Celletti, Alessandra; Chierchia, Luigi Quasi-periodic attractors in celestial mechanics. (English) Zbl 1161.70012 Arch. Ration. Mech. Anal. 191, No. 2, 311-345 (2009). MSC: 70F15 37N05 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Arch. Ration. Mech. Anal. 191, No. 2, 311--345 (2009; Zbl 1161.70012) Full Text: DOI
Celletti, A.; Chierchia, L. Quasi-periodic attractors and spin-orbit resonances. (English) Zbl 1144.70009 Gaeta, Giuseppe (ed.) et al., Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2–9, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-616-7/hbk). 56-63 (2008). MSC: 70H08 70F15 70F05 37N05 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, in: Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2--9, 2007. Hackensack, NJ: World Scientific. 56--63 (2008; Zbl 1144.70009)
Celletti, Alessandra; Chierchia, Luigi Measures of basins of attraction in spin-orbit dynamics. (English) Zbl 1342.70035 Celest. Mech. Dyn. Astron. 101, No. 1-2, 159-170 (2008). MSC: 70F15 37N05 70K99 70M20 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Celest. Mech. Dyn. Astron. 101, No. 1--2, 159--170 (2008; Zbl 1342.70035) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi KAM stability and celestial mechanics. (English) Zbl 1129.70012 Mem. Am. Math. Soc. 878, 134 p. (2007). MSC: 70F15 70F07 70H08 70H09 37N05 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, KAM stability and celestial mechanics. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1129.70012) Full Text: DOI
Celletti, A.; Chierchia, L. KAM tori for \(n\)-body problems: a brief history. (English) Zbl 1152.70008 Celest. Mech. Dyn. Astron. 95, No. 1-4, 117-139 (2006). MSC: 70F10 37J40 37N05 70-03 70H09 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Celest. Mech. Dyn. Astron. 95, No. 1--4, 117--139 (2006; Zbl 1152.70008) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi KAM stability for a three-body problem of the Solar system. (English) Zbl 1085.70015 Z. Angew. Math. Phys. 57, No. 1, 33-41 (2006). MSC: 70H14 70F15 70F07 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Z. Angew. Math. Phys. 57, No. 1, 33--41 (2006; Zbl 1085.70015) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi Hamiltonian stability of spin-orbit resonances in celestial mechanics. (English) Zbl 0999.70013 Celest. Mech. Dyn. Astron. 76, No. 4, 229-240 (2000). Reviewer: M.-C.Anisiu (Cluj-Napoca) MSC: 70F15 70H14 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Celest. Mech. Dyn. Astron. 76, No. 4, 229--240 (2000; Zbl 0999.70013) Full Text: DOI
Celletti, A.; Chierchia, L. Construction of stable periodic orbits for the spin-orbit problem of celestial mechanics. (English) Zbl 0988.37098 Regul. Chaotic Dyn. 3, No. 3, 107-121 (1998). Reviewer: Roland Wisk (Berlin) MSC: 37N05 70F15 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Regul. Chaotic Dyn. 3, No. 3, 107--121 (1998; Zbl 0988.37098) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi On the stability of realistic three-body problems. (English) Zbl 0881.70010 Commun. Math. Phys. 186, No. 2, 413-449 (1997). MSC: 70F07 70F15 37C75 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Commun. Math. Phys. 186, No. 2, 413--449 (1997; Zbl 0881.70010) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi A constructive theory of Lagrangian tori and computer-assisted applications. (English) Zbl 0820.58051 Jones, Christopher K. R. T. (ed.) et al., Dynamics reported. Expositions in dynamical systems. New series. Vol. 4. Berlin: Springer-Verlag. 60-129 (1995). Reviewer: J.Andres (Olomouc) MSC: 37J40 70F15 34C27 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, in: Dynamics reported. Expositions in dynamical systems. New series. Vol. 4. Berlin: Springer-Verlag. 60--129 (1995; Zbl 0820.58051)
Berretti, A.; Celletti, A.; Chierchia, L.; Falcolini, C. Natural boundaries for area-preserving twist maps. (English) Zbl 0892.58062 J. Stat. Phys. 66, No. 5-6, 1613-1630 (1992). MSC: 37F99 41A21 37C75 PDF BibTeX XML Cite \textit{A. Berretti} et al., J. Stat. Phys. 66, No. 5--6, 1613--1630 (1992; Zbl 0892.58062) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi Invariant curves for area-preserving twist maps far from integrable. (English) Zbl 0943.37509 J. Stat. Phys. 65, No. 3-4, 617-643 (1991). MSC: 37J40 34C99 70H05 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, J. Stat. Phys. 65, No. 3--4, 617--643 (1991; Zbl 0943.37509) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics. (English) Zbl 0820.70004 Computer aided proofs in analysis, Proc. IMA Participating Inst. Conf., Cincinnati/OH (USA), IMA Vol. Math. Appl. 28, 43-51 (1991). MSC: 70-08 70H99 37J99 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, IMA Vol. Math. Appl. 28, 43--51 (1991; Zbl 0820.70004)
Celletti, Alessandra; Chierchia, Luigi Construction of analytic KAM-surfaces and effective stability bounds. (English) Zbl 0657.58032 Commun. Math. Phys. 118, No. 1, 119-161 (1988). Reviewer: A.Givental’ MSC: 37J40 37C55 70H15 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, Commun. Math. Phys. 118, No. 1, 119--161 (1988; Zbl 0657.58032) Full Text: DOI
Celletti, Alessandra; Chierchia, Luigi Rigorous estimates for a computer-assisted KAM theory. (English) Zbl 0651.58011 J. Math. Phys. 28, 2078-2086 (1987). Reviewer: H.Rüßmann MSC: 37J99 37C55 70H05 37J40 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{L. Chierchia}, J. Math. Phys. 28, 2078--2086 (1987; Zbl 0651.58011) Full Text: DOI