evidence from simulation or computation 0.97.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • 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

It is common that the average length of chaotic transients appearing as a consequence of crises in dynamical systems obeys a power low of scaling with the distance from the crisis point. It is, however, only a rough trend; in some cases considerable oscillations can be superimposed on it. In this letter we report anomalous oscillations due to the intertwined structure of basins of attraction. We also present a simple geometrical model that gives an estimate of the period and amplitude of these oscillations. The results obtained within the model coincide with those yielded by computer simulations of a kicked spin model and the Henon map.

Human review

How Pith checks papers → · Full audit of this paper →

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.