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Venturelli, Andrea

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 Author ID: venturelli.andrea Published as: Venturelli, A.; Venturelli, Andrea
 Documents Indexed: 10 Publications since 2000
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Co-Authors

 2 single-authored 3 Maderna, Ezequiel 1 Arnaud, Marie-Claude 1 Chenciner, Alain 1 Mateus, Eder 1 Moeckel, Richard 1 Montgomery, Richard 1 Terracini, Susanna 1 Vidal, Claudio
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Serials

 4 Archive for Rational Mechanics and Analysis 1 Celestial Mechanics and Dynamical Astronomy 1 Calculus of Variations and Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 Discrete and Continuous Dynamical Systems. Series B

Fields

 10 Mechanics of particles and systems (70-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX)

Citations contained in zbMATH

9 Publications have been cited 143 times in 96 Documents Cited by Year
Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: ‘Hip-hop’ orbits. Zbl 0984.70009
Chenciner, Alain; Venturelli, Andrea
2000
Symmetric trajectories for the $$2N$$-body problem with equal masses. Zbl 1111.70010
Terracini, Susanna; Venturelli, Andrea
2007
Globally minimizing parabolic motions in the Newtonian $$N$$-body problem. Zbl 1253.70015
2009
A variational characterization of the Lagrangian solutions of the three-body problem. Zbl 1034.70007
Venturelli, Andrea
2001
A variational proof of the existence of von Schubart’s orbit. Zbl 1166.70009
Venturelli, Andrea
2008
From brake to syzygy. Zbl 1286.70014
Moeckel, Richard; Montgomery, Richard; Venturelli, Andrea
2012
Viscosity solutions and hyperbolic motions: a new PDE method for the $$N$$-body problem. Zbl 07264136
2020
Quasiperiodic collision solutions in the spatial isosceles three-body problem with rotating axis of symmetry. Zbl 1282.70015
Mateus, Eder; Venturelli, Andrea; Vidal, Claudio
2013
Globally minimizing parabolic motions in the Newtonian $$N$$-body problem. Zbl 1342.70029
2008
Viscosity solutions and hyperbolic motions: a new PDE method for the $$N$$-body problem. Zbl 07264136
2020
Quasiperiodic collision solutions in the spatial isosceles three-body problem with rotating axis of symmetry. Zbl 1282.70015
Mateus, Eder; Venturelli, Andrea; Vidal, Claudio
2013
From brake to syzygy. Zbl 1286.70014
Moeckel, Richard; Montgomery, Richard; Venturelli, Andrea
2012
Globally minimizing parabolic motions in the Newtonian $$N$$-body problem. Zbl 1253.70015
2009
A variational proof of the existence of von Schubart’s orbit. Zbl 1166.70009
Venturelli, Andrea
2008
Globally minimizing parabolic motions in the Newtonian $$N$$-body problem. Zbl 1342.70029
2008
Symmetric trajectories for the $$2N$$-body problem with equal masses. Zbl 1111.70010
Terracini, Susanna; Venturelli, Andrea
2007
A variational characterization of the Lagrangian solutions of the three-body problem. Zbl 1034.70007
Venturelli, Andrea
2001
Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: ‘Hip-hop’ orbits. Zbl 0984.70009
Chenciner, Alain; Venturelli, Andrea
2000
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Cited by 93 Authors

 11 Zhang, Shiqing 9 Terracini, Susanna 8 Barutello, Vivina L. 8 Yan, Duokui 6 Maderna, Ezequiel 6 Ouyang, Tiancheng 4 Bakker, Lennard F. 4 Boscaggin, Alberto 4 Chen, Kuo-Chang 4 Dambrosio, Walter 4 Deng, Chunhua 4 Hu, Xijun 4 Simmons, Skyler C. 4 Yu, Guowei 3 Castelli, Roberto 3 Chenciner, Alain 3 García-Azpeitia, Carlos 3 Gronchi, Giovanni-Federico 3 Long, Yiming 3 Venturelli, Andrea 3 Xie, Zhifu 3 Yu, Xiang 2 Barrabés, Esther 2 Calleja, Renato C. 2 Castro Ortega, Alberto 2 Cors, Josep Maria 2 Falconi, Manuel J. 2 Féjoz, Jacques 2 Fenucci, Marco 2 Ferrario, Davide L. 2 Fusco, Giorgio 2 Li, Fengying 2 Moeckel, Richard 2 Montaldi, James A. 2 Montgomery, Richard 2 Offin, Daniel C. 2 Papini, Duccio 2 Pinyol, Conxita 2 Portaluri, Alessandro 2 Sánchez-Morgado, Héctor 2 Shibayama, Mitsuru 2 Soler, Jaume 2 Sun, Shanzhong 2 Verzini, Gianmaria 1 Baldomá, Inmaculada 1 Buono, Pietro-Luciano 1 Canneori, Gian Marco 1 Cavalcanti, Anete S. 1 Chen, Nai-Chia 1 Da Luz, Adriana 1 Davletshin, Maksim Nikolaevich 1 Doedel, Eusebius J. 1 Fontich, Ernest 1 Hampton, Marshall 1 Huang, Hsin-Yuan 1 Iturriaga, Renato 1 Jadanza, Riccardo D. 1 James, J. D. Mireles 1 Jorba, Àngel 1 Kozlov, Valeriĭ Vasil’evich 1 Kuang, Wentian 1 Lacomba, Ernesto A. 1 Lessard, Jean-Philippe 1 Li, Wei 1 Lin, Yu-Chu 1 Mancuso, Scott C. 1 Mansur, Abdalla M. 1 Martín, Pau 1 Mikkola, Seppo 1 Negrini, Piero 1 Nekhoroshev, Nikolaĭ Nikolaevich 1 Ou, Yuwei 1 Percino, Boris 1 Roberts, Gareth E. 1 Saito, Masaya Masayoshi 1 Salomone, Matthew 1 Sbano, Luca 1 Secchi, Simone 1 Soave, Nicola 1 Southall, J. 1 Steckles, Katrina 1 Tanikawa, Kiyotaka 1 Tejada-Wriedt, Manuel 1 Wang, Peng 1 Wang, Zhiqiang 1 Wu, Dong-Lun 1 Xia, Su 1 Xia, Zhihong 1 Xiang, Kaili 1 Yuan, Pengfei 1 Zhao, Xiaoxiao 1 Zhou, Qing 1 Zhou, Qinglong
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Cited in 40 Serials

 16 Archive for Rational Mechanics and Analysis 13 Celestial Mechanics and Dynamical Astronomy 6 Journal of Mathematical Analysis and Applications 5 Qualitative Theory of Dynamical Systems 4 Journal of Differential Equations 4 Discrete and Continuous Dynamical Systems 3 Nonlinearity 3 Journal of Geometry and Physics 3 Advances in Mathematics 2 Communications in Mathematical Physics 2 Transactions of the Moscow Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Physica D 2 Journal of Dynamics and Differential Equations 2 Regular and Chaotic Dynamics 2 Journal of Fixed Point Theory and Applications 2 Frontiers of Mathematics in China 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Inventiones Mathematicae 1 Proceedings of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Doklady Mathematics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Boundary Value Problems 1 Journal of Geometric Mechanics 1 Science China. Mathematics 1 Forum of Mathematics, Sigma
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Cited in 16 Fields

 92 Mechanics of particles and systems (70-XX) 35 Dynamical systems and ergodic theory (37-XX) 18 Ordinary differential equations (34-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 4 Differential geometry (53-XX) 3 Partial differential equations (35-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX)