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Hopf bifurcation in a dynamic IS-LM model with time delay

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Mihaela Neamtu, Dumitru Opris, Constantin Chilarescu

Dynamical Systems · Submitted 12 Nov 2005

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

The authors' main claim With respect to the delay we show when the system is stable.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath/0511322 (version 1)
Pith ID675BP2RL, Pith's permanent record of this paper and its review
CitationConstantin Chilarescu, Dumitru Opris, Mihaela Neamtu. "Hopf bifurcation in a dynamic IS-LM model with time delay." arXiv:math/0511322 (2005). https://pith.science/paper/675BP2RL
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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, 3,448 input tokens.

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 0.08 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

In this paper we investigate the impact of delayed tax revenues on the fiscal policy out-comes. Choosing the delay as a bifurcation parameter we study the direction and the stability of the bifurcating periodic solutions. With respect to the delay we show when the system is stable. Some numerical examples are finally given for justifying the theoretical results.

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 In this paper we investigate the impact of delayed tax revenues on the fiscal policy out-comes. contribution 0.87 0.57 0.06 unclear 0.72
s1 Choosing the delay as a bifurcation parameter we study the direction and the stability of the bifurcating periodic solutions. method 0.59 0.94 0.10 asserted 0.85
s2 With respect to the delay we show when the system is stable. result 0.96 0.93 0.36 asserted 1.00
s3 Some numerical examples are finally given for justifying the theoretical results. method 0.84 0.93 0.04 asserted 0.96

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.95.

What was examined, and what was not

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  • arXiv listing abstract v1
not examined
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  • references and citing sentences
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  • P abstract
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  • 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

In this paper we investigate the impact of delayed tax revenues on the fiscal policy out-comes. Choosing the delay as a bifurcation parameter we study the direction and the stability of the bifurcating periodic solutions. With respect to the delay we show when the system is stable. Some numerical examples are finally given for justifying the theoretical results.

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