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Polarization dynamics during takeover collisions of solitons in systems of coupled nonlinears Schödinger equations
1. | Department of Differential Equations, Faculty of Applied Mathematics and Informatics, Technical University of Sofia, 1000 Sofia, Bulgaria |
[1] |
Katherine A. Newhall, Gregor Kovačič, Ildar Gabitov. Polarization dynamics in a resonant optical medium with initial coherence between degenerate states. Discrete and Continuous Dynamical Systems - S, 2020, 13 (8) : 2285-2301. doi: 10.3934/dcdss.2020189 |
[2] |
M. D. Todorov, C. I. Christov. Collision dynamics of circularly polarized solitons in nonintegrable coupled nonlinear Schrödinger system. Conference Publications, 2009, 2009 (Special) : 780-789. doi: 10.3934/proc.2009.2009.780 |
[3] |
Rong Yang, Li Chen. Mean-field limit for a collision-avoiding flocking system and the time-asymptotic flocking dynamics for the kinetic equation. Kinetic and Related Models, 2014, 7 (2) : 381-400. doi: 10.3934/krm.2014.7.381 |
[4] |
Sergey V. Bolotin. Shadowing chains of collision orbits. Discrete and Continuous Dynamical Systems, 2006, 14 (2) : 235-260. doi: 10.3934/dcds.2006.14.235 |
[5] |
Frank Jochmann. Decay of the polarization field in a Maxwell Bloch system. Discrete and Continuous Dynamical Systems, 2003, 9 (3) : 663-676. doi: 10.3934/dcds.2003.9.663 |
[6] |
Alfredo Lorenzi. Identification problems related to cylindrical dielectrics **in presence of polarization**. Discrete and Continuous Dynamical Systems - B, 2014, 19 (7) : 2247-2265. doi: 10.3934/dcdsb.2014.19.2247 |
[7] |
Matthias Gerdts, René Henrion, Dietmar Hömberg, Chantal Landry. Path planning and collision avoidance for robots. Numerical Algebra, Control and Optimization, 2012, 2 (3) : 437-463. doi: 10.3934/naco.2012.2.437 |
[8] |
Claudia Totzeck. An anisotropic interaction model with collision avoidance. Kinetic and Related Models, 2020, 13 (6) : 1219-1242. doi: 10.3934/krm.2020044 |
[9] |
Tian Xiang. Dynamics in a parabolic-elliptic chemotaxis system with growth source and nonlinear secretion. Communications on Pure and Applied Analysis, 2019, 18 (1) : 255-284. doi: 10.3934/cpaa.2019014 |
[10] |
King-Yeung Lam, Wei-Ming Ni. Limiting profiles of semilinear elliptic equations with large advection in population dynamics. Discrete and Continuous Dynamical Systems, 2010, 28 (3) : 1051-1067. doi: 10.3934/dcds.2010.28.1051 |
[11] |
Samuel R. Kaplan, Ernesto A. Lacomba, Jaume Llibre. Symbolic dynamics of the elliptic rectilinear restricted 3--body problem. Discrete and Continuous Dynamical Systems - S, 2008, 1 (4) : 541-555. doi: 10.3934/dcdss.2008.1.541 |
[12] |
Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa, Shoji Yotsutani. Exact multiplicity of stationary limiting problems of a cell polarization model. Discrete and Continuous Dynamical Systems, 2016, 36 (10) : 5627-5655. doi: 10.3934/dcds.2016047 |
[13] |
Gang Bao, Jun Lai. Radar cross section reduction of a cavity in the ground plane: TE polarization. Discrete and Continuous Dynamical Systems - S, 2015, 8 (3) : 419-434. doi: 10.3934/dcdss.2015.8.419 |
[14] |
Alessandro Cucchi, Antoine Mellet, Nicolas Meunier. Self polarization and traveling wave in a model for cell crawling migration. Discrete and Continuous Dynamical Systems, 2022, 42 (5) : 2381-2407. doi: 10.3934/dcds.2021194 |
[15] |
Adriano Festa, Andrea Tosin, Marie-Therese Wolfram. Kinetic description of collision avoidance in pedestrian crowds by sidestepping. Kinetic and Related Models, 2018, 11 (3) : 491-520. doi: 10.3934/krm.2018022 |
[16] |
Vivina Barutello, Gian Marco Canneori, Susanna Terracini. Minimal collision arcs asymptotic to central configurations. Discrete and Continuous Dynamical Systems, 2021, 41 (1) : 61-86. doi: 10.3934/dcds.2020218 |
[17] |
Felipe Cucker, Jiu-Gang Dong. A conditional, collision-avoiding, model for swarming. Discrete and Continuous Dynamical Systems, 2014, 34 (3) : 1009-1020. doi: 10.3934/dcds.2014.34.1009 |
[18] |
Luis A. Caffarelli, Alexis F. Vasseur. The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics. Discrete and Continuous Dynamical Systems - S, 2010, 3 (3) : 409-427. doi: 10.3934/dcdss.2010.3.409 |
[19] |
Tatsuki Mori, Kousuke Kuto, Masaharu Nagayama, Tohru Tsujikawa, Shoji Yotsutani. Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for cell polarization. Conference Publications, 2015, 2015 (special) : 861-877. doi: 10.3934/proc.2015.0861 |
[20] |
Zhenzhen Zheng, Ching-Shan Chou, Tau-Mu Yi, Qing Nie. Mathematical analysis of steady-state solutions in compartment and continuum models of cell polarization. Mathematical Biosciences & Engineering, 2011, 8 (4) : 1135-1168. doi: 10.3934/mbe.2011.8.1135 |
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