Edit Profile Falcolini, Corrado Compute Distance To: Compute Author ID: falcolini.corrado Published as: Falcolini, C.; Falcolini, Corrado External Links: ORCID Documents Indexed: 25 Publications since 1987 all top 5 Co-Authors 3 single-authored 11 Celletti, Alessandra 5 Chierchia, Luigi 4 Tedeschini-Lalli, Laura 3 de la Llave, Rafael 2 Porzio, Anna 1 Andreu, Miquel Angel 1 Arnone, Stefano 1 Berretti, Alberto 1 Calleja, Renato C. 1 Conti, Roberto 1 Contucci, Pierluigi 1 Locatelli, Ugo 1 Moauro, Francesco 1 Siccardi, Matteo all top 5 Serials 4 Journal of Statistical Physics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Celestial Mechanics and Dynamical Astronomy 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Rendiconti del Seminario Matematico 1 Physica D 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Experimental Mathematics 1 Chaos 1 Regular and Chaotic Dynamics 1 Journal of Computational Dynamics all top 5 Fields 19 Dynamical systems and ergodic theory (37-XX) 12 Mechanics of particles and systems (70-XX) 4 Ordinary differential equations (34-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 16 Publications have been cited 90 times in 70 Documents Cited by ▼ Year ▼ A rigorous partial justification of Green’s criterion. Zbl 0892.58045Falcolini, Corrado; de la Llave, R. 22 1992 Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors. Zbl 0892.58066Falcolini, Corrado; de la Llave, R. 12 1992 Natural boundaries for area-preserving twist maps. Zbl 0892.58062Berretti, A.; Celletti, A.; Chierchia, L.; Falcolini, C. 11 1992 A direct proof of a theorem by Kolmogorov in Hamiltonian systems. Zbl 0836.34040Chierchia, L.; Falcolini, C. 8 1994 On the break-down threshold of invariant tori in four-dimensional maps. Zbl 1102.70011Celletti, Alessandra; Falcolini, Corrado; Locatelli, U. 6 2004 Compensations in small divisor problems. Zbl 0847.58026Chierchia, L.; Falcolini, C. 6 1996 Rigorous numerical stability estimates for the existence of KAM tori in a forced pendulum. Zbl 0636.70017Celletti, Alessandra; Falcolini, Corrado; Porzio, Anna 6 1987 Hénon map: simple sinks gaining coexistence as \(b \to 1\). Zbl 1277.37072Falcolini, Corrado; Tedeschini-Lalli, Laura 3 2013 Singularities of periodic orbits near invariant curves. Zbl 1019.37011Celletti, Alessandra; Falcolini, Corrado 3 2002 Construction of invariant tori for the spin-orbit problem in the Mercury-Sun system. Zbl 0850.70124Celletti, Alessandra; Falcolini, Corrado 3 1992 An extension of Greene’s criterion for conformally symplectic systems and a partial justification. Zbl 1341.37031Calleja, Renato C.; Celletti, Alessandra; Falcolini, Corrado; de la Llave, Rafael 2 2014 A note on quasi-periodic solutions of some elliptic systems. Zbl 0860.35027Chierchia, L.; Falcolini, C. 2 1996 A remark on the KAM theorem applied to a four-vortex system. Zbl 1082.37509Celletti, Alessandra; Falcolini, Corrado 2 1988 Rigorous KAM stability statements for non autonomous one-dimensional Hamiltonian systems. Zbl 0682.70019Celletti, A.; Falcolini, C.; Porzio, A. 2 1987 On numbers in different bases: symmetries and a conjecture. Zbl 1429.11017Arnone, Stefano; Falcolini, Corrado; Moauro, Francesco; Siccardi, Matteo 1 2017 Polynomial invariants for trees. A statistical mechanics approach. Zbl 0894.05011Conti, Roberto; Contucci, Pierluigi; Falcolini, Corrado 1 1998 On numbers in different bases: symmetries and a conjecture. Zbl 1429.11017Arnone, Stefano; Falcolini, Corrado; Moauro, Francesco; Siccardi, Matteo 1 2017 An extension of Greene’s criterion for conformally symplectic systems and a partial justification. Zbl 1341.37031Calleja, Renato C.; Celletti, Alessandra; Falcolini, Corrado; de la Llave, Rafael 2 2014 Hénon map: simple sinks gaining coexistence as \(b \to 1\). Zbl 1277.37072Falcolini, Corrado; Tedeschini-Lalli, Laura 3 2013 On the break-down threshold of invariant tori in four-dimensional maps. Zbl 1102.70011Celletti, Alessandra; Falcolini, Corrado; Locatelli, U. 6 2004 Singularities of periodic orbits near invariant curves. Zbl 1019.37011Celletti, Alessandra; Falcolini, Corrado 3 2002 Polynomial invariants for trees. A statistical mechanics approach. Zbl 0894.05011Conti, Roberto; Contucci, Pierluigi; Falcolini, Corrado 1 1998 Compensations in small divisor problems. Zbl 0847.58026Chierchia, L.; Falcolini, C. 6 1996 A note on quasi-periodic solutions of some elliptic systems. Zbl 0860.35027Chierchia, L.; Falcolini, C. 2 1996 A direct proof of a theorem by Kolmogorov in Hamiltonian systems. Zbl 0836.34040Chierchia, L.; Falcolini, C. 8 1994 A rigorous partial justification of Green’s criterion. Zbl 0892.58045Falcolini, Corrado; de la Llave, R. 22 1992 Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors. Zbl 0892.58066Falcolini, Corrado; de la Llave, R. 12 1992 Natural boundaries for area-preserving twist maps. Zbl 0892.58062Berretti, A.; Celletti, A.; Chierchia, L.; Falcolini, C. 11 1992 Construction of invariant tori for the spin-orbit problem in the Mercury-Sun system. Zbl 0850.70124Celletti, Alessandra; Falcolini, Corrado 3 1992 A remark on the KAM theorem applied to a four-vortex system. Zbl 1082.37509Celletti, Alessandra; Falcolini, Corrado 2 1988 Rigorous numerical stability estimates for the existence of KAM tori in a forced pendulum. Zbl 0636.70017Celletti, Alessandra; Falcolini, Corrado; Porzio, Anna 6 1987 Rigorous KAM stability statements for non autonomous one-dimensional Hamiltonian systems. Zbl 0682.70019Celletti, A.; Falcolini, C.; Porzio, A. 2 1987 all cited Publications top 5 cited Publications all top 5 Cited by 82 Authors 13 Celletti, Alessandra 12 de la Llave, Rafael 11 Falcolini, Corrado 5 Calleja, Renato C. 5 Chierchia, Luigi 5 Tompaidis, Stathis 4 Gentile, Guido 4 Giorgilli, Antonio 3 Haro, Àlex 3 Locatelli, Ugo 3 Meiss, James D. 2 de Simone, Emiliano 2 Fortunati, Alessandro 2 Mastropietro, Vieri 2 Morrison, Philipp J. 2 Sansottera, Marco 2 Tedeschini-Lalli, Laura 2 Wiggins, Stephen 1 Abdulack, S. A. 1 Abud, C. V. 1 Andreu, Miquel Angel 1 Apte, Amit 1 Arnaud, Marie-Claude 1 Baesens, Claude 1 Balan, Radu V. 1 Beims, Marcus W. 1 Belyaev, Aleksandr Vladimirovich 1 Berretti, Alberto 1 Blackmore, Denis L. 1 Blass, Timothy 1 Boatto, Stefanella 1 Bonetto, Federico 1 Burgos-García, Jaime 1 Bustamante, Adrián P. 1 Caldas, Iberê L. 1 Cazeaux, Paul 1 Chandre, Cristel 1 Cozzi, Matteo 1 Delshams, Amadeu 1 Dipierro, Serena 1 Figueras, Jordi-Lluís 1 Franca, Matteo 1 Froeschlé, Claude 1 Gallavotti, Giovanni M. 1 Gidea, Marian 1 Guzzo, Massimiliano 1 Hanßmann, Heinz 1 Ichtiaroglou, Simos 1 Incitti, Federico 1 James, J. D. Mireles 1 Jauslin, Hans-Rudolf 1 Johnson, Russell Allan 1 Jousseph, C. A. C. 1 Knio, Omar M. 1 Koch, Hans-Friedrich 1 Kupiainen, Antti 1 Laskar, Jacques 1 Lega, Elena 1 Lessard, Jean-Philippe 1 Luque, Alejandro 1 Luskin, Mitchell 1 MacKay, Robert Sinclair 1 Manchein, Cesar 1 Marmi, Stefano 1 Meletlidou, Efi 1 Mireles-James, Jason D. 1 Morbidelli, Alessandro 1 Muñoz-Villarragut, Víctor 1 Porzio, Anna 1 Procesi, Michela 1 Reinhardt, Christian 1 M-Seara, Tere 1 Tadmor, Ellad B. 1 Ting, Lu 1 Ugarcovici, Ilie 1 Valdinoci, Enrico 1 van den Berg, Jan Bouwe 1 van Erp, Titus S. 1 Weiss, Howard 1 Wodnar, Karl 1 Wurm, Alexander 1 Zahri, Mostafa all top 5 Cited in 36 Serials 9 Physica D 8 Chaos 6 Journal of Statistical Physics 5 Celestial Mechanics and Dynamical Astronomy 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Differential Equations 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Experimental Mathematics 2 Regular and Chaotic Dynamics 1 Nonlinearity 1 Physics Reports 1 Reviews of Modern Physics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 European Journal of Combinatorics 1 Ergodic Theory and Dynamical Systems 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Physical Review Letters 1 Foundations of Computational Mathematics 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Journal of Biological Dynamics 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S 1 Symmetry 1 Journal of Computational Dynamics all top 5 Cited in 17 Fields 56 Dynamical systems and ergodic theory (37-XX) 28 Mechanics of particles and systems (70-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 3 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) Citations by Year