Alessandra Celletti

Alessandra Celletti 's AcademicInfluence.com Rankings

Alessandra Celletti

Mathematics

#7061

World Rank

#9672

Historical Rank

Measure Theory

#3162

World Rank

#3747

Historical Rank

mathematics Degrees

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Mathematics

Why Is Alessandra Celletti Influential?

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According to Wikipedia, Alessandra Celletti is an Italian mathematician. She earned a master's degree in mathematics in 1984 at the University of Rome La Sapienza, and a PhD in 1989 at the Swiss Federal Institute of Technology in Zurich under the supervision of Jürgen Moser and Jörg Waldvogel. Her research activity concerns dynamical systems, Kolmogorov–Arnold–Moser theory, and celestial mechanics.

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Alessandra Celletti 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping (1992) (322)
Stability and chaos in celestial mechanics (2010) (114)
KAM stability and celestial mechanics (2007) (104)
Analysis of resonances in the spin-orbit problem in Celestial Mechanics: The synchronous resonance (Part I) (1990) (99)
A KAM theory for conformally symplectic systems: Efficient algorithms and their validation (2013) (95)
On the stability of the lagrangian points in the spatial restricted problem of three bodies (1991) (94)
Construction of analytic KAM surfaces and effective stability bounds (1988) (88)
On the Stability of Realistic Three-Body Problems (1997) (72)
Quasi-Periodic Attractors in Celestial Mechanics (2009) (70)
A Constructive Theory of Lagrangian Tori and Computer-assisted Applications (1995) (56)
A “Spring–mass” model of tethered satellite systems: properties of planar periodic motions (2010) (45)
Some properties of the dumbbell satellite attitude dynamics (2008) (45)
Measures of basins of attraction in spin-orbit dynamics (2008) (42)
Lissajous and Halo Orbits in the Restricted Three-Body Problem (2015) (40)
Breakdown of invariant attractors for the dissipative standard map. (2010) (40)
Some results on the global dynamics of the regularized restricted three-body problem with dissipation (2011) (39)
Natural boundaries for area-preserving twist maps (1992) (39)
Rigorous estimates for a computer‐assisted KAM theory (1987) (39)
On the Dynamics of Space Debris: 1:1 and 2:1 Resonances (2014) (37)
Non-integrability of the problem of motion around an oblate planet (1995) (37)
Improved estimates on the existence of invariant tori for Hamiltonian systems (2000) (36)
The effect of Poynting–Robertson drag on the triangular Lagrangian points (2014) (35)
Analysis of resonances in the spin-orbit problem in Celestial Mechanics: Higher order resonances and some numerical experiments (Part II) (1990) (34)
Analytical development of the lunisolar disturbing function and the critical inclination secular resonance (2015) (33)
KAM tori for N-body problems: a brief history (2006) (32)
KAM Stability for a three-body problem of the Solar system (2005) (31)
Local Behavior Near Quasi-Periodic Solutions of Conformally Symplectic Systems (2013) (26)
Construction of librational invariant tori in the spin-orbit problem (1994) (26)
Low-dimensional chaotic attractors in the rat brain (1996) (23)
On the break-down threshold of invariant tori in four dimensional maps (2004) (22)
Analysis of resonances in the spin-orbit problem in celestial mechanics (1989) (21)
Bifurcation of Lunisolar Secular Resonances for Space Debris Orbits (2015) (21)
Hamiltonian Stability of Spin–Orbit Resonances in Celestial Mechanics (2000) (21)
Four Classical Methods for Determining Planetary Elliptic Elements: A Comparison (2005) (21)
Dependence on the observational time intervals and domain of convergence of orbital determination methods (2006) (20)
Dynamical models and the onset of chaos in space debris (2016) (20)
Determination of chaotic attractors in the rat brain (1996) (19)
Halo orbits around the collinear points of the restricted three-body problem (2015) (19)
Geostationary secular dynamics revisited: application to high area-to-mass ratio objects (2016) (19)
A Study of the Lunisolar Secular Resonance 2ω˙+Ω˙=0 (2016) (18)
Dynamics of the conservative and dissipative spin–orbit problem (2007) (18)
Construction of response functions in forced strongly dissipative systems (2013) (17)
Construction of stable periodic orbits for the Spin-Orbit problem of Celestial Mechanics (1998) (17)
Dynamics of Resonances and Equilibria of Low Earth Objects (2017) (17)
Regions of nonexistence of invariant tori for spin-orbit models. (2007) (16)
A Systematic Study of the Stability of Symmetric Periodic Orbits in the Planar, Circular, Restricted Three-Body Problem (2002) (15)
A study of the main resonances outside the geostationary ring (2015) (14)
Rigorous numerical stability estimates for the existence of KAM tori in a forced pendulum (1987) (14)
Basics of regularization theory (2006) (14)
Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems (2015) (14)
Dynamical investigation of minor resonances for space debris (2015) (14)
The Levi-Civita, KS and Radial-Inversion Regularizing Transformations (2002) (13)
Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations (2015) (13)
Approximate renormalization-group transformation for Hamiltonian systems with three degrees of freedom. (1999) (13)
On the determination of the stochasticity threshold of invariant curves (1995) (13)
Celestial Mechanics: The Waltz of the Planets (2007) (13)
(INVITED) Resonances in the Earth's space environment (2019) (12)
An Extension of Greene's Criterion for Conformally Symplectic Systems and a Partial Justification (2014) (12)
A Computer-Assisted Approach to Small-Divisors Problems Arising in Hamiltonian Mechanics (1991) (12)
Qualitative and analytical results of the bifurcation thresholds to halo orbits (2015) (12)
KAM stability estimates in Celestial Mechanics (1998) (11)
Poynting-Robertson drag and solar wind in the space debris problem (2016) (11)
Modern Celestial Mechanics: From Theory to Applications (2002) (11)
Transient times, resonances and drifts of attractors in dissipative rotational dynamics (2014) (11)
Low-dimensional chaotic attractors in the rat brain (1996) (11)
Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems (2009) (11)
Periodic and quasi--periodic orbits of the dissipative standard map (2011) (10)
Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem (2004) (10)
On the numerical optimization of KAM estimates by classical perturbation theory (1988) (10)
Chaotic dynamics in the primate motor cortex depend on motor preparation in a reaction-time task. (1998) (10)
A remark on the KAM theorem applied to a four-vortex system (1988) (9)
Singularities of periodic orbits near invariant curves (2002) (9)
KAM theory for conformally symplectic systems (2011) (9)
Birth of periodic and artificial halo orbits in the restricted three-body problem (2016) (9)
KAM quasi-periodic tori for the dissipative spin-orbit problem (2021) (8)
Construction of invariant tori for the spin-orbit problem in the mercury-sun system (1992) (8)
Deterministic Behaviour of Short Time Series (1999) (8)
Dissipative and weakly--dissipative regimes in nearly--integrable mappings (2006) (8)
Singularities, Collisions and Regularization Theory (2002) (8)
Invariant curves for area-preserving twist maps far from integrable (1991) (8)
The dynamics of the de Sitter resonance (2017) (8)
Nearly-integrable dissipative systems and celestial mechanics (2010) (8)
The dynamical stability of a Kuiper Belt-like region (2007) (7)
Normal form construction for nearly-integrable systems with dissipation (2012) (7)
Stability of Nearly-integrable Systems with dissipation (2012) (7)
On the Computation of Lyapunov exponents for discrete Time Series: Applications to Two-Dimensional symplectic and dissipative mappings (2000) (7)
Hamiltonian formulation of the spin-orbit model with time-varying non-conservative forces (2017) (6)
Weakly Dissipative Systems in Celestial Mechanics (2007) (6)
The dynamics of Laplace-like resonances. (2019) (6)
The theory of secondary resonances in the spin–orbit problem (2016) (6)
Regions of stability in rotational dynamics (2010) (6)
On rigorous stability results for low-dimensional KAM surfaces (1988) (6)
ANALYTICAL APPROXIMATION OF THE SOLUTION OF THE DISSIPATIVE STANDARD MAP (1998) (6)
Efficient and Accurate KAM Tori Construction for the Dissipative Spin–Orbit Problem Using a Map Reduction (2021) (5)
From Regular to Chaotic Motions through the Work of Kolmogorov (2003) (5)
Correlation dimension for paired discrete time series (1997) (5)
Existence of whiskered KAM tori of conformally symplectic systems (2019) (5)
Classification of regular and chaotic motions in Hamiltonian systems with deep learning (2022) (5)
Whiskered KAM tori of conformally symplectic systems (2019) (4)
Proper elements for space debris (2021) (4)
Reconnecting groups of space debris to their parent body through proper elements (2021) (4)
Cantori of the dissipative sawtooth map. (2009) (4)
Element history of the Laplace resonance: a dynamical approach (2018) (4)
Correlation Dimension for Two Experimental Time Series (1998) (4)
On the analytical development of the lunar and solar disturbing functions (2015) (4)
Kepler’s problem (2010) (3)
A Dynamical System Approach to Astrodynamics (2011) (3)
Laplace-like resonances with tidal effects (2021) (3)
Twist and non-twist regimes of the oblate planet problem (2017) (3)
KAM estimates for the dissipative standard map (2020) (3)
Some KAM applications to Celestial Mechanics (2010) (3)
DETERMINATION OF THE FREQUENCY VECTOR IN THE FOUR-DIMENSIONAL STANDARD MAPPING (1996) (3)
Chaotic dynamics in the primate motor cortex depend on behavioral context in a reaction-time task (1998) (3)
Hill Four-Body Problem with Oblate Bodies: An Application to the Sun–Jupiter–Hektor–Skamandrios System (2020) (3)
Natural Boundaries for Area-preserving Twist Maps Natural Boundaries for Area-preserving Twist Maps (1991) (2)
Quasi-periodic attractors and spin/orbit resonances (2007) (2)
Numerical investigation of the break-down threshold for a restricted three-body problem (1998) (2)
KAM theory for some dissipative systems (2020) (2)
RESTRICTED THREE-BODY PROBLEM (1996) (2)
Normal form for librational curves of the standard map (1995) (2)
Accurate computations up to break-down of quasi-periodic attractors in the dissipative spin-orbit problem (2022) (2)
Rigorous KAM stability statements for non autonomous one dimensional hamiltonian systems (1987) (2)
Accurate modelling of the low-order secondary resonances in the spin-orbit problem (2019) (2)
Editorial (2017) (1)
Stability of Satellites in Spin-Orbit Resonances and Capture Probabilities (1991) (1)
Semi-Analytical Estimates for the Orbital Stability of Earth’s Satellites (2021) (1)
Asteroid debris: Temporary capture and escape orbits (2016) (1)
Bifurcations Thresholds of Halo Orbits (2016) (1)
Computational celestial mechanics (2008) (1)
Analytical Approximation of the Dissipative Standard Map (1998) (1)
Chaotic dynamics in the primate motor cortex depend on motor preparation in a delayed-pointing task (1998) (1)
Analysis of the deterministic behaviour of experimental series (1998) (1)
KAM quasi-periodic solutions for the dissipative standard map (2021) (1)
Detection of deterministic dynamics in short discrete time series. (2000) (1)
Regions of non – existence of invariant tori for spin – orbit models WARNING : THE FIGURES (2007) (1)
On the Dynamics of Space Debris: 1:1 and 2:1 Resonances (2014) (1)
Perturbation Theory in Celestial Mechanics (2009) (1)
On the instability of the equilibrium for a Lagrangian system with gyroscopic forces (1994) (1)
Topical collection “50 years of Celestial Mechanics and Dynamical Astronomy” (2020) (1)
Stability of the synchronous spin-orbit resonance by construction of librational trapping tori (1993) (1)
Normal Form Invariants Around Spin-orbit Periodic Orbits (2000) (1)
Matrix-second order differential equations and chaotic Hamiltonian systems (1989) (1)
KAM theory and its applications: from conservative to dissipative systems (2013) (1)
Stability estimates of nearly-integrable systems with dissipation and non-resonant frequency (2012) (1)
Cosmic Visions in Celestial Mechanics (2010) (1)
Rigorous and numerical determination of rotational invariant curves for the standard map (1997) (1)
A study of the lunisolar secular resonance $2\dot{\omega}+\dot{\Omega}=0$ (2016) (1)
Low-cost travels within the Solar system (2014) (0)
Some Aspects of Conservative and Dissipative KAM Theorems (2012) (0)
Stability Problems in Celestial Mechanics (2006) (0)
Geostationary secular dynamics revisited: application to high area-to-mass ratio objects (2016) (0)
Mathematical Methods and models for Planet Earth (2013) (0)
Numerical dynamical methods (2010) (0)
Some Aspects of Conservative and Dissipative KAM Theorems (2012) (0)
Topical collection “50 years of Celestial Mechanics and Dynamical Astronomy” (2020) (0)
Sylvio Ferraz-Mello: Canonical Perturbation Theories. Degenerate Systems and Resonance (2008) (0)
Satellites’ orbital stability through normal forms (2021) (0)
Evolution and stability of Laplace-like resonances under tidal dissipation (2021) (0)
Local Behavior Near Quasi-Periodic Solutions of Conformally Symplectic Systems (2013) (0)
Nekhoroshev estimates for the orbital stability of Earth’s satellites (2021) (0)
Capture in spin–orbit resonances and weakly dissipative attractors (2007) (0)
Perturbation TheoryPerturbation theory in Celestial MechanicsCelestial mechanics (2012) (0)
Estimate of the Transition Value of Librational Invariant Curves (2002) (0)
Fe b 20 20 KAM ESTIMATES FOR THE DISSIPATIVE STANDARD MAP (2020) (0)
Analytical development of the lunisolar disturbing function and the critical inclination secular resonance (2016) (0)
Dynamical analysis of experimental time series (1997) (0)
Dynamical investigation of minor resonances for space debris (2015) (0)
Order and chaos (2010) (0)
A PARTIAL JUSTIFICATION OF GREENE ’ S CRITERION FOR CONFORMALLY SYMPLECTIC SYSTEMS (2013) (0)
Bifurcations, halo orbits and space debris (2015) (0)
Deterministic dynamics of discrete time series: a review of the basic techniques and a recent method for short time series (2001) (0)
Erratum: Correlation Dimension for Paired Discrete Time Series (1998) (0)
Second Italian meeting on celestial mechanics (1998) (0)
The Basin of Attraction of a Spin-Orbit Resonance (1993) (0)
Birth of resonances in the spin-orbit problem of Celestial Mechanics (1999) (0)
Perturbative series expansions: theoretical aspects and numerical investigations (2006) (0)
The Spin–Spin Problem in Celestial Mechanics (2021) (0)
Determination of chaotic attractors in short discrete time series (2019) (0)
F eb 2 01 2 Stability of nearly – integrable systems with dissipation (2018) (0)
E P ] 1 0 D ec 2 01 9 RESONANCES IN THE EARTH ’ S SPACE ENVIRONMENT (2019) (0)
Modern celestial mechanics : from theory to applications : proceedings of the Third Meeting on Celestical Mechanics - CELMEC III, held in Rome, Italy, 18-22 June, 2001 (2002) (0)
The true nature of the equilibrium for geostationary objects , applications to the high area-to-mass ratio debris (2016) (0)
Some stability results on nearly–integrable systems (with dissipation) (2012) (0)
Preface (2017) (0)
Editorial (2020) (0)
Determination of periodic orbits (2010) (0)
Regular and Chaotic Dynamics of Periodic and Quasi-Periodic Motions (2010) (0)
Qualitative and analytical results of the bifurcation thresholds to halo orbits (2015) (0)
The Role of Tidal Forces in the Long-term Evolution of the Galilean System (2022) (0)
Back-tracing space debris using proper elements (2021) (0)
Hill four-body problem with oblate tertiary: an application to the Sun-Jupiter-Hektor-Skamandrios system (2018) (0)
Old perturbative methods for a new problem in Celestial Mechanics: the space debris dynamics (2023) (0)
Perturbative approaches for the analysis of the spin-orbit problem (2005) (0)
Underrepresentation of Women in Editorial Boards of Scientific and EMS Journals (2020) (0)
Periodic Orbits Approximation of Analyticity Domains of Invariant Curves (2001) (0)
The dynamics of the de Sitter resonance (2018) (0)
Breakdown of tori in low and high dimensional conservative and dissipative standard maps (2022) (0)
Embedding and Correlation Dimensions for a Single Time Series (1998) (0)
Some models for the description of the attitude dynamics (2014) (0)
Perturbation Expansions Around Elliptic Fixed Points in the Spin-Orbit Problem (1995) (0)
Regular and Chaotic Motions in Dynamical Systems with Applications to Asteroid and Debris Dynamics (2016) (0)
Celestial Mechanics: from antiquity to modern times (2015) (0)
Analysis of short time series with applications to neurobiology (2002) (0)
Long-time stability (2010) (0)
Editorial (2014) (0)
The three-body problem and the Lagrangian solutions (2010) (0)
Librational Invariant Surfaces in the Spin-Orbit Problem (1994) (0)
A Report on Some New KAM Estimates (1987) (0)
Osteopontin Expression Predicts the Clinical Outcome of Laryngeal Intraepithelial Neoplasia (2007) (0)
BREAKDOWN OF LIBRATIONAL INVARIANT SURFACES (1999) (0)

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