---
_id: '6049'
abstract:
- lang: eng
  text: 'In this article it is shown that large systems with many interacting units
    endowing multiple phases display self-oscillations in the presence of linear feedback
    between the control and order parameters, where an Andronov–Hopf bifurcation takes
    over the phase transition. This is simply illustrated through the mean field Landau
    theory whose feedback dynamics turn out to be described by the Van der Pol equation
    and it is then validated for the fully connected Ising model following heat bath
    dynamics. Despite its simplicity, this theory accounts potentially for a rich
    range of phenomena: here it is applied to describe in a stylized way (i) excess
    demand-price cycles due to strong herding in a simple agent-based market model;
    (ii) congestion waves in queuing networks triggered by user feedback to delays
    in overloaded conditions; and (iii) metabolic network oscillations resulting from
    cell growth control in a bistable phenotypic landscape.'
article_number: '045002'
article_processing_charge: Yes (in subscription journal)
author:
- first_name: Daniele
  full_name: De Martino, Daniele
  id: 3FF5848A-F248-11E8-B48F-1D18A9856A87
  last_name: De Martino
  orcid: 0000-0002-5214-4706
citation:
  ama: 'De Martino D. Feedback-induced self-oscillations in large interacting systems
    subjected to phase transitions. <i>Journal of Physics A: Mathematical and Theoretical</i>.
    2019;52(4). doi:<a href="https://doi.org/10.1088/1751-8121/aaf2dd">10.1088/1751-8121/aaf2dd</a>'
  apa: 'De Martino, D. (2019). Feedback-induced self-oscillations in large interacting
    systems subjected to phase transitions. <i>Journal of Physics A: Mathematical
    and Theoretical</i>. IOP Publishing. <a href="https://doi.org/10.1088/1751-8121/aaf2dd">https://doi.org/10.1088/1751-8121/aaf2dd</a>'
  chicago: 'De Martino, Daniele. “Feedback-Induced Self-Oscillations in Large Interacting
    Systems Subjected to Phase Transitions.” <i>Journal of Physics A: Mathematical
    and Theoretical</i>. IOP Publishing, 2019. <a href="https://doi.org/10.1088/1751-8121/aaf2dd">https://doi.org/10.1088/1751-8121/aaf2dd</a>.'
  ieee: 'D. De Martino, “Feedback-induced self-oscillations in large interacting systems
    subjected to phase transitions,” <i>Journal of Physics A: Mathematical and Theoretical</i>,
    vol. 52, no. 4. IOP Publishing, 2019.'
  ista: 'De Martino D. 2019. Feedback-induced self-oscillations in large interacting
    systems subjected to phase transitions. Journal of Physics A: Mathematical and
    Theoretical. 52(4), 045002.'
  mla: 'De Martino, Daniele. “Feedback-Induced Self-Oscillations in Large Interacting
    Systems Subjected to Phase Transitions.” <i>Journal of Physics A: Mathematical
    and Theoretical</i>, vol. 52, no. 4, 045002, IOP Publishing, 2019, doi:<a href="https://doi.org/10.1088/1751-8121/aaf2dd">10.1088/1751-8121/aaf2dd</a>.'
  short: 'D. De Martino, Journal of Physics A: Mathematical and Theoretical 52 (2019).'
corr_author: '1'
date_created: 2019-02-24T22:59:19Z
date_published: 2019-01-07T00:00:00Z
date_updated: 2025-04-15T06:50:24Z
day: '07'
ddc:
- '570'
department:
- _id: GaTk
doi: 10.1088/1751-8121/aaf2dd
ec_funded: 1
external_id:
  isi:
  - '000455379500001'
file:
- access_level: open_access
  checksum: 1112304ad363a6d8afaeccece36473cf
  content_type: application/pdf
  creator: kschuh
  date_created: 2019-04-19T12:18:57Z
  date_updated: 2020-07-14T12:47:17Z
  file_id: '6344'
  file_name: 2019_IOP_DeMartino.pdf
  file_size: 1804557
  relation: main_file
file_date_updated: 2020-07-14T12:47:17Z
has_accepted_license: '1'
intvolume: '        52'
isi: 1
issue: '4'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Feedback-induced self-oscillations in large interacting systems subjected to
  phase transitions
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 52
year: '2019'
...