[{"_id":"32239","external_id":{"pmid":["35291089"]},"user_id":"15278","type":"journal_article","publication":"Phys Rev E","status":"public","date_updated":"2022-06-28T07:24:29Z","date_created":"2022-06-28T07:18:22Z","author":[{"first_name":"I","last_name":"Hunter","full_name":"Hunter, I"},{"first_name":"MM","full_name":"Norton, MM","last_name":"Norton"},{"last_name":"Chen","full_name":"Chen, B","first_name":"B"},{"first_name":"C","last_name":"Simonetti","full_name":"Simonetti, C"},{"full_name":"Moustaka, ME","last_name":"Moustaka","first_name":"ME"},{"first_name":"J","full_name":"Touboul, J","last_name":"Touboul"},{"first_name":"S","last_name":"Fraden","full_name":"Fraden, S"}],"volume":105,"title":"Pattern formation in a four-ring reaction-diffusion network with heterogeneity.","publication_identifier":{"issn":["2470-0045","2470-0053"]},"pmid":"1","issue":"2-1","year":"2022","citation":{"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.","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.","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} }","short":"I. Hunter, M. Norton, B. Chen, C. Simonetti, M. Moustaka, J. Touboul, S. Fraden, Phys Rev E 105 (2022) 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.","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."},"intvolume":"       105","page":"024310"},{"year":"2020","citation":{"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>","short":"M. Pukrop, S. Schumacher, Physical Review E (2020).","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} }","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>.","ieee":"M. Pukrop and S. Schumacher, “Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid,” <i>Physical Review E</i>, 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>.","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>"},"publication_identifier":{"issn":["2470-0045","2470-0053"]},"publication_status":"published","title":"Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid","doi":"10.1103/physreve.101.012207","date_updated":"2022-01-06T06:54:06Z","date_created":"2020-09-17T07:56:54Z","author":[{"first_name":"Matthias","full_name":"Pukrop, Matthias","last_name":"Pukrop"},{"last_name":"Schumacher","full_name":"Schumacher, Stefan","first_name":"Stefan"}],"status":"public","publication":"Physical Review E","type":"journal_article","keyword":["pc2-ressources"],"language":[{"iso":"eng"}],"_id":"19511","project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"user_id":"61189"},{"doi":"10.1103/physreve.101.012207","title":"Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid","date_created":"2023-01-26T16:09:04Z","author":[{"first_name":"Matthias","full_name":"Pukrop, Matthias","last_name":"Pukrop"},{"full_name":"Schumacher, Stefan","id":"27271","last_name":"Schumacher","orcid":"0000-0003-4042-4951","first_name":"Stefan"}],"volume":101,"publisher":"American Physical Society (APS)","date_updated":"2023-04-20T15:40:00Z","citation":{"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} }","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).","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>","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>."},"intvolume":"       101","year":"2020","issue":"1","publication_status":"published","publication_identifier":{"issn":["2470-0045","2470-0053"]},"language":[{"iso":"eng"}],"article_number":"012207","user_id":"16199","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"230"},{"_id":"35"}],"_id":"40443","status":"public","type":"journal_article","publication":"Physical Review E"},{"department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"}],"user_id":"16199","_id":"13287","project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"name":"TRR 142","_id":"53"},{"name":"TRR 142 - Project Area C","_id":"56"},{"name":"TRR 142 - Subproject C2","_id":"72"},{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"language":[{"iso":"eng"}],"publication":"Physical Review E","type":"journal_article","status":"public","volume":97,"date_created":"2019-09-18T14:33:51Z","author":[{"last_name":"Driben","full_name":"Driben, R.","first_name":"R."},{"last_name":"Konotop","full_name":"Konotop, V. V.","first_name":"V. V."},{"first_name":"B. A.","last_name":"Malomed","full_name":"Malomed, B. A."},{"first_name":"Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","id":"344","full_name":"Meier, Torsten"},{"full_name":"Yulin, A. V.","last_name":"Yulin","first_name":"A. V."}],"date_updated":"2023-04-21T11:33:39Z","doi":"10.1103/physreve.97.062210","title":"Nonlinearity-induced localization in a periodically driven semidiscrete system","issue":"6","publication_identifier":{"issn":["2470-0045","2470-0053"]},"publication_status":"published","intvolume":"        97","citation":{"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} }","short":"R. Driben, V.V. Konotop, B.A. Malomed, T. Meier, A.V. Yulin, Physical Review E 97 (2018).","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>.","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>.","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>"},"year":"2018"},{"language":[{"iso":"eng"}],"user_id":"16199","department":[{"_id":"230"},{"_id":"429"},{"_id":"15"},{"_id":"35"},{"_id":"293"},{"_id":"170"}],"project":[{"_id":"53","name":"TRR 142"},{"_id":"56","name":"TRR 142 - Project Area C"},{"_id":"72","name":"TRR 142 - Subproject C2"}],"_id":"4368","status":"public","type":"journal_article","publication":"Physical Review E","doi":"10.1103/physreve.97.062210","title":"Nonlinearity-induced localization in a periodically driven semidiscrete system","date_created":"2018-09-10T12:17:39Z","author":[{"last_name":"Driben","full_name":"Driben, R.","first_name":"R."},{"full_name":"Konotop, V. V.","last_name":"Konotop","first_name":"V. V."},{"first_name":"B. A.","full_name":"Malomed, B. A.","last_name":"Malomed"},{"id":"344","full_name":"Meier, Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","first_name":"Torsten"},{"full_name":"Yulin, A. V.","last_name":"Yulin","first_name":"A. V."}],"volume":97,"publisher":"American Physical Society (APS)","date_updated":"2023-04-21T11:31:41Z","citation":{"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} }","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).","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>","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>.","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>.","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>"},"intvolume":"        97","year":"2018","issue":"6","publication_status":"published","publication_identifier":{"issn":["2470-0045","2470-0053"]}},{"title":"Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators","doi":"10.1103/physreve.94.012207","date_updated":"2023-04-16T21:19:43Z","volume":94,"author":[{"full_name":"Driben, R.","last_name":"Driben","first_name":"R."},{"first_name":"V. V.","full_name":"Konotop, V. V.","last_name":"Konotop"},{"last_name":"Malomed","full_name":"Malomed, B. A.","first_name":"B. A."},{"last_name":"Meier","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten","id":"344","first_name":"Torsten"}],"date_created":"2019-10-18T08:29:20Z","year":"2016","intvolume":"        94","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>","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>.","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>","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).","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} }"},"publication_identifier":{"issn":["2470-0045","2470-0053"]},"publication_status":"published","issue":"1","funded_apc":"1","language":[{"iso":"eng"}],"_id":"13915","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"}],"user_id":"49063","abstract":[{"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.","lang":"eng"}],"status":"public","publication":"Physical Review E","type":"journal_article"}]