최소 단어 이상 선택하여야 합니다.
최대 10 단어까지만 선택 가능합니다.
다음과 같은 기능을 한번의 로그인으로 사용 할 수 있습니다.
NTIS 바로가기Journal of statistical physics, v.178 no.6, 2020년, pp.1467 - 1514
Kim, Dohyun , Kim, Jeongho
We propose a Lohe matrix model in a random environment where each oscillator can be regarded as an element of a general matrix Lie group G. In order to make the stochastic system stays on G for all time, we introduce suitable noise terms so that the underlying manifold G is positively invariant und...
J. Math. Phys. SM Ahn 51 103301 2010 10.1063/1.3496895 Ahn, S.M., Ha, S.-Y.: Stochastic flocking dynamics of the Cucker-Smale model with multiplicative white noises. J. Math. Phys. 51, 103301 (2010)
Math. Mod. Methods Appl. Sci. G Albi 29 1901 2019 10.1142/S0218202519500374 Albi, G., Bellomo, N., Fermo, L., Ha, S.-Y., Kim, J., Pareschi, L., Poyato, D., Soler, J.: Vehicular traffic, crowds, and swarms. From kinetic theory and multiscale methods to applications and research perspectives. Math. Mod. Methods Appl. Sci. 29, 1901-2005 (2019)
Math. Mod. Methods Appl. Sci. F Bolley 21 2179 2011 10.1142/S0218202511005702 Bolley, F., Cañizo, J.A., Carrillo, J.A.: Stochastic mean-field limit: non-Lipschitz forces and swarming. Math. Mod. Methods Appl. Sci. 21, 2179-2210 (2011)
Appl. Math. Lett. F Bolley 25 339 2012 10.1016/j.aml.2011.09.011 Bolley, F., Cañizo, J.A., Carrillo, J.A.: Mean-field limit for the stochastic Vicsek model. Appl. Math. Lett. 25, 339-343 (2012)
Nature J Buck 211 562 1966 10.1038/211562a0 Buck, J., Buck, E.: Biology of synchronous flashing of fireflies. Nature 211, 562-564 (1966)
Ann. Appl. Probab. P Cattiaux 28 3239 2018 10.1214/18-AAP1400 Cattiaux, P., Delebecque, F., Pédèches, L.: Stochastic Cucker-Smale models: old and new. Ann. Appl. Probab. 28, 3239-3286 (2018)
J. Math. Phys. D Chi 55 052703 2014 10.1063/1.4878117 Chi, D., Choi, S.-H., Ha, S.-Y.: Emergent behaviors of a holonomic particle system on a sphere. J. Math. Phys. 55, 052703 (2014)
SIAM J. Appl. Dyn. Syst. S-H Choi 13 1417 2014 10.1137/140961699 Choi, S.-H., Ha, S.-Y.: Complete entrainment of Lohe oscillators under attractive and repulsive couplings. SIAM J. Appl. Dyn. Syst. 13, 1417-1441 (2014)
J. Nonlinear Sci. S-H Choi 25 1257 2015 10.1007/s00332-015-9255-8 Choi, S.-H., Ha, S.-Y.: Emergent behaviors of quantum Lohe oscillators with all-to-all couplings. J. Nonlinear Sci. 25, 1257-1283 (2015)
Choi, Y.-P., Ha, S.-Y., Li, Z.: Emergent dynamics of the Cucker-Smale flocking model and its variants. Active particles. Vol. 1. Advances in theory, models, and applications, 299-331, Model. Simul. Sci. Eng. Technol., Birkhäuser, Springer, Cham, (2017)
IEEE Trans. Automat. Control F Cucker 52 852 2007 10.1109/TAC.2007.895842 Cucker, F., Smale, S.: Emergent behavior in flocks. IEEE Trans. Automat. Control 52, 852-862 (2007)
Physica D D Cumin 226 181 2007 10.1016/j.physd.2006.12.004 Cumin, D., Unsworth, C.P.: Generalizing the Kuramoto model for the study of neuronal synchronization in the brain. Physica D 226, 181-196 (2007)
Ann. Sci. Ecole Norm. Sup. P Degond 19 519 1986 10.24033/asens.1516 Degond, P.: Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in 1 and 2 space dimensions. Ann. Sci. Ecole Norm. Sup. 19, 519-542 (1986)
Arch. Ration. Mech. Anal. P Degond 216 63 2015 10.1007/s00205-014-0800-7 Degond, P., Frouvelle, A., Liu, J.-G.: Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. Arch. Ration. Mech. Anal. 216, 63-115 (2015)
J. Stat. Phys. L DeVille 174 160 2019 10.1007/s10955-018-2168-9 DeVille, L.: Synchronization and stability for quantum Kuramoto. J. Stat. Phys. 174, 160-187 (2019)
SIAM J. Math. Anal. A Frouvelle 44 791 2012 10.1137/110823912 Frouvelle, A., Liu, J.-G.: Dynamics in a kinetic model of oriented particles with phase transition. SIAM J. Math. Anal. 44, 791-826 (2012)
Arch. Ration. Mech. Anal. IM Gamba 222 317 2016 10.1007/s00205-016-1002-2 Gamba, I.M., Kang, M.-J.: Global weak solutions for the Kolmogorov-Vicsek type equations with orientational interactions. Arch. Ration. Mech. Anal. 222, 317-342 (2016)
Arch. Ration. Mech. Anal. F Golse 234 1445 2019 10.1007/s00205-019-01416-2 Golse, F., Ha, S.-Y.: A mean-field limit of the Lohe matrix model and emergent dynamics. Arch. Ration. Mech. Anal. 234, 1445-1491 (2019)
J. Stat. Phys. S-Y Ha 163 411 2016 10.1007/s10955-016-1481-4 Ha, S.-Y., Ryoo, S.: On the emergence and orbital stability of phase-locked states for the Lohe model. J. Stat. Phys. 163, 411-439 (2016)
J. Differ. Equ. S-Y Ha 262 2554 2017 10.1016/j.jde.2016.11.017 Ha, S.-Y., Jeong, J., Noh, S.E., Xiao, Q., Zhang, X.: Emergent dynamics of Cucker-Smale flocking particles in a random environment. J. Differ. Equ. 262, 2554-2591 (2017)
J. Stat. Phys. S-Y Ha 175 904 2019 10.1007/s10955-019-02270-y Ha, S.-Y., Kim, D.: Emergent behavior of a second-order Lohe matrix model on the unitary group. J. Stat. Phys. 175, 904-931 (2019)
EMS Surv. Math. Sci. S-Y Ha 3 209 2016 10.4171/EMSS/17 Ha, S.-Y., Ko, D., Park, J., Zhang, X.: Collective synchronization of classical and quantum oscillators. EMS Surv. Math. Sci. 3, 209-267 (2016)
J. Stat. Phys. S-Y Ha 168 171 2017 10.1007/s10955-017-1797-8 Ha, S.-Y., Ko, D., Ryoo, S.W.: Emergent dynamics of a generalized Lohe model on some class of Lie groups. J. Stat. Phys. 168, 171-207 (2017)
J. Stat. Phys. S-Y Ha 172 1427 2018 10.1007/s10955-018-2091-0 Ha, S.-Y., Ko, D., Ryoo, S.W.: On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds. J. Stat. Phys. 172, 1427-1478 (2018)
J. Stat. Phys. S-Y Ha 174 622 2019 10.1007/s10955-018-2169-8 Ha, S.-Y., Kim, D., Lee, J., Noh, S.E.: Particle and kinetic models for swarming particles on a sphere and stability properties. J. Stat. Phys. 174, 622-655 (2019)
Jabin, P.-E., Wang, Z.: Mean field limit for stochastic particle systems. Active particles. Vol. 1. Advances in theory, models, and applications, 379-402, Model. Simul. Sci. Eng. Technol., Birkhäuser, Springer, Cham, (2017)
J. Phys. A MA Lohe 42 395101 2009 10.1088/1751-8113/42/39/395101 Lohe, M.A.: Non-abelian Kuramoto model and synchronization. J. Phys. A 42, 395101 (2009)
J. Phys. A MA Lohe 43 465301 2010 10.1088/1751-8113/43/46/465301 Lohe, M.A.: Quantum synchronization over quantum networks. J. Phys. A 43, 465301 (2010)
Physica C M Machida 468 689 2008 10.1016/j.physc.2007.11.081 Machida, M., Kano, T., Yamada, S., Okumura, M., Imamura, T., Koyama, T.: Quantum synchronization effects in intrinsic Josephson junctions. Physica C 468, 689-694 (2008)
Ecol. l Model V Mirabet 201 468 2007 10.1016/j.ecolmodel.2006.10.018 Mirabet, V., Auger, P., Lett, C.: Spatial structures in simulations of animal grouping. Ecol. l Model 201, 468-476 (2007)
CS Peskin 1975 Mathematical Aspects of Heart Physiology Peskin, C.S.: Mathematical Aspects of Heart Physiology. Courant Institute of Mathematical Sciences, New York (1975)
J. Theor. Biol. AT Winfree 16 15 1967 10.1016/0022-5193(67)90051-3 Winfree, A.T.: Biological rhythms and the behavior of populations of coupled oscillators. J. Theor. Biol. 16, 15-42 (1967)
해당 논문의 주제분야에서 활용도가 높은 상위 5개 콘텐츠를 보여줍니다.
더보기 버튼을 클릭하시면 더 많은 관련자료를 살펴볼 수 있습니다.
※ AI-Helper는 부적절한 답변을 할 수 있습니다.