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(2022). Pattern formation in a four-ring reaction-diffusion network with heterogeneity. Phys Rev E, 105(2–1), 024310.","ama":"Hunter I, Norton M, Chen B, et al. Pattern formation in a four-ring reaction-diffusion network with heterogeneity. Phys Rev E. 2022;105(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} }","mla":"Hunter, I., et al. “Pattern Formation in a Four-Ring Reaction-Diffusion Network with Heterogeneity.” Phys Rev E, 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.","ieee":"I. Hunter et al., “Pattern formation in a four-ring reaction-diffusion network with heterogeneity.,” Phys Rev E, vol. 105, no. 2–1, p. 024310, 2022."},"type":"journal_article","pmid":"1"},{"date_updated":"2022-01-06T06:54:06Z","_id":"19511","doi":"10.1103/physreve.101.012207","citation":{"short":"M. Pukrop, S. Schumacher, Physical Review E (2020).","ieee":"M. Pukrop and S. Schumacher, “Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid,” Physical Review E, 2020.","ama":"Pukrop M, Schumacher S. Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid. Physical Review E. 2020. doi:10.1103/physreve.101.012207","apa":"Pukrop, M., & Schumacher, S. (2020). Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid. Physical Review E. https://doi.org/10.1103/physreve.101.012207","chicago":"Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized Polariton Fluid.” Physical Review E, 2020. https://doi.org/10.1103/physreve.101.012207.","mla":"Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized Polariton Fluid.” Physical Review E, 2020, doi:10.1103/physreve.101.012207.","bibtex":"@article{Pukrop_Schumacher_2020, title={Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid}, DOI={10.1103/physreve.101.012207}, journal={Physical Review E}, author={Pukrop, Matthias and Schumacher, Stefan}, year={2020} }"},"year":"2020","type":"journal_article","language":[{"iso":"eng"}],"title":"Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid","user_id":"61189","author":[{"first_name":"Matthias","full_name":"Pukrop, Matthias","last_name":"Pukrop"},{"first_name":"Stefan","full_name":"Schumacher, Stefan","last_name":"Schumacher"}],"keyword":["pc2-ressources"],"publication":"Physical Review E","publication_status":"published","publication_identifier":{"issn":["2470-0045","2470-0053"]},"status":"public","date_created":"2020-09-17T07:56:54Z","project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}]},{"title":"Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid","publication_status":"published","publication_identifier":{"issn":["2470-0045","2470-0053"]},"department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"230"},{"_id":"35"}],"doi":"10.1103/physreve.101.012207","date_updated":"2023-04-20T15:40:00Z","language":[{"iso":"eng"}],"user_id":"16199","date_created":"2023-01-26T16:09:04Z","status":"public","volume":101,"publication":"Physical Review E","publisher":"American Physical Society (APS)","author":[{"last_name":"Pukrop","first_name":"Matthias","full_name":"Pukrop, Matthias"},{"last_name":"Schumacher","id":"27271","first_name":"Stefan","orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan"}],"issue":"1","article_number":"012207","intvolume":" 101","_id":"40443","type":"journal_article","year":"2020","citation":{"ieee":"M. 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Schumacher, Physical Review E 101 (2020).","mla":"Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized Polariton Fluid.” Physical Review E, vol. 101, no. 1, 012207, American Physical Society (APS), 2020, doi:10.1103/physreve.101.012207.","bibtex":"@article{Pukrop_Schumacher_2020, title={Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid}, volume={101}, DOI={10.1103/physreve.101.012207}, 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.” Physical Review E 101, no. 1 (2020). https://doi.org/10.1103/physreve.101.012207.","apa":"Pukrop, M., & Schumacher, S. (2020). Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid. 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V.","last_name":"Yulin"}],"department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"}],"publication":"Physical Review E","publication_status":"published","volume":97,"publication_identifier":{"issn":["2470-0045","2470-0053"]},"status":"public","date_created":"2019-09-18T14:33:51Z","project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"53","name":"TRR 142"},{"_id":"56","name":"TRR 142 - Project Area C"},{"name":"TRR 142 - Subproject C2","_id":"72"},{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"date_updated":"2023-04-21T11:33:39Z","_id":"13287","intvolume":" 97","doi":"10.1103/physreve.97.062210","issue":"6","year":"2018","type":"journal_article","citation":{"short":"R. Driben, V.V. Konotop, B.A. Malomed, T. Meier, A.V. Yulin, Physical Review E 97 (2018).","ieee":"R. Driben, V. V. Konotop, B. A. Malomed, T. Meier, and A. V. Yulin, “Nonlinearity-induced localization in a periodically driven semidiscrete system,” Physical Review E, vol. 97, no. 6, 2018, doi: 10.1103/physreve.97.062210.","ama":"Driben R, Konotop VV, Malomed BA, Meier T, Yulin AV. Nonlinearity-induced localization in a periodically driven semidiscrete system. Physical Review E. 2018;97(6). doi:10.1103/physreve.97.062210","apa":"Driben, R., Konotop, V. V., Malomed, B. A., Meier, T., & Yulin, A. V. (2018). Nonlinearity-induced localization in a periodically driven semidiscrete system. Physical Review E, 97(6). https://doi.org/10.1103/physreve.97.062210","chicago":"Driben, R., V. V. Konotop, B. A. Malomed, Torsten Meier, and A. V. Yulin. “Nonlinearity-Induced Localization in a Periodically Driven Semidiscrete System.” Physical Review E 97, no. 6 (2018). https://doi.org/10.1103/physreve.97.062210.","bibtex":"@article{Driben_Konotop_Malomed_Meier_Yulin_2018, title={Nonlinearity-induced localization in a periodically driven semidiscrete system}, volume={97}, DOI={10.1103/physreve.97.062210}, 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} }","mla":"Driben, R., et al. “Nonlinearity-Induced Localization in a Periodically Driven Semidiscrete System.” Physical Review E, vol. 97, no. 6, 2018, doi:10.1103/physreve.97.062210."},"language":[{"iso":"eng"}]},{"user_id":"16199","date_created":"2018-09-10T12:17:39Z","status":"public","volume":97,"publication":"Physical Review E","publisher":"American Physical Society (APS)","author":[{"last_name":"Driben","first_name":"R.","full_name":"Driben, 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."},{"id":"344","last_name":"Meier","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten","first_name":"Torsten"},{"last_name":"Yulin","full_name":"Yulin, A. V.","first_name":"A. V."}],"issue":"6","_id":"4368","intvolume":" 97","citation":{"mla":"Driben, R., et al. “Nonlinearity-Induced Localization in a Periodically Driven Semidiscrete System.” Physical Review E, vol. 97, no. 6, American Physical Society (APS), 2018, doi:10.1103/physreve.97.062210.","bibtex":"@article{Driben_Konotop_Malomed_Meier_Yulin_2018, title={Nonlinearity-induced localization in a periodically driven semidiscrete system}, volume={97}, DOI={10.1103/physreve.97.062210}, 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} }","ama":"Driben R, Konotop VV, Malomed BA, Meier T, Yulin AV. Nonlinearity-induced localization in a periodically driven semidiscrete system. Physical Review E. 2018;97(6). doi:10.1103/physreve.97.062210","apa":"Driben, R., Konotop, V. V., Malomed, B. A., Meier, T., & Yulin, A. V. (2018). Nonlinearity-induced localization in a periodically driven semidiscrete system. Physical Review E, 97(6). https://doi.org/10.1103/physreve.97.062210","chicago":"Driben, R., V. V. Konotop, B. A. Malomed, Torsten Meier, and A. V. Yulin. “Nonlinearity-Induced Localization in a Periodically Driven Semidiscrete System.” Physical Review E 97, no. 6 (2018). https://doi.org/10.1103/physreve.97.062210.","ieee":"R. Driben, V. V. Konotop, B. A. Malomed, T. Meier, and A. V. Yulin, “Nonlinearity-induced localization in a periodically driven semidiscrete system,” Physical Review E, vol. 97, no. 6, 2018, doi: 10.1103/physreve.97.062210.","short":"R. Driben, V.V. Konotop, B.A. Malomed, T. Meier, A.V. Yulin, Physical Review E 97 (2018)."},"year":"2018","type":"journal_article","title":"Nonlinearity-induced localization in a periodically driven semidiscrete system","project":[{"name":"TRR 142","_id":"53"},{"_id":"56","name":"TRR 142 - Project Area C"},{"_id":"72","name":"TRR 142 - Subproject C2"}],"publication_identifier":{"issn":["2470-0045","2470-0053"]},"publication_status":"published","department":[{"_id":"230"},{"_id":"429"},{"_id":"15"},{"_id":"35"},{"_id":"293"},{"_id":"170"}],"doi":"10.1103/physreve.97.062210","date_updated":"2023-04-21T11:31:41Z","language":[{"iso":"eng"}]},{"date_updated":"2023-04-16T21:19:43Z","doi":"10.1103/physreve.94.012207","language":[{"iso":"eng"}],"title":"Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"}],"publication_status":"published","publication_identifier":{"issn":["2470-0045","2470-0053"]},"intvolume":" 94","_id":"13915","issue":"1","funded_apc":"1","year":"2016","type":"journal_article","citation":{"bibtex":"@article{Driben_Konotop_Malomed_Meier_2016, title={Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators}, volume={94}, DOI={10.1103/physreve.94.012207}, number={1}, journal={Physical Review E}, author={Driben, R. and Konotop, V. V. and Malomed, B. A. and Meier, Torsten}, year={2016} }","mla":"Driben, R., et al. “Dynamics of Dipoles and Vortices in Nonlinearly Coupled Three-Dimensional Field Oscillators.” Physical Review E, vol. 94, no. 1, 2016, doi:10.1103/physreve.94.012207.","chicago":"Driben, R., V. V. Konotop, B. A. Malomed, and Torsten Meier. “Dynamics of Dipoles and Vortices in Nonlinearly Coupled Three-Dimensional Field Oscillators.” Physical Review E 94, no. 1 (2016). https://doi.org/10.1103/physreve.94.012207.","ama":"Driben R, Konotop VV, Malomed BA, Meier T. Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators. Physical Review E. 2016;94(1). doi:10.1103/physreve.94.012207","apa":"Driben, R., Konotop, V. V., Malomed, B. A., & Meier, T. (2016). Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators. Physical Review E, 94(1). https://doi.org/10.1103/physreve.94.012207","ieee":"R. Driben, V. V. Konotop, B. A. Malomed, and T. Meier, “Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators,” Physical Review E, vol. 94, no. 1, 2016, doi: 10.1103/physreve.94.012207.","short":"R. Driben, V.V. Konotop, B.A. Malomed, T. Meier, Physical Review E 94 (2016)."},"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."}],"user_id":"49063","author":[{"last_name":"Driben","first_name":"R.","full_name":"Driben, R."},{"last_name":"Konotop","first_name":"V. V.","full_name":"Konotop, V. V."},{"first_name":"B. A.","full_name":"Malomed, B. A.","last_name":"Malomed"},{"id":"344","last_name":"Meier","full_name":"Meier, Torsten","orcid":"0000-0001-8864-2072","first_name":"Torsten"}],"publication":"Physical Review E","status":"public","date_created":"2019-10-18T08:29:20Z","volume":94}]