---
_id: '32239'
author:
- first_name: I
  full_name: Hunter, I
  last_name: Hunter
- first_name: MM
  full_name: Norton, MM
  last_name: Norton
- first_name: B
  full_name: Chen, B
  last_name: Chen
- first_name: C
  full_name: Simonetti, C
  last_name: Simonetti
- first_name: ME
  full_name: Moustaka, ME
  last_name: Moustaka
- first_name: J
  full_name: Touboul, J
  last_name: Touboul
- first_name: S
  full_name: Fraden, S
  last_name: Fraden
citation:
  ama: Hunter I, Norton M, Chen B, et al. Pattern formation in a four-ring reaction-diffusion
    network with heterogeneity. <i>Phys Rev E</i>. 2022;105(2-1):024310.
  apa: Hunter, I., Norton, M., Chen, B., Simonetti, C., Moustaka, M., Touboul, J.,
    &#38; Fraden, S. (2022). Pattern formation in a four-ring reaction-diffusion network
    with heterogeneity. <i>Phys Rev E</i>, <i>105</i>(2–1), 024310.
  bibtex: '@article{Hunter_Norton_Chen_Simonetti_Moustaka_Touboul_Fraden_2022, title={Pattern
    formation in a four-ring reaction-diffusion network with heterogeneity.}, volume={105},
    number={2–1}, journal={Phys Rev E}, author={Hunter, I and Norton, MM and Chen,
    B and Simonetti, C and Moustaka, ME and Touboul, J and Fraden, S}, year={2022},
    pages={024310} }'
  chicago: 'Hunter, I, MM Norton, B Chen, C Simonetti, ME Moustaka, J Touboul, and
    S Fraden. “Pattern Formation in a Four-Ring Reaction-Diffusion Network with Heterogeneity.”
    <i>Phys Rev E</i> 105, no. 2–1 (2022): 024310.'
  ieee: I. Hunter <i>et al.</i>, “Pattern formation in a four-ring reaction-diffusion
    network with heterogeneity.,” <i>Phys Rev E</i>, vol. 105, no. 2–1, p. 024310,
    2022.
  mla: Hunter, I., et al. “Pattern Formation in a Four-Ring Reaction-Diffusion Network
    with Heterogeneity.” <i>Phys Rev E</i>, vol. 105, no. 2–1, 2022, p. 024310.
  short: I. Hunter, M. Norton, B. Chen, C. Simonetti, M. Moustaka, J. Touboul, S.
    Fraden, Phys Rev E 105 (2022) 024310.
date_created: 2022-06-28T07:18:22Z
date_updated: 2022-06-28T07:24:29Z
external_id:
  pmid:
  - '35291089'
intvolume: '       105'
issue: 2-1
page: '024310'
pmid: '1'
publication: Phys Rev E
publication_identifier:
  issn:
  - 2470-0045
  - 2470-0053
status: public
title: Pattern formation in a four-ring reaction-diffusion network with heterogeneity.
type: journal_article
user_id: '15278'
volume: 105
year: '2022'
...
---
_id: '19511'
author:
- first_name: Matthias
  full_name: Pukrop, Matthias
  last_name: Pukrop
- first_name: Stefan
  full_name: Schumacher, Stefan
  last_name: Schumacher
citation:
  ama: Pukrop M, Schumacher S. Externally controlled Lotka-Volterra dynamics in a
    linearly polarized polariton fluid. <i>Physical Review E</i>. 2020. doi:<a href="https://doi.org/10.1103/physreve.101.012207">10.1103/physreve.101.012207</a>
  apa: Pukrop, M., &#38; Schumacher, S. (2020). Externally controlled Lotka-Volterra
    dynamics in a linearly polarized polariton fluid. <i>Physical Review E</i>. <a
    href="https://doi.org/10.1103/physreve.101.012207">https://doi.org/10.1103/physreve.101.012207</a>
  bibtex: '@article{Pukrop_Schumacher_2020, title={Externally controlled Lotka-Volterra
    dynamics in a linearly polarized polariton fluid}, DOI={<a href="https://doi.org/10.1103/physreve.101.012207">10.1103/physreve.101.012207</a>},
    journal={Physical Review E}, author={Pukrop, Matthias and Schumacher, Stefan},
    year={2020} }'
  chicago: Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra
    Dynamics in a Linearly Polarized Polariton Fluid.” <i>Physical Review E</i>, 2020.
    <a href="https://doi.org/10.1103/physreve.101.012207">https://doi.org/10.1103/physreve.101.012207</a>.
  ieee: M. Pukrop and S. Schumacher, “Externally controlled Lotka-Volterra dynamics
    in a linearly polarized polariton fluid,” <i>Physical Review E</i>, 2020.
  mla: Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra
    Dynamics in a Linearly Polarized Polariton Fluid.” <i>Physical Review E</i>, 2020,
    doi:<a href="https://doi.org/10.1103/physreve.101.012207">10.1103/physreve.101.012207</a>.
  short: M. Pukrop, S. Schumacher, Physical Review E (2020).
date_created: 2020-09-17T07:56:54Z
date_updated: 2022-01-06T06:54:06Z
doi: 10.1103/physreve.101.012207
keyword:
- pc2-ressources
language:
- iso: eng
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Physical Review E
publication_identifier:
  issn:
  - 2470-0045
  - 2470-0053
publication_status: published
status: public
title: Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton
  fluid
type: journal_article
user_id: '61189'
year: '2020'
...
---
_id: '40443'
article_number: '012207'
author:
- first_name: Matthias
  full_name: Pukrop, Matthias
  last_name: Pukrop
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
citation:
  ama: Pukrop M, Schumacher S. Externally controlled Lotka-Volterra dynamics in a
    linearly polarized polariton fluid. <i>Physical Review E</i>. 2020;101(1). doi:<a
    href="https://doi.org/10.1103/physreve.101.012207">10.1103/physreve.101.012207</a>
  apa: Pukrop, M., &#38; Schumacher, S. (2020). Externally controlled Lotka-Volterra
    dynamics in a linearly polarized polariton fluid. <i>Physical Review E</i>, <i>101</i>(1),
    Article 012207. <a href="https://doi.org/10.1103/physreve.101.012207">https://doi.org/10.1103/physreve.101.012207</a>
  bibtex: '@article{Pukrop_Schumacher_2020, title={Externally controlled Lotka-Volterra
    dynamics in a linearly polarized polariton fluid}, volume={101}, DOI={<a href="https://doi.org/10.1103/physreve.101.012207">10.1103/physreve.101.012207</a>},
    number={1012207}, journal={Physical Review E}, publisher={American Physical Society
    (APS)}, author={Pukrop, Matthias and Schumacher, Stefan}, year={2020} }'
  chicago: Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra
    Dynamics in a Linearly Polarized Polariton Fluid.” <i>Physical Review E</i> 101,
    no. 1 (2020). <a href="https://doi.org/10.1103/physreve.101.012207">https://doi.org/10.1103/physreve.101.012207</a>.
  ieee: 'M. Pukrop and S. Schumacher, “Externally controlled Lotka-Volterra dynamics
    in a linearly polarized polariton fluid,” <i>Physical Review E</i>, vol. 101,
    no. 1, Art. no. 012207, 2020, doi: <a href="https://doi.org/10.1103/physreve.101.012207">10.1103/physreve.101.012207</a>.'
  mla: Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra
    Dynamics in a Linearly Polarized Polariton Fluid.” <i>Physical Review E</i>, vol.
    101, no. 1, 012207, American Physical Society (APS), 2020, doi:<a href="https://doi.org/10.1103/physreve.101.012207">10.1103/physreve.101.012207</a>.
  short: M. Pukrop, S. Schumacher, Physical Review E 101 (2020).
date_created: 2023-01-26T16:09:04Z
date_updated: 2023-04-20T15:40:00Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '230'
- _id: '35'
doi: 10.1103/physreve.101.012207
intvolume: '       101'
issue: '1'
language:
- iso: eng
publication: Physical Review E
publication_identifier:
  issn:
  - 2470-0045
  - 2470-0053
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton
  fluid
type: journal_article
user_id: '16199'
volume: 101
year: '2020'
...
---
_id: '13287'
author:
- first_name: R.
  full_name: Driben, R.
  last_name: Driben
- first_name: V. V.
  full_name: Konotop, V. V.
  last_name: Konotop
- first_name: B. A.
  full_name: Malomed, B. A.
  last_name: Malomed
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: A. V.
  full_name: Yulin, A. V.
  last_name: Yulin
citation:
  ama: Driben R, Konotop VV, Malomed BA, Meier T, Yulin AV. Nonlinearity-induced localization
    in a periodically driven semidiscrete system. <i>Physical Review E</i>. 2018;97(6).
    doi:<a href="https://doi.org/10.1103/physreve.97.062210">10.1103/physreve.97.062210</a>
  apa: Driben, R., Konotop, V. V., Malomed, B. A., Meier, T., &#38; Yulin, A. V. (2018).
    Nonlinearity-induced localization in a periodically driven semidiscrete system.
    <i>Physical Review E</i>, <i>97</i>(6). <a href="https://doi.org/10.1103/physreve.97.062210">https://doi.org/10.1103/physreve.97.062210</a>
  bibtex: '@article{Driben_Konotop_Malomed_Meier_Yulin_2018, title={Nonlinearity-induced
    localization in a periodically driven semidiscrete system}, volume={97}, DOI={<a
    href="https://doi.org/10.1103/physreve.97.062210">10.1103/physreve.97.062210</a>},
    number={6}, journal={Physical Review E}, author={Driben, R. and Konotop, V. V.
    and Malomed, B. A. and Meier, Torsten and Yulin, A. V.}, year={2018} }'
  chicago: Driben, R., V. V. Konotop, B. A. Malomed, Torsten Meier, and A. V. Yulin.
    “Nonlinearity-Induced Localization in a Periodically Driven Semidiscrete System.”
    <i>Physical Review E</i> 97, no. 6 (2018). <a href="https://doi.org/10.1103/physreve.97.062210">https://doi.org/10.1103/physreve.97.062210</a>.
  ieee: 'R. Driben, V. V. Konotop, B. A. Malomed, T. Meier, and A. V. Yulin, “Nonlinearity-induced
    localization in a periodically driven semidiscrete system,” <i>Physical Review
    E</i>, vol. 97, no. 6, 2018, doi: <a href="https://doi.org/10.1103/physreve.97.062210">10.1103/physreve.97.062210</a>.'
  mla: Driben, R., et al. “Nonlinearity-Induced Localization in a Periodically Driven
    Semidiscrete System.” <i>Physical Review E</i>, vol. 97, no. 6, 2018, doi:<a href="https://doi.org/10.1103/physreve.97.062210">10.1103/physreve.97.062210</a>.
  short: R. Driben, V.V. Konotop, B.A. Malomed, T. Meier, A.V. Yulin, Physical Review
    E 97 (2018).
date_created: 2019-09-18T14:33:51Z
date_updated: 2023-04-21T11:33:39Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '35'
- _id: '230'
doi: 10.1103/physreve.97.062210
intvolume: '        97'
issue: '6'
language:
- iso: eng
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
- _id: '53'
  name: TRR 142
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '72'
  name: TRR 142 - Subproject C2
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Physical Review E
publication_identifier:
  issn:
  - 2470-0045
  - 2470-0053
publication_status: published
status: public
title: Nonlinearity-induced localization in a periodically driven semidiscrete system
type: journal_article
user_id: '16199'
volume: 97
year: '2018'
...
---
_id: '4368'
author:
- first_name: R.
  full_name: Driben, R.
  last_name: Driben
- first_name: V. V.
  full_name: Konotop, V. V.
  last_name: Konotop
- first_name: B. A.
  full_name: Malomed, B. A.
  last_name: Malomed
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: A. V.
  full_name: Yulin, A. V.
  last_name: Yulin
citation:
  ama: Driben R, Konotop VV, Malomed BA, Meier T, Yulin AV. Nonlinearity-induced localization
    in a periodically driven semidiscrete system. <i>Physical Review E</i>. 2018;97(6).
    doi:<a href="https://doi.org/10.1103/physreve.97.062210">10.1103/physreve.97.062210</a>
  apa: Driben, R., Konotop, V. V., Malomed, B. A., Meier, T., &#38; Yulin, A. V. (2018).
    Nonlinearity-induced localization in a periodically driven semidiscrete system.
    <i>Physical Review E</i>, <i>97</i>(6). <a href="https://doi.org/10.1103/physreve.97.062210">https://doi.org/10.1103/physreve.97.062210</a>
  bibtex: '@article{Driben_Konotop_Malomed_Meier_Yulin_2018, title={Nonlinearity-induced
    localization in a periodically driven semidiscrete system}, volume={97}, DOI={<a
    href="https://doi.org/10.1103/physreve.97.062210">10.1103/physreve.97.062210</a>},
    number={6}, journal={Physical Review E}, publisher={American Physical Society
    (APS)}, author={Driben, R. and Konotop, V. V. and Malomed, B. A. and Meier, Torsten
    and Yulin, A. V.}, year={2018} }'
  chicago: Driben, R., V. V. Konotop, B. A. Malomed, Torsten Meier, and A. V. Yulin.
    “Nonlinearity-Induced Localization in a Periodically Driven Semidiscrete System.”
    <i>Physical Review E</i> 97, no. 6 (2018). <a href="https://doi.org/10.1103/physreve.97.062210">https://doi.org/10.1103/physreve.97.062210</a>.
  ieee: 'R. Driben, V. V. Konotop, B. A. Malomed, T. Meier, and A. V. Yulin, “Nonlinearity-induced
    localization in a periodically driven semidiscrete system,” <i>Physical Review
    E</i>, vol. 97, no. 6, 2018, doi: <a href="https://doi.org/10.1103/physreve.97.062210">10.1103/physreve.97.062210</a>.'
  mla: Driben, R., et al. “Nonlinearity-Induced Localization in a Periodically Driven
    Semidiscrete System.” <i>Physical Review E</i>, vol. 97, no. 6, American Physical
    Society (APS), 2018, doi:<a href="https://doi.org/10.1103/physreve.97.062210">10.1103/physreve.97.062210</a>.
  short: R. Driben, V.V. Konotop, B.A. Malomed, T. Meier, A.V. Yulin, Physical Review
    E 97 (2018).
date_created: 2018-09-10T12:17:39Z
date_updated: 2023-04-21T11:31:41Z
department:
- _id: '230'
- _id: '429'
- _id: '15'
- _id: '35'
- _id: '293'
- _id: '170'
doi: 10.1103/physreve.97.062210
intvolume: '        97'
issue: '6'
language:
- iso: eng
project:
- _id: '53'
  name: TRR 142
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '72'
  name: TRR 142 - Subproject C2
publication: Physical Review E
publication_identifier:
  issn:
  - 2470-0045
  - 2470-0053
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Nonlinearity-induced localization in a periodically driven semidiscrete system
type: journal_article
user_id: '16199'
volume: 97
year: '2018'
...
---
_id: '13915'
abstract:
- lang: eng
  text: "The dynamics of a pair of harmonic oscillators represented by three-dimensional
    fields coupled with a repulsive cubic nonlinearity is investigated through direct
    simulations of the respective field equations and with the help of the finite-mode
    Galerkin approximation (GA), which represents the two interacting fields by a
    superposition of \r\n3+3 harmonic-oscillator p-wave eigenfunctions with orbital
    and magnetic quantum numbers l=1 and m=1, 0, −1. The system can be implemented
    in binary Bose-Einstein condensates, demonstrating the potential of the atomic
    condensates to emulate various complex modes predicted by classical field theories.
    First, the GA very accurately predicts a broadly degenerate set of the system's
    ground states in the p-wave manifold, in the form of complexes built of a dipole
    coaxial with another dipole or vortex, as well as complexes built of mutually
    orthogonal dipoles. Next, pairs of noncoaxial vortices and/or dipoles, including
    pairs of mutually perpendicular vortices, develop remarkably stable dynamical
    regimes, which feature periodic exchange of the angular momentum and periodic
    switching between dipoles and vortices. For a moderately strong nonlinearity,
    simulations of the coupled-field equations agree very well with results produced
    by the GA, demonstrating that the dynamics is accurately spanned by the set of
    six modes limited to l=1."
author:
- first_name: R.
  full_name: Driben, R.
  last_name: Driben
- first_name: V. V.
  full_name: Konotop, V. V.
  last_name: Konotop
- first_name: B. A.
  full_name: Malomed, B. A.
  last_name: Malomed
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
citation:
  ama: Driben R, Konotop VV, Malomed BA, Meier T. Dynamics of dipoles and vortices
    in nonlinearly coupled three-dimensional field oscillators. <i>Physical Review
    E</i>. 2016;94(1). doi:<a href="https://doi.org/10.1103/physreve.94.012207">10.1103/physreve.94.012207</a>
  apa: Driben, R., Konotop, V. V., Malomed, B. A., &#38; Meier, T. (2016). Dynamics
    of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators.
    <i>Physical Review E</i>, <i>94</i>(1). <a href="https://doi.org/10.1103/physreve.94.012207">https://doi.org/10.1103/physreve.94.012207</a>
  bibtex: '@article{Driben_Konotop_Malomed_Meier_2016, title={Dynamics of dipoles
    and vortices in nonlinearly coupled three-dimensional field oscillators}, volume={94},
    DOI={<a href="https://doi.org/10.1103/physreve.94.012207">10.1103/physreve.94.012207</a>},
    number={1}, journal={Physical Review E}, author={Driben, R. and Konotop, V. V.
    and Malomed, B. A. and Meier, Torsten}, year={2016} }'
  chicago: Driben, R., V. V. Konotop, B. A. Malomed, and Torsten Meier. “Dynamics
    of Dipoles and Vortices in Nonlinearly Coupled Three-Dimensional Field Oscillators.”
    <i>Physical Review E</i> 94, no. 1 (2016). <a href="https://doi.org/10.1103/physreve.94.012207">https://doi.org/10.1103/physreve.94.012207</a>.
  ieee: 'R. Driben, V. V. Konotop, B. A. Malomed, and T. Meier, “Dynamics of dipoles
    and vortices in nonlinearly coupled three-dimensional field oscillators,” <i>Physical
    Review E</i>, vol. 94, no. 1, 2016, doi: <a href="https://doi.org/10.1103/physreve.94.012207">10.1103/physreve.94.012207</a>.'
  mla: Driben, R., et al. “Dynamics of Dipoles and Vortices in Nonlinearly Coupled
    Three-Dimensional Field Oscillators.” <i>Physical Review E</i>, vol. 94, no. 1,
    2016, doi:<a href="https://doi.org/10.1103/physreve.94.012207">10.1103/physreve.94.012207</a>.
  short: R. Driben, V.V. Konotop, B.A. Malomed, T. Meier, Physical Review E 94 (2016).
date_created: 2019-10-18T08:29:20Z
date_updated: 2023-04-16T21:19:43Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '230'
doi: 10.1103/physreve.94.012207
funded_apc: '1'
intvolume: '        94'
issue: '1'
language:
- iso: eng
publication: Physical Review E
publication_identifier:
  issn:
  - 2470-0045
  - 2470-0053
publication_status: published
status: public
title: Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field
  oscillators
type: journal_article
user_id: '49063'
volume: 94
year: '2016'
...