Antonio Giorgilli

6.9k citations
92 papers · 4.5k indexed · 2 hit papers · h-index 29
Topics
Quantum chaos and dynamical systems (75 papers)Numerical methods for differential equations (16 papers)Mathematical Dynamics and Fractals (15 papers)
Partner nations
ItalyFranceBelgium

In The Last Decade

Antonio Giorgilli

89 papers receiving 4.2k citations

Hit Papers

Lyapunov Characteristic Exponents for smooth dynamical sy...1980202619952010198019804008001.2k

Peers

Antonio Giorgilli
Comparison fields: 5 of 111
  • Statistical and Nonlinear Physics 3.4k
  • Computer Networks and Communications 1.2k
  • Astronomy and Astrophysics 679
  • Atomic and Molecular Physics, and Optics 651
  • Mathematical Physics 469
Replace Giancarlo Benettin with:
Giancarlo Benettin Italy
L. Galgani Italy
G. M. Zaslavsky United States
M. Hénon France
George M. Zaslavsky United States
James D. Meiss United States
N. N. Bogolyubov Ukraine
Jean-Marie Strelcyn France
V. I. Arnold Russia
J. C. Eilbeck United Kingdom
Antonio Giorgilli relative to Giancarlo Benettin Italy Giancarlo Benettin's profile →
Citations per field
00.5×1.5×
Giancarlo Benettin · 1×
Citations per year

Countries citing papers authored by Antonio Giorgilli

Since Specialization
Citations

This map shows the geographic impact of Antonio Giorgilli's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Antonio Giorgilli with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Antonio Giorgilli more than expected).

Fields of papers citing papers by Antonio Giorgilli

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Antonio Giorgilli. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Antonio Giorgilli. The network helps show where Antonio Giorgilli may publish in the future.

Co-authorship network of co-authors of Antonio Giorgilli

This figure shows the co-authorship network connecting the top 25 collaborators of Antonio Giorgilli. A scholar is included among the top collaborators of Antonio Giorgilli based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Antonio Giorgilli. Antonio Giorgilli is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
#WorkIndexed citations
1 6
2 4
3 3
4 20
5 27
6
Notes on exponential stability of Hamiltonian systems
30
7 23
8 15
9 157
10 12
11 124
12
Rigorous results on the power expansions for the integrals of a Hamiltonian system near an elliptic equilibrium point
30
13 45
14 23
15
Poincaré's non-existence theorem and classical perturbation theory for nearly integrable hamiltonian systems
1
16 71
17
Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical applicationbreakdown →
728
18 52
19
All Lyapunov characteristic numbers are effectively computable.
8
20 54

About Antonio Giorgilli

Antonio Giorgilli is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Mathematical Physics, having authored 92 papers that have together received 4.5k indexed citations. Recurring topics across this work include Quantum chaos and dynamical systems (75 papers), Numerical methods for differential equations (16 papers) and Mathematical Dynamics and Fractals (15 papers). The work is most often cited by research in Statistical and Nonlinear Physics (3.4k citations), Numerical Analysis (443 citations) and Mathematical Physics (469 citations). Antonio Giorgilli has collaborated with scholars based in Italy, France and Belgium. Frequent co-authors include L. Galgani, Giancarlo Benettin, Jean-Marie Strelcyn, Alessandro Morbidelli, Ugo Locatelli, G. Contopoulos, Alessandra Celletti, Carles Simó, Amadeu Delshams and Ernest Fontich. Their work appears in journals such as Nature, Computer Physics Communications and Communications in Mathematical Physics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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