Pith. Sign in

RECORD

Synchronization Defects and Broken Symmetry in Spiral Waves

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
Andrei Goryachev, Hugues Chate, Raymond Kapral

chao-dyn · Submitted 3 Dec 1997

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

The authors' main claim In the period-doubled and chaotic regimes, the rotational symmetry of the spiral wave is broken.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDchao-dyn/9712003 (version 1)
Pith IDJUFCJGKX, Pith's permanent record of this paper and its review
CitationAndrei Goryachev, Hugues Chate, Raymond Kapral. "Synchronization Defects and Broken Symmetry in Spiral Waves." arXiv:chao-dyn/9712003 (1997). https://pith.science/paper/JUFCJGKX
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, 3,513 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.04 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

Spiral waves are investigated in oscillatory media exhibiting period-doubling bifurcations. In the period-doubled and chaotic regimes, the rotational symmetry of the spiral wave is broken. The loss of symmetry takes the form of synchronization defect lines where the phase of the local oscillation changes by multiples of 2\pi. The internal structure and geometry of these synchronization defects is studied and a discussion of the possible types of defect lines is presented.

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 Spiral waves are investigated in oscillatory media exhibiting period-doubling bifurcations. background 0.56 0.68 0.04 asserted 0.91
s1 In the period-doubled and chaotic regimes, the rotational symmetry of the spiral wave is broken. result 1.00 0.73 0.44 asserted 1.00
s2 The loss of symmetry takes the form of synchronization defect lines where the phase of the local oscillation changes by multiples of 2\pi. result 0.96 0.65 0.34 asserted 1.00
s3 The internal structure and geometry of these synchronization defects is studied and a discussion of the possible types of defect lines is presented. contribution 1.00 0.87 0.12 asserted 0.90

What kind of paper the classifier reports this is: simulation study 0.77 · evidence from simulation or computation 0.80.

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

Spiral waves are investigated in oscillatory media exhibiting period-doubling bifurcations. In the period-doubled and chaotic regimes, the rotational symmetry of the spiral wave is broken. The loss of symmetry takes the form of synchronization defect lines where the phase of the local oscillation changes by multiples of 2\pi. The internal structure and geometry of these synchronization defects is studied and a discussion of the possible types of defect lines is presented.

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.