Discrete and Continuous Dynamical Systems. Series BA Journal Bridging Mathematics and Sciences Short Title: Discrete Contin. Dyn. Syst., Ser. B Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1531-3492; 1553-524X/e Online: https://www.aimsciences.org/DCDS-B Comments: Journal; Indexed cover-to-cover Documents Indexed: 3,650 Publications (since 2001) References Indexed: 2,277 Publications with 73,825 References. all top 5 Latest Issues 29, No. 5 (2024) 29, No. 4 (2024) 29, No. 3 (2024) 29, No. 2 (2024) 29, No. 1 (2024) 28, No. 12 (2023) 28, No. 11 (2023) 28, No. 10 (2023) 28, No. 9 (2023) 28, No. 8 (2023) 28, No. 7 (2023) 28, No. 6 (2023) 28, No. 5 (2023) 28, No. 4 (2023) 28, No. 3 (2023) 28, No. 2 (2023) 28, No. 1 (2023) 27, No. 12 (2022) 27, No. 11 (2022) 27, No. 10 (2022) 27, No. 9 (2022) 27, No. 8 (2022) 27, No. 7 (2022) 27, No. 6 (2022) 27, No. 5 (2022) 27, No. 4 (2022) 27, No. 3 (2022) 27, No. 2 (2022) 27, No. 1 (2022) 26, No. 12 (2021) 26, No. 11 (2021) 26, No. 10 (2021) 26, No. 9 (2021) 26, No. 8 (2021) 26, No. 7 (2021) 26, No. 6 (2021) 26, No. 5 (2021) 26, No. 4 (2021) 26, No. 3 (2021) 26, No. 2 (2021) 26, No. 1 (2021) 25, No. 12 (2020) 25, No. 11 (2020) 25, No. 10 (2020) 25, No. 9 (2020) 25, No. 8 (2020) 25, No. 7 (2020) 25, No. 6 (2020) 25, No. 5 (2020) 25, No. 4 (2020) 25, No. 3 (2020) 25, No. 2 (2020) 25, No. 1 (2020) 24, No. 12 (2019) 24, No. 11 (2019) 24, No. 10 (2019) 24, No. 9 (2019) 24, No. 8 (2019) 24, No. 7 (2019) 24, No. 6 (2019) 24, No. 5 (2019) 24, No. 4 (2019) 24, No. 3 (2019) 24, No. 2 (2019) 24, No. 1 (2019) 23, No. 10 (2018) 23, No. 9 (2018) 23, No. 8 (2018) 23, No. 7 (2018) 23, No. 6 (2018) 23, No. 5 (2018) 23, No. 4 (2018) 23, No. 3 (2018) 23, No. 2 (2018) 23, No. 1 (2018) 22, No. 10 (2017) 22, No. 9 (2017) 22, No. 8 (2017) 22, No. 7 (2017) 22, No. 6 (2017) 22, No. 5 (2017) 22, No. 4 (2017) 22, No. 3 (2017) 22, No. 2 (2017) 22, No. 1 (2017) 21, No. 10 (2016) 21, No. 9 (2016) 21, No. 8 (2016) 21, No. 7 (2016) 21, No. 6 (2016) 21, No. 5 (2016) 21, No. 4 (2016) 21, No. 3 (2016) 21, No. 2 (2016) 21, No. 1 (2016) 20, No. 10 (2015) 20, No. 9 (2015) 20, No. 8 (2015) 20, No. 7 (2015) 20, No. 6 (2015) ...and 95 more Volumes all top 5 Authors 31 Caraballo Garrido, Tomás 24 Llibre, Jaume 21 Li, Wan-Tong 19 Ruan, Shigui 17 Kloeden, Peter Eris 15 Giesl, Peter 15 Hsu, Szebi 15 Huang, Jianhua 15 Ledzewicz, Urszula 13 Guo, Shangjiang 13 Mao, Xuerong 13 Mu, Chunlai 13 Wang, Feng-Bin 12 He, Yinnian 12 Kuang, Yang 12 Liu, Jianguo 12 Schättler, Heinz Michael 12 Valero, José 12 Zhang, Zhimin 12 Zhong, Chengkui 11 Ha, Seung-Yeal 11 Wang, Bixiang 11 Wang, Yejuan 10 Gao, Hongjun 10 Guo, Boling 10 Li, Yong 10 Lin, Zhigui 10 Lou, Yuan 10 Nie, Qing 10 Shi, Junping 10 Zhao, Xiao-Qiang 9 Duan, Jinqiao 9 Garrido-Atienza, María José 9 Hafstein, Sigurður Freyr 9 Lenhart, Suzanne M. 9 Li, Yangrong 9 Ma, Wanbiao 9 Schmalfuß, Björn 9 Siegmund, Stefan 9 Thieme, Horst R. 9 Wang, Jinliang 9 Wang, Mingxin 9 Wang, Zhian 9 Wu, Jianhong 9 Yuan, Rong 9 Zhang, Mingji 9 Zhong, Xin 9 Zou, Xingfu 8 Friedman, Avner 8 Hu, Bei 8 Huang, Lihong 8 Kolokolnikov, Theodore 8 Krejčí, Pavel 8 Magal, Pierre 8 Qiu, Zhipeng 8 Simó, Carles 8 Valls Anglés, Cláudia 8 Wang, Hao 8 Wang, Qi 8 Wang, Wendi 8 Wang, Zhongqing 8 Wu, Fuke 8 Xiao, Dongmei 8 You, Bo 8 Yu, Jian-She 8 Zhang, Weinian 7 Chen, Yuming 7 Du, Qiang 7 Feng, Zhaosheng 7 Han, Xiaoying 7 Jentzen, Arnulf 7 Li, Bingtuan 7 Li, Ji 7 Lin, Guo 7 Ma, Qiaozhen 7 Ma, Tian 7 Mei, Linfeng 7 Migórski, Stanisław 7 Nie, Hua 7 Nolasco de Carvalho, Alexandre 7 Rachinskii, Dmitrii I. 7 Schmeidel, Ewa L. 7 Takeuchi, Yasuhiro 7 Teng, Zhi-dong 7 Tung, Ka Kit 7 Wang, Quan 7 Wang, Zhi Cheng 7 Webb, Glenn Francis 7 Wei, Junjie 7 Wu, Jianhua 7 Yin, Jingxue 7 Zhang, Xuping 7 Zhu, Huaiping 6 Adimy, Mostafa 6 Allaire, Grégoire 6 Cantrell, Robert Stephen 6 Chen, Guanrong 6 Chen, Lansun 6 Chen, Xingwu 6 Ducrot, Arnaud ...and 5,446 more Authors all top 5 Fields 1,813 Partial differential equations (35-XX) 1,314 Biology and other natural sciences (92-XX) 953 Ordinary differential equations (34-XX) 858 Dynamical systems and ergodic theory (37-XX) 450 Probability theory and stochastic processes (60-XX) 425 Numerical analysis (65-XX) 417 Fluid mechanics (76-XX) 250 Systems theory; 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matrix theory (15-XX) 10 Special functions (33-XX) 8 History and biography (01-XX) 8 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 7 General topology (54-XX) 7 Astronomy and astrophysics (85-XX) 5 Field theory and polynomials (12-XX) 5 Algebraic geometry (14-XX) 4 Abstract harmonic analysis (43-XX) 4 Convex and discrete geometry (52-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Relativity and gravitational theory (83-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,768 Publications have been cited 22,427 times in 17,114 Documents Cited by ▼ Year ▼ Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Zbl 0997.76023 Gerbeau, J.-F.; Perthame, B. 147 2001 The diffusive competition model with a free boundary: invasion of a superior or inferior competitor. Zbl 1310.35245 Du, Yihong; Lin, Zhigui 121 2014 Optimal control of treatments in a two-strain tuberculosis model. Zbl 1005.92018 Jung, E.; Lenhart, S.; Feng, Z. 117 2002 Chemotaxis can prevent thresholds on population density. Zbl 1337.35160 Lankeit, Johannes 105 2015 Fisher waves in an epidemic model. Zbl 1097.34022 Zhao, Xiao-Qiang; Wang, Wendi 95 2004 Mathematics of traveling waves in chemotaxis. Zbl 1277.35006 Wang, Zhi-An 94 2013 Analysis of upscaling absolute permeability. Zbl 1162.65327 Wu, X. H.; Efendiev, Y.; Hou, T. Y. 91 2002 Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092 Huang, Jicai; Gong, Yijun; Ruan, Shigui 89 2013 Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions. Zbl 1201.60063 Caraballo, Tomás; Garrido-Atienza, María J.; Schmalfuss, Björn; Valero, José 88 2010 Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system. Zbl 1334.35104 Li, Yuxiang; Zhang, Qingshan 80 2015 Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay. Zbl 1169.92033 Zhu, Huiyan; Zou, Xingfu 79 2009 Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals. Zbl 1329.35075 Winkler, Michael; Tao, Youshan 78 2015 Pattern formation of the attraction-repulsion Keller-Segel system. Zbl 1277.35048 Liu, Ping; Shi, Junping; Wang, Zhi-An 76 2013 Optimal control of vector-borne diseases: Treatment and prevention. Zbl 1162.92034 Blayneh, Kbenesh; Cao, Yanzhao; Kwon, Hee-Dae 74 2009 Traveling waves in a nonlocal dispersal Kermack-McKendrick epidemic model. Zbl 1277.35107 Yang, Fei-Ying; Li, Yan; Li, Wan-Tong; Wang, Zhi-Cheng 70 2013 Error analysis of stabilized semi-implicit method of Allen-Cahn equation. Zbl 1201.65170 Yang, Xiaofeng 69 2009 Modelling and analysis of integrated pest management strategy. Zbl 1114.92074 Tang, Sanyi; Chen, Lansun 69 2004 Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian. Zbl 1145.65085 Oberman, Adam M. 69 2008 Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity. Zbl 1366.35068 Mizukami, Masaaki 65 2017 Global analysis of age-structured within-host virus model. Zbl 1347.92080 Browne, Cameron J.; Pilyugin, Sergei S. 64 2013 A parametrization method for the computation of invariant tori and their whiskers in quasi-periodic maps: numerical algorithms. Zbl 1296.37048 Haro, À.; de la Llave, R. 63 2006 Global classical solutions of a 3D chemotaxis-Stokes system with rotation. Zbl 1322.35061 Cao, Xinru; Wang, Yulan 63 2015 On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\). Zbl 1303.26007 Mainardi, Francesco 63 2014 On a well-posed turbulence model. Zbl 1089.76028 Layton, W.; Lewandowski, R. 62 2006 Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models. Zbl 1201.35069 Lin, Guo; Li, Wan-Tong; Ma, Mingju 61 2010 Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems. Zbl 1377.35158 Winkler, Michael 61 2017 Stability in thermoelasticity of type III. Zbl 1118.74012 Quintanilla, Ramon; Racke, Reinhard 60 2003 \(Z\)-eigenvalue inclusion theorems for tensors. Zbl 1362.15014 Wang, Gang; Zhou, Guanglu; Caccetta, Louis 59 2017 A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations. Zbl 1407.65097 Chen, Wenbin; Feng, Wenqiang; Liu, Yuan; Wang, Cheng; Wise, Steven M. 59 2019 Pullback attractors for stochastic heat equations in materials with memory. Zbl 1152.60044 Caraballo, T.; Real, J.; Chueshov, I. D. 58 2008 A mathematical model of tumor-immune evasion and siRNA treatment. Zbl 1083.37531 Arciero, J. C.; Jackson, T. L.; Kirschner, D. E. 57 2004 A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups. Zbl 1219.93017 Miller, Luc 56 2010 Random dynamical systems for stochastic partial differential equations driven by a fractional Brownian motion. Zbl 1200.37075 Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn 56 2010 Optimal control of ODE systems involving a rate independent variational inequality. Zbl 1260.49002 Brokate, Martin; Krejčí, Pavel 56 2013 Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects. Zbl 1326.35041 Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Lasiecka, Irena; Falcão Nascimento, Flávio A. 55 2014 Analysis of a phase field Navier-Stokes vesicle-fluid interaction model. Zbl 1172.74016 Du, Qiang; Li, Manlin; Liu, Chun 54 2007 On the time decay of solutions in porous-thermo-elasticity of type II. Zbl 1197.35053 Leseduarte, M. Carme; Magaña, Antonio; Quintanilla, Ramón 54 2010 Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension. Zbl 1272.35040 Tao, Youshan; Wang, Lihe; Wang, Zhi-An 54 2013 A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094 Friedman, Avner 53 2004 A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations. Zbl 1348.37114 Li, Yangrong; Yin, Jinyan 53 2016 Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise. Zbl 1396.35078 Gu, Anhui; Wang, Bixiang 53 2018 Impulsive vaccination of SIR epidemic models with nonlinear incidence rates. Zbl 1100.92040 Hui, Jing; Chen, Lansun 52 2004 Review on computational methods for Lyapunov functions. Zbl 1337.37001 Hafstein, Sigurdur; Giesl, Peter 52 2015 On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models. Zbl 1202.35172 Larios, Adam; Titi, Edriss S. 52 2010 Well-posedness and numerical algorithm for the tempered fractional differential equations. Zbl 1414.34005 Li, Can; Deng, Weihua; Zhao, Lijing 51 2019 Infinite propagation speed for a two component Camassa-Holm equation. Zbl 1180.35458 Henry, David 50 2009 Analysis of a scalar nonlocal peridynamic model with a sign changing kernel. Zbl 1278.45014 Mengesha, Tadele; Du, Qiang 50 2013 Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type. Zbl 1277.35071 Ishida, Sachiko; Yokota, Tomomi 48 2013 Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076 Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 47 2007 Global existence for chemotaxis with finite sampling radius. Zbl 1116.92011 Hillen, T.; Painter, K.; Schmeiser, C. 46 2007 Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008 Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese 46 2014 Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous forcing. Zbl 1264.37046 Adili, Abiti; Wang, Bixiang 46 2013 A model for disease transmission in a patchy environment. Zbl 1088.92050 Salmani, Mahin; van den Driessche, P. 45 2006 Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. Zbl 1360.35084 Black, Tobias 45 2017 Long-time behaviour of a perturbed SIR model by white noise. Zbl 1435.92077 Lin, Yuguo; Jiang, Daqing 45 2013 Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040 Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui 44 2011 A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver. Zbl 1278.65149 Aristotelous, Andreas C.; Karakashian, Ohannes; Wise, Steven M. 44 2013 Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity. Zbl 1330.35051 Senba, Takasi; Fujie, Kentarou 43 2016 Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity. Zbl 1370.35052 Cao, Xinru 43 2017 Second-sound phenomena in inviscid, thermally relaxing gases. Zbl 1302.76095 Jordan, Pedro M. 43 2014 Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance. Zbl 1279.60068 Higham, Desmond J.; Mao, Xuerong; Szpruch, Lukasz 43 2013 Invariant measures and statistical solutions of the globally modified Navier-Stokes equations. Zbl 1187.35152 Caraballo, Tomás; Kloeden, Peter E.; Real, José 42 2008 Environmental variability and mean-reverting processes. Zbl 1347.60066 Allen, Edward 42 2016 Existence and uniqueness of solutions of free boundary problems in heterogeneous environments. Zbl 1404.35230 Wang, Mingxin 42 2019 Sufficient conditions for stability of linear differential equations with distributed delay. Zbl 0993.34065 Bernard, Samuel; Bélair, Jacques; Mackey, Michael C. 41 2001 Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems. Zbl 1092.37523 Aubry, S.; Kopidakis, G.; Kadelburg, V. 41 2001 A multilayer Saint-Venant model: derivation and numerical validation. Zbl 1075.35030 Audusse, E. 41 2005 Nonlocal convection-diffusion volume-constrained problems and jump processes. Zbl 1284.35223 Du, Qiang; Huang, Zhan; Lehoucq, Richard B. 41 2014 Spatial structures and generalized travelling waves for an integro-differential equation. Zbl 1191.35041 Apreutesei, Narcisa; Bessonov, Nikolai; Volpert, Vitaly; Vougalter, Vitali 40 2010 Competitive-exclusion versus competitive-coexistence for systems in the plane. Zbl 1116.37030 Kulenović, M. R. S.; Merino, Orlando 40 2006 On a generalized Cahn-Hilliard equation with biological applications. Zbl 1304.35133 Cherfils, Laurence; Miranville, Alain; Zelik, Sergey 40 2014 Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source. Zbl 1366.35067 Lin, Ke; Mu, Chunlai 40 2017 Intraspecific interference and consumer-resource dynamics. Zbl 1100.92061 Cantrell, Robert Stephen; Cosner, Chris; Ruan, Shigui 39 2004 Global dynamics of a predator-prey model with Hassell-Varley type functional response. Zbl 1160.34046 Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang 39 2008 Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity. Zbl 1282.35189 Tao, Youshan 39 2013 Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one. Zbl 1217.35099 Ding, Shijin; Wang, Changyou; Wen, Huanyao 38 2011 Travelling waves for integro-differential equations in population dynamics. Zbl 1173.35541 Apreutesei, Narcisa; Ducrot, Arnaud; Volpert, Vitaly 38 2009 The polynomial-preserving recovery for higher order finite element methods in 2D and 3D. Zbl 1078.65108 Naga, A.; Zhang, Z. 38 2005 Global bifurcation for discrete competitive systems in the plane. Zbl 1175.37058 Kulenović, M. R. 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Zbl 1258.35033 Vaidya, Naveen K.; Wang, Feng-Bin; Zou, Xingfu 35 2012 A mathematical model for the propagation of a hantavirus in structured population. Zbl 1058.35146 Wolf, Cédric 34 2004 Traveling wave solutions of a nonlocal delayed SIR model without outbreak threshold. Zbl 1311.35051 Li, Wan-Tong; Lin, Guo; Ma, Cong; Yang, Fei-Ying 34 2014 The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime. Zbl 1304.35051 Kolokolnikov, Theodore; Ward, Michael J.; Wei, Juncheng 34 2014 Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. Zbl 1415.35059 Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz 34 2018 Global analysis of a stochastic TB model with vaccination and treatment. Zbl 1418.92075 Feng, Tao; Qiu, Zhipeng 34 2019 Stability and weak rotation limit of solitary waves of the Ostrovsky equation. Zbl 1129.35453 Levandovsky, Steve; Liu, Yue 33 2007 Interaction of diffusion and delay. 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Zbl 1516.35171 Yang, Lu; Li, Yongkun 3 2023 Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems. Zbl 1521.35029 Gaffney, Eamonn A.; Krause, Andrew L.; Maini, Philip K.; Wang, Chenyuan 2 2023 Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models. Zbl 1521.35103 Khan, Kamruzzaman; Schaerf, Timothy M.; Du, Yihong 2 2023 Stability and Hopf bifurcation in an age-structured SIR epidemic model with relapse. Zbl 1508.37120 Sun, Dandan; Li, Yingke; Teng, Zhidong; Zhang, Tailei 2 2023 Asymptotic behavior of solutions for hyperbolic equations with time-dependent memory kernels. Zbl 1502.35021 Mei, Xinyu; Zhu, Kaixuan 2 2023 Exponential stability for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights. 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Zbl 1511.86002 Yin, Xiuwei; Yan, Litan 1 2023 ...and 1258 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 17,772 Authors 96 Caraballo Garrido, Tomás 95 Li, Wan-Tong 70 Jiang, Daqing 66 Quintanilla de Latorre, Ramón 64 Winkler, Michael 64 Yang, Xiaofeng 62 Wang, Bixiang 61 Mu, Chunlai 60 Ruan, Shigui 59 Teng, Zhi-dong 55 Wang, Hao 54 Li, Yangrong 48 Kloeden, Peter Eris 48 Wang, Mingxin 48 Wang, Zhian 46 Llibre, Jaume 46 Yuan, Rong 45 Chung, Tsz Shun Eric 44 Du, Qiang 42 Mao, Xuerong 42 Wang, Zhi Cheng 42 Zhao, Xiao-Qiang 41 Guo, Shangjiang 39 Chen, Lansun 39 Zheng, Pan 38 Wang, Jinliang 37 Carrillo de la Plata, José Antonio 37 Gao, Hongjun 37 Kulenović, Mustafa R. 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