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A simple electronic device to experiment with the Hopf bifurcation

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Daniela N. Rim, Pablo Cremades, Pablo Kaluza

Chaotic Dynamics · Submitted 26 Jan 2019

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

The authors' main claim We find that the most important characteristics of the Hopf bifurcation can be found and controlled.

how it is stated · asserted 1.00 read the record →

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arXiv ID1901.09893 (version 1)
Pith IDR2Z2D3F2, Pith's permanent record of this paper and its review
CitationDaniela N. Rim, Pablo Cremades, Pablo Kaluza. "A simple electronic device to experiment with the Hopf bifurcation." arXiv:1901.09893 (2019). https://pith.science/paper/R2Z2D3F2
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,934 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.08 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We present a simple low-cost electronic circuit that is able to show two different dynamical regimens with oscillations of voltages and with constant values of them. This device is designed as a negative feedback three-node network inspired in the genetic repressilator. The circuit's behavior is modeled by a system of differential equations which is studied in several different ways by applying the dynamical system formalism, making numerical simulations and constructing and measuring it experimentally. We find that the most important characteristics of the Hopf bifurcation can be found and controlled. Particularly, a resistor value plays the role of the bifurcation parameter, which can be easily varied experimentally. As a result, this system can be employed to introduce many aspects of a research in a real physical system and it enables us to study one of the most important kinds of bifurcation.

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 We present a simple low-cost electronic circuit that is able to show two different dynamical regimens with oscillations of voltages and with constant values of them. contribution 1.00 0.94 0.14 asserted 1.00
s1 This device is designed as a negative feedback three-node network inspired in the genetic repressilator. method 0.77 0.84 0.03 asserted 1.00
s2 The circuit's behavior is modeled by a system of differential equations which is studied in several different ways by applying the dynamical system formalism, making numerical simulations and constructing and measuring it experimentally. method 0.99 0.95 0.04 asserted 1.00
s3 We find that the most important characteristics of the Hopf bifurcation can be found and controlled. result 0.99 0.95 0.66 asserted 1.00
s4 Particularly, a resistor value plays the role of the bifurcation parameter, which can be easily varied experimentally. result 0.86 0.86 0.13 asserted 1.00
s5 As a result, this system can be employed to introduce many aspects of a research in a real physical system and it enables us to study one of the most important kinds of bifurcation. interpretation 0.91 0.61 0.57 asserted 0.91

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from observation or experiment 0.99.

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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

We present a simple low-cost electronic circuit that is able to show two different dynamical regimens with oscillations of voltages and with constant values of them. This device is designed as a negative feedback three-node network inspired in the genetic repressilator. The circuit's behavior is modeled by a system of differential equations which is studied in several different ways by applying the dynamical system formalism, making numerical simulations and constructing and measuring it experimentally. We find that the most important characteristics of the Hopf bifurcation can be found and controlled. Particularly, a resistor value plays the role of the bifurcation parameter, which can be easily varied experimentally. As a result, this system can be employed to introduce many aspects of a research in a real physical system and it enables us to study one of the most important kinds of bifurcation.

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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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