{"citation":{"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>.","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).","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>","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>","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"]},"language":[{"iso":"eng"}],"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."}],"_id":"13915","year":"2016","publication":"Physical Review E","date_created":"2019-10-18T08:29:20Z","status":"public","author":[{"last_name":"Driben","first_name":"R.","full_name":"Driben, R."},{"full_name":"Konotop, V. V.","last_name":"Konotop","first_name":"V. V."},{"first_name":"B. A.","last_name":"Malomed","full_name":"Malomed, B. A."},{"last_name":"Meier","first_name":"Torsten","id":"344","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten"}],"funded_apc":"1","intvolume":"        94","user_id":"49063","type":"journal_article","date_updated":"2023-04-16T21:19:43Z","title":"Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators","publication_status":"published","volume":94,"issue":"1","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"}],"doi":"10.1103/physreve.94.012207"}