Antonio Giorgilli

Generating author description...

All published works

Action	Title	Year	Authors
+	A Quick Introduction to Symplectic Geometry	2022	Antonio Giorgilli
+	The Method of Lie Series and of Lie Trans-forms	2022	Antonio Giorgilli
+	The Normal Form of Poincaré and Birkhoff	2022	Antonio Giorgilli
+	Canonical Transformations	2022	Antonio Giorgilli
+ PDF Chat	LA LEGGE GRAVITAZIONALE DELL’INVERSO DEL QUADRATO NEI PRINCIPIA DI NEWTON	2021	Antonio Giorgilli Niccolò Guicciardini
+ PDF Chat	Giornata d'Alembert â€“ Dâ€™ALEMBERT FISICO E MATEMATICO	2020	Antonio Giorgilli
+ PDF Chat	Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories	2017	Antonio Giorgilli Ugo Locatelli Marco Sansottera
+ PDF Chat	High-order control for symplectic maps	2015	Marco Sansottera Antonio Giorgilli Timotéo Carletti
+ PDF Chat	On the relativistic Lagrange-Laplace secular dynamics for extrasolar systems	2014	Marco Sansottera Lorenzo Grassi Antonio Giorgilli
+ PDF Chat	An Extensive Adiabatic Invariant for the Klein–Gordon Model in the Thermodynamic Limit	2014	Antonio Giorgilli Simone Paleari Tiziano Penati
+ PDF Chat	Improved convergence estimates for the Schröder–Siegel problem	2014	Antonio Giorgilli Ugo Locatelli Marco Sansottera
+	A Kepler's note on secular inequalities	2014	Antonio Giorgilli
+	Normal Form and Energy Conservation of High Frequency Subsystems Without Nonresonance Conditions	2014	Dario Bambusi Antonio Giorgilli Simone Paleari Tiziano Penati
+	A Kepler's note on secular inequalities	2014	Antonio Giorgilli
+	On the convergence of an algorithm constructing the normal form for lower dimensional elliptic tori in planetary systems	2014	Antonio Giorgilli Ugo Locatelli Marco Sansottera
+	Normal Form and Energy Conservation of High Frequency Subsystems Without Nonresonance Conditions	2014	Dario Bambusi Antonio Giorgilli Simone Paleari Tiziano Penati
+ PDF Chat	NORMAL FORM AND ENERGY CONSERVATION OF HIGH FREQUENCY SUBSYSTEMS WITHOUT NONRESONANCE CONDITIONS	2013	Dario Bambusi Antonio Giorgilli Simone Paleari Tiziano Penati
+	On a theorem of Lyapounov	2013	Antonio Giorgilli
+	Methods of algebraic manipulation in perturbation theory	2013	Antonio Giorgilli Marco Sansottera
+	Su un'estensione della teoria di Lagrange per i moti secolari	2013	Antonio Giorgilli Ugo Locatelli Marco Sansottera
+	On a theorem of Lyapounov	2013	Antonio Giorgilli
+ PDF Chat	ON A THEOREM OF LYAPOUNOV	2012	Antonio Giorgilli
+ PDF Chat	ON THE REPRESENTATION OF MAPS BY LIE TRASFORMS	2012	Antonio Giorgilli
+	Representation of a 2-power as sum of k 2-powers: A recursive formula	2012	Antonio Giorgilli Giuseppe Molteni
+ PDF Chat	A Series Expansion for the Time Autocorrelation of Dynamical Variables	2012	Alberto Maiocchi A. Carati Antonio Giorgilli
+	On the representation of maps by Lie transforms	2012	Antonio Giorgilli
+ PDF Chat	A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems	2011	Marco Sansottera Ugo Locatelli Antonio Giorgilli
+ PDF Chat	On the stability of the secular evolution of the planar Sun–Jupiter–Saturn–Uranus system	2011	Marco Sansottera Ugo Locatelli Antonio Giorgilli
+	Methods of algebraic manipulation in perturbation theory	2011	Antonio Giorgilli Marco Sansottera
+	Construction of the Normal Form for Elliptic Tori in Planetary Systems. Part I: Numerical Validation of the Semi-Analytic Algorithm	2010	Marco Sansottera Ugo Locatelli Antonio Giorgilli
+	Su un'estensione della teoria di Lagrange per i moti secolari	2010	Antonio Giorgilli Ugo Locatelli M Sansotterra
+ PDF Chat	Convergence radius in the Poincaré-Siegel problem	2010	Antonio Giorgilli Stefano Marmi
+	Corso di Dottorato di Ricerca in Matematica, XXIII ciclo	2010	Antonio Giorgilli Marco Peloso
+ PDF Chat	Kolmogorov and Nekhoroshev theory for the problem of three bodies	2009	Antonio Giorgilli Ugo Locatelli Marco Sansottera
+ PDF Chat	Fermi-Pasta-Ulam phenomenon for generic initial data	2007	A. Carati L. Galgani Antonio Giorgilli Simone Paleari
+	Canonical perturbation theory for nearly integrable systems	2006	Antonio Giorgilli Ugo Locatelli
+	Exponentially stable manifolds in the neighbourhood of elliptic equilibria	2006	Antonio Giorgilli Daniele Muraro
+ PDF Chat	Nonconvergence of formal integrals: II. Improved estimates for the optimal order of truncation	2004	Christos Efthymiopoulos Antonio Giorgilli G. Contopoulos
+	Notes on exponential stability of Hamiltonian systems	2003	Antonio Giorgilli
+ PDF Chat	Unstable equilibria of Hamiltonian systems	2001	Antonio Giorgilli
+	Editor di Discrete and Continuous Dynamical Systems. Series B	2001	Antonio Giorgilli
+	Some remarks on the problem of ergodicity of the Standard Map	2000	Antonio Giorgilli V. F. Lazutkin
+ PDF Chat	Classical constructive methods in KAM theory	1998	Antonio Giorgilli
+	On the role of high order resonances in normal forms and in separatrix splitting	1997	Alessandro Morbidelli Antonio Giorgilli
+	Kolmogorov theorem and classical perturbation theory	1997	Antonio Giorgilli Ugo Locatelli
+	On classical series expansions for quasi-periodic motions	1997	Antonio Giorgilli Ugo Locatelli
+ PDF Chat	On the measure of the structure around an invariant KAM torus	1996	Claude Froeschlé Antonio Giorgilli Elena Lega Alessandro Morbidelli
+ PDF Chat	On a connection between KAM and Nekhoroshev's theorems	1995	Alessandro Morbidelli Antonio Giorgilli
+	Superexponential stability of KAM tori	1995	Alessandro Morbidelli Antonio Giorgilli
+	Methods of complex analysis in classical perturbation theory	1995	Antonio Giorgilli
+	On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms	1994	Giancarlo Benettin Antonio Giorgilli
+ PDF Chat	Quantitative perturbation theory by successive elimination of harmonics	1993	Alessandro Morbidelli Antonio Giorgilli
+	Fractal dimensions and exponentially large time scales in conservative dynamical systems	1993	Antonio Giorgilli
+	Exponential stability for time dependent potentials	1992	Antonio Giorgilli Eduard Zehnder
+	New Insights on the Stability problem from recent results in Classical Perturbation Theory	1990	Antonio Giorgilli
+	Estimates for normal forms of differential equations near an equilibrium point	1988	Antonio Giorgilli Andrea Posilicano
+ PDF Chat	A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom	1988	Giancarlo Benettin Jürg Fröhlich Antonio Giorgilli
+	Rigorous results on the power expansions for the integrals of a Hamiltonian system near an elliptic equilibrium point	1988	Antonio Giorgilli
+	Apparent fractal dimensions in conservative dynamical systems	1986	Giancarlo Benettin Danilo Casati L. Galgani Antonio Giorgilli Luisella Sironi
+	An efficient procedure to compute fractal dimensions by box counting	1986	Antonio Giorgilli Danilo Casati Luisella Sironi L. Galgani
+	Rigorous estimates for the series expansions of Hamiltonian perturbation theory	1985	Antonio Giorgilli L. Galgani
+	A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems	1985	Giancarlo Benettin L. Galgani Antonio Giorgilli
+	Poincaré's non-existence theorem and classical perturbation theory for nearly integrable hamiltonian systems	1985	Giancarlo Benettin L. Galgani Antonio Giorgilli
+	A proof of Kolmogorov’s theorem on invariant tori using canonical transformations defined by the Lie method	1984	Giancarlo Benettin L. Galgani Antonio Giorgilli Jean-Marie Strelcyn
+	Resonances and asymptotic behavior of Birkhoff series	1983	G. Servizi G. Turchetti Giancarlo Benettin Antonio Giorgilli
+	Further results on universal properties in conservative dynamical systems	1980	Giancarlo Benettin L. Galgani Antonio Giorgilli
+	Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application	1980	Giancarlo Benettin L. Galgani Antonio Giorgilli Jean-Marie Strelcyn
+	Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory	1980	Giancarlo Benettin L. Galgani Antonio Giorgilli Jean-Marie Strelcyn
+	On the reliability of numerical studies of stochasticity	1979	Giancarlo Benettin Mario Casartelli L. Galgani Antonio Giorgilli Jean-Marie Strelcyn
+	Formal integrals for an autonomous Hamiltonian system near an equilibrium point	1978	Antonio Giorgilli L. Galgani
+	Numerical computations on the constants of motion of a Hamiltonian system	1975	Mario Casartelli Giulio Casati L. Galgani Antonio Giorgilli Emily Diana A. Scotti

Common Coauthors

Coauthor	Papers Together
L. Galgani	13
Marco Sansottera	12
Ugo Locatelli	12
Giancarlo Benettin	11
Alessandro Morbidelli	5
Simone Paleari	5
Tiziano Penati	4
Jean-Marie Strelcyn	4
Dario Bambusi	3
Luisella Sironi	2
Danilo Casati	2
Mario Casartelli	2
A. Carati	2
Stefano Marmi	1
V. F. Lazutkin	1
Lorenzo Grassi	1
Claude Froeschlé	1
Eduard Zehnder	1
A. Scotti	1
Emily Diana	1
Jürg Fröhlich	1
Timotéo Carletti	1
Daniele Muraro	1
Alberto Maiocchi	1
Giuseppe Molteni	1
G. Contopoulos	1
M Sansotterra	1
Andrea Posilicano	1
Niccolò Guicciardini	1
Giulio Casati	1
Marco Peloso	1
G. Turchetti	1
Elena Lega	1
G. Servizi	1
Christos Efthymiopoulos	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Formal integrals for an autonomous Hamiltonian system near an equilibrium point	1978	Antonio Giorgilli L. Galgani	13
+	On classical series expansions for quasi-periodic motions	1997	Antonio Giorgilli Ugo Locatelli	11
+	Kolmogorov theorem and classical perturbation theory	1997	Antonio Giorgilli Ugo Locatelli	11
+	On conservation of conditionally periodic motions for a small change in Hamilton's function	1954	A N Kolmogorov	10
+	Die Lie-Reihen und ihre Anwendungen	1960	Wolfgang Gröbner	9
+	Stability of the planetary three-body problem	1995	J. Laskar Philippe Robutel	8
+ PDF Chat	Kolmogorov and Nekhoroshev theory for the problem of three bodies	2009	Antonio Giorgilli Ugo Locatelli Marco Sansottera	8
+	A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems	1985	Giancarlo Benettin L. Galgani Antonio Giorgilli	8
+ PDF Chat	On the stability of the secular evolution of the planar Sun–Jupiter–Saturn–Uranus system	2011	Marco Sansottera Ugo Locatelli Antonio Giorgilli	8
+	Rigorous results on the power expansions for the integrals of a Hamiltonian system near an elliptic equilibrium point	1988	Antonio Giorgilli	7
+	Superexponential stability of KAM tori	1995	Alessandro Morbidelli Antonio Giorgilli	7
+	A proof of Kolmogorov’s theorem on invariant tori using canonical transformations defined by the Lie method	1984	Giancarlo Benettin L. Galgani Antonio Giorgilli Jean-Marie Strelcyn	7
+ PDF Chat	On the Equilateral Configuration in the Restricted Problem of Three Bodies	1960	J. E. Littlewood	7
+	Rigorous estimates for the series expansions of Hamiltonian perturbation theory	1985	Antonio Giorgilli L. Galgani	7
+ PDF Chat	VII.—On the Adelphic Integral of the Differential Equations of Dynamics	1918	E. T. Whittaker	6
+	Oil constructing formal integrals of a Hamiltonian system near ail equilibrium point	1966	Fred G. Gustavson	5
+	Theory of general perturbations with unspecified canonical variables	1966	Gen-Ichiro Hori	5
+	On Integrals developable about a Singular Point of a Hamiltonian System of Differential Equations	1924	T. M. Cherry	5
+	A third Integral of Motion in a Galaxy	1960	G. Contopoulos	4
+	Iteration of Analytic Functions	1942	Carl Ludwig Siegel	4
+	Exponential stability for time dependent potentials	1992	Antonio Giorgilli Eduard Zehnder	4
+	Notes on exponential stability of Hamiltonian systems	2003	Antonio Giorgilli	4
+	Integrals developable about a singular point of a Hamiltonian system of differential equations. Part II	1925	T. M. Cherry	4
+	Integrability of hamiltonian systems on cantor sets	1982	Jürgen Pöschel	4
+ PDF Chat	The Origin of Chaos in the Outer Solar System	1999	Norman Murray Matthew J. Holman	4
+	On elliptic lower dimensional tori in hamiltonian systems	1989	Jürgen Pöschel	3
+ PDF Chat	On the Persistence of Lower Dimensional Invariant Tori under Quasi-Periodic Perturbations	1997	Àngel Jorba Jordi Villanueva	3
+	On the Kolmogorov Set for many body problems	2009	Gabriella Pinzari	3
+ PDF Chat	High order symplectic integrators for perturbed Hamiltonian systems	2001	J. Laskar Philippe Robutel	3
+	Numerical experiments on the free motion of a point mass moving in a plane convex region: Stochastic transition and entropy	1978	Giancarlo Benettin Jean-Marie Strelcyn	3
+ PDF Chat	Effective stability of the Trojan asteroids	2001	Ch. Skokos Aristides Dokoumetzidis	3
+	On the Equilateral Configuration in the Restricted Problem of Three Bodies	1959	J. E. Littlewood	3
+ PDF Chat	Numerical study of quadratic area-preserving mappings	1969	M. Hénon	3
+ PDF Chat	Nonconvergence of formal integrals: II. Improved estimates for the optimal order of truncation	2004	Christos Efthymiopoulos Antonio Giorgilli G. Contopoulos	3
+ PDF Chat	The Brjuno function continuously estimates the size of quadratic Siegel disks	2006	Xavier Buff Arnaud Chéritat	2
+ PDF Chat	Twistless KAM tori	1994	Giovanni Gallavotti	2
+	On optimal estimates for the solutions of linear partial differential equations of first order with constant coefficients on the torus	2008	Helmut Rüßmann	2
+	On a relation among lie series	1989	Francesco Fass�	2
+ PDF Chat	ON THE REPRESENTATION OF MAPS BY LIE TRASFORMS	2012	Antonio Giorgilli	2
+	Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory	1980	Giancarlo Benettin L. Galgani Antonio Giorgilli Jean-Marie Strelcyn	2
+	Su un'estensione della teoria di Lagrange per i moti secolari	2010	Antonio Giorgilli Ugo Locatelli M Sansotterra	2
+ PDF Chat	On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems	2013	Anne-Sophie Libert Marco Sansottera	2
+	New phenomenon in the stochastic transition of coupled oscillators	1978	M.C. Carotta C. Ferrario G. Lo Vecchio L. Galgani	2
+	On the Inclusion of Analytic Symplectic Maps in Analytic Hamiltonian Flows and Its Applications	1994	Sergei Kuksin Jürgen Pöschel	2
+	Sur un théorème de géométrie	1912	Henri Poincaré	2
+	Methods of algebraic manipulation in perturbation theory	2013	Antonio Giorgilli Marco Sansottera	2
+	Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application	1980	Giancarlo Benettin L. Galgani Antonio Giorgilli Jean-Marie Strelcyn	2
+	Dimension of Strange Attractors	1980	D. A. Russell J.D. Hanson Edward Ott	2
+	The Piranha algebraic manipulator	2009	Francesco Biscani	2
+	The primitive function of an exact symplectomorphism	2000	Àlex Haro	2