The DOI matches its Crossref record.
A Study of Locking Phenomena in Oscillators
Abstract
Impression of an external signal upon an oscillator of similar fundamental frequency affects both the instantaneous amplitude and instantaneous frequency. Using the assumption that time constants in the oscillator circuit are small compared to the length of one beat cycle, a differential equation is derived which gives the oscillator phase as a function of time. With the aid of this equation, the transient process of "pull-in" as well as the production of a distorted beat note are described in detail. It is shown that the same equation serves to describe the motion of a pendulum suspended in a viscous fluid inside a rotating container. The whole range of locking phenomena is illustrated with the aid of this simple mechanical model.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Time Delay in the Kuramoto Model of Coupled Oscillators
Yeung, M. K. S., & Strogatz, S. H. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.648 · Cited by 601
The Frequency Injection Attack on Ring-Oscillator-Based True Random Number Generators
Markettos, A. T., & Moore, S. W. (2009) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-04138-9_23 · Cited by 192
Quantum synchronization on the IBM Q system
Koppenhöfer, M., Bruder, C., & Roulet, A. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023026 · Cited by 81
Metadata
- Authors
- Adler, R.
- Venue
- Proceedings of the IRE
- Published
- 1946-06
- Volume
- 34
- Issue
- 6
- Pages
- 351-357
- ISSN
- 0096-8390 (ISSN-L)
- OpenAlex
- W2106687953
- Cited by
- 1,651
- References
- 0
- FWCI
- 3.29
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: A Study of Locking Phenomena in Oscillators. https://app.cochat.ai/papers/10.1109/jrproc.1946.229930
- The paper
- Adler, R. (1946). A Study of Locking Phenomena in Oscillators. Proceedings of the IRE. https://doi.org/10.1109/jrproc.1946.229930
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
