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Decay rate at infinity of the positive solutions of a generalized class of $T$homasFermi equations
Discrete and differential homotopy in circular restricted threebody control
1.  Math. Institute, Bourgogne Univ. & CRNS, 9 avenue Savary, F21078 Dijon, France 
2.  Math. Institute, Bourgogne Univ. & CNRS, 9 avenue Savary, F21078 Dijon, France 
[1] 
Hildeberto E. Cabral, Zhihong Xia. Subharmonic solutions in the restricted threebody problem. Discrete & Continuous Dynamical Systems  A, 1995, 1 (4) : 463474. doi: 10.3934/dcds.1995.1.463 
[2] 
Jungsoo Kang. Some remarks on symmetric periodic orbits in the restricted threebody problem. Discrete & Continuous Dynamical Systems  A, 2014, 34 (12) : 52295245. doi: 10.3934/dcds.2014.34.5229 
[3] 
Qinglong Zhou, Yongchao Zhang. Analytic results for the linear stability of the equilibrium point in Robe's restricted elliptic threebody problem. Discrete & Continuous Dynamical Systems  A, 2017, 37 (3) : 17631787. doi: 10.3934/dcds.2017074 
[4] 
Frederic Gabern, Àngel Jorba, Philippe Robutel. On the accuracy of restricted threebody models for the Trojan motion. Discrete & Continuous Dynamical Systems  A, 2004, 11 (4) : 843854. doi: 10.3934/dcds.2004.11.843 
[5] 
Edward Belbruno. Random walk in the threebody problem and applications. Discrete & Continuous Dynamical Systems  S, 2008, 1 (4) : 519540. doi: 10.3934/dcdss.2008.1.519 
[6] 
Marcel Guardia, Tere M. Seara, Pau Martín, Lara Sabbagh. Oscillatory orbits in the restricted elliptic planar three body problem. Discrete & Continuous Dynamical Systems  A, 2017, 37 (1) : 229256. doi: 10.3934/dcds.2017009 
[7] 
Mitsuru Shibayama. Nonintegrability of the collinear threebody problem. Discrete & Continuous Dynamical Systems  A, 2011, 30 (1) : 299312. doi: 10.3934/dcds.2011.30.299 
[8] 
Richard Moeckel. A proof of Saari's conjecture for the threebody problem in $\R^d$. Discrete & Continuous Dynamical Systems  S, 2008, 1 (4) : 631646. doi: 10.3934/dcdss.2008.1.631 
[9] 
Hiroshi Ozaki, Hiroshi Fukuda, Toshiaki Fujiwara. Determination of motion from orbit in the threebody problem. Conference Publications, 2011, 2011 (Special) : 11581166. doi: 10.3934/proc.2011.2011.1158 
[10] 
KuoChang Chen. On ChencinerMontgomery's orbit in the threebody problem. Discrete & Continuous Dynamical Systems  A, 2001, 7 (1) : 8590. doi: 10.3934/dcds.2001.7.85 
[11] 
Richard Moeckel. A topological existence proof for the Schubart orbits in the collinear threebody problem. Discrete & Continuous Dynamical Systems  B, 2008, 10 (2/3, September) : 609620. doi: 10.3934/dcdsb.2008.10.609 
[12] 
Abimael Bengochea, Manuel Falconi, Ernesto PérezChavela. Horseshoe periodic orbits with one symmetry in the general planar threebody problem. Discrete & Continuous Dynamical Systems  A, 2013, 33 (3) : 9871008. doi: 10.3934/dcds.2013.33.987 
[13] 
Samuel R. Kaplan, Mark Levi, Richard Montgomery. Making the moon reverse its orbit, or, stuttering in the planar threebody problem. Discrete & Continuous Dynamical Systems  B, 2008, 10 (2/3, September) : 569595. doi: 10.3934/dcdsb.2008.10.569 
[14] 
Regina Martínez, Carles Simó. On the stability of the Lagrangian homographic solutions in a curved threebody problem on $\mathbb{S}^2$. Discrete & Continuous Dynamical Systems  A, 2013, 33 (3) : 11571175. doi: 10.3934/dcds.2013.33.1157 
[15] 
Xiaojun Chang, Tiancheng Ouyang, Duokui Yan. Linear stability of the crisscross orbit in the equalmass threebody problem. Discrete & Continuous Dynamical Systems  A, 2016, 36 (11) : 59715991. doi: 10.3934/dcds.2016062 
[16] 
Rongchang Liu, Jiangyuan Li, Duokui Yan. New periodic orbits in the planar equalmass threebody problem. Discrete & Continuous Dynamical Systems  A, 2018, 38 (4) : 21872206. doi: 10.3934/dcds.2018090 
[17] 
Tiancheng Ouyang, Duokui Yan. Variational properties and linear stabilities of spatial isosceles orbits in the equalmass threebody problem. Discrete & Continuous Dynamical Systems  A, 2017, 37 (7) : 39894018. doi: 10.3934/dcds.2017169 
[18] 
Qunyao Yin, Shiqing Zhang. New periodic solutions for the circular restricted 3body and 4body problems. Communications on Pure & Applied Analysis, 2010, 9 (1) : 249260. doi: 10.3934/cpaa.2010.9.249 
[19] 
Sie Long Kek, Kok Lay Teo, Mohd Ismail Abd Aziz. Filtering solution of nonlinear stochastic optimal control problem in discretetime with modelreality differences. Numerical Algebra, Control & Optimization, 2012, 2 (1) : 207222. doi: 10.3934/naco.2012.2.207 
[20] 
V.N. Malozemov, A.V. Omelchenko. On a discrete optimal control problem with an explicit solution. Journal of Industrial & Management Optimization, 2006, 2 (1) : 5562. doi: 10.3934/jimo.2006.2.55 
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