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The flow of the equalmass spatial 3body problem in the neighborhood of the equilateral relative equilibrium
Dynamical systems modeling of lowfrequency variability in loworder atmospheric models
1.  Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, Netherlands 
2.  College of Engineering, Mathematics and Physical Sciences, University of Exeter, Harrison Building, North Park Road, EX4 4QF, Exeter, United Kingdom 
[1] 
F.J. Herranz, J. de Lucas, C. Sardón. JacobiLie systems: Fundamentals and lowdimensional classification. Conference Publications, 2015, 2015 (special) : 605614. doi: 10.3934/proc.2015.0605 
[2] 
Mickaël D. Chekroun, Michael Ghil, Honghu Liu, Shouhong Wang. Lowdimensional Galerkin approximations of nonlinear delay differential equations. Discrete & Continuous Dynamical Systems  A, 2016, 36 (8) : 41334177. doi: 10.3934/dcds.2016.36.4133 
[3] 
ChuiJie Wu. Large optimal truncated lowdimensional dynamical systems. Discrete & Continuous Dynamical Systems  A, 1996, 2 (4) : 559583. doi: 10.3934/dcds.1996.2.559 
[4] 
Dmitrii Rachinskii. Realization of arbitrary hysteresis by a lowdimensional gradient flow. Discrete & Continuous Dynamical Systems  B, 2016, 21 (1) : 227243. doi: 10.3934/dcdsb.2016.21.227 
[5] 
Andrey Sarychev. Controllability of the cubic Schroedinger equation via a lowdimensional source term. Mathematical Control & Related Fields, 2012, 2 (3) : 247270. doi: 10.3934/mcrf.2012.2.247 
[6] 
ChuiJie Wu, Hongliang Zhao. Generalized HWDPOD method and coupling lowdimensional dynamical system of turbulence. Conference Publications, 2001, 2001 (Special) : 371379. doi: 10.3934/proc.2001.2001.371 
[7] 
Andrey Sarychev. Errata: Controllability of the cubic Schroedinger equation via a lowdimensional source term. Mathematical Control & Related Fields, 2014, 4 (2) : 261261. doi: 10.3934/mcrf.2014.4.261 
[8] 
Jing Zhou, Zhibin Deng. A lowdimensional SDP relaxation based spatial branch and bound method for nonconvex quadratic programs. Journal of Industrial & Management Optimization, 2017, 13 (5) : 116. doi: 10.3934/jimo.2019044 
[9] 
Heikki Haario, Leonid Kalachev, Marko Laine. Reduction and identification of dynamic models. Simple example: Generic receptor model. Discrete & Continuous Dynamical Systems  B, 2013, 18 (2) : 417435. doi: 10.3934/dcdsb.2013.18.417 
[10] 
David Julitz. Numerical approximation of atmosphericocean models with subdivision algorithm. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 429447. doi: 10.3934/dcds.2007.18.429 
[11] 
Brittan Farmer, Cassandra Hall, Selim Esedoḡlu. Source identification from line integral measurements and simple atmospheric models. Inverse Problems & Imaging, 2013, 7 (2) : 471490. doi: 10.3934/ipi.2013.7.471 
[12] 
Julián LópezGómez, Marcela MolinaMeyer, Andrea Tellini. Intricate bifurcation diagrams for a class of onedimensional superlinear indefinite problems of interest in population dynamics. Conference Publications, 2013, 2013 (special) : 515524. doi: 10.3934/proc.2013.2013.515 
[13] 
Zhouchen Lin. A review on lowrank models in data analysis. Big Data & Information Analytics, 2016, 1 (2&3) : 139161. doi: 10.3934/bdia.2016001 
[14] 
Qixuan Wang, Hans G. Othmer. The performance of discrete models of low reynolds number swimmers. Mathematical Biosciences & Engineering, 2015, 12 (6) : 13031320. doi: 10.3934/mbe.2015.12.1303 
[15] 
Wenxiang Cong, Ge Wang, Qingsong Yang, Jia Li, Jiang Hsieh, Rongjie Lai. CT image reconstruction on a low dimensional manifold. Inverse Problems & Imaging, 2019, 13 (3) : 449460. doi: 10.3934/ipi.2019022 
[16] 
Linda J. S. Allen, P. van den Driessche. Stochastic epidemic models with a backward bifurcation. Mathematical Biosciences & Engineering, 2006, 3 (3) : 445458. doi: 10.3934/mbe.2006.3.445 
[17] 
Anatoly N. Kochubei, Yuri Kondratiev. Fractional kinetic hierarchies and intermittency. Kinetic & Related Models, 2017, 10 (3) : 725740. doi: 10.3934/krm.2017029 
[18] 
James Walsh, Esther Widiasih. A dynamics approach to a loworder climate model. Discrete & Continuous Dynamical Systems  B, 2014, 19 (1) : 257279. doi: 10.3934/dcdsb.2014.19.257 
[19] 
Daniele Castorina, Pierpaolo Esposito, Berardino Sciunzi. Low dimensional instability for semilinear and quasilinear problems in $\mathbb{R}^N$. Communications on Pure & Applied Analysis, 2009, 8 (6) : 17791793. doi: 10.3934/cpaa.2009.8.1779 
[20] 
Jianyu Chen, HongKun Zhang. Statistical properties of onedimensional expanding maps with singularities of low regularity. Discrete & Continuous Dynamical Systems  A, 2019, 39 (9) : 49554977. doi: 10.3934/dcds.2019203 
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