Franco Vivaldi

2.4k total citations
71 papers, 1.6k citations indexed

About

Franco Vivaldi is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Computational Theory and Mathematics. According to data from OpenAlex, Franco Vivaldi has authored 71 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Mathematical Physics, 40 papers in Statistical and Nonlinear Physics and 18 papers in Computational Theory and Mathematics. Recurrent topics in Franco Vivaldi's work include Mathematical Dynamics and Fractals (40 papers), Quantum chaos and dynamical systems (36 papers) and Chaos control and synchronization (11 papers). Franco Vivaldi is often cited by papers focused on Mathematical Dynamics and Fractals (40 papers), Quantum chaos and dynamical systems (36 papers) and Chaos control and synchronization (11 papers). Franco Vivaldi collaborates with scholars based in United Kingdom, United States and Australia. Franco Vivaldi's co-authors include Giulio Casati, Joseph Ford, I C Percival, J. H. Lowenstein, Harvey Segur, Tassos Bountis, Italo Guarneri, John A G Roberts, William M. Visscher and D. K. Arrowsmith and has published in prestigious journals such as Physical Review Letters, Reviews of Modern Physics and Physics Today.

In The Last Decade

Franco Vivaldi

68 papers receiving 1.5k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Franco Vivaldi United Kingdom	22	1.2k	639	286	254	211	71	1.6k
John A G Roberts Australia	18	1.1k 1.0×	389 0.6×	847 3.0×	221 0.9×	79 0.4×	48	1.7k
Yves Colin de Verdìère France	24	622 0.5×	1.1k 1.7×	572 2.0×	61 0.2×	230 1.1×	73	1.8k
Oscar E. Lanford United States	17	760 0.6×	669 1.0×	145 0.5×	157 0.6×	299 1.4×	29	1.5k
Fabrice Béthuel France	19	451 0.4×	786 1.2×	339 1.2×	198 0.8×	214 1.0×	58	2.0k
John N. Mather United States	27	1.4k 1.2×	1.6k 2.4×	1.4k 4.9×	157 0.6×	88 0.4×	46	2.8k
W.‐H. Steeb Germany	19	1.1k 0.9×	118 0.2×	213 0.7×	286 1.1×	360 1.7×	184	1.7k
Rafael D. Benguria Chile	24	462 0.4×	701 1.1×	160 0.6×	175 0.7×	428 2.0×	108	2.0k
S P Novikov United States	20	747 0.6×	544 0.9×	477 1.7×	17 0.1×	446 2.1×	88	1.6k
Roberto Artuso Italy	18	1.1k 0.9×	378 0.6×	27 0.1×	299 1.2×	282 1.3×	58	1.4k
Peter D. Hislop United States	18	496 0.4×	1.1k 1.8×	73 0.3×	33 0.1×	412 2.0×	79	1.7k

Countries citing papers authored by Franco Vivaldi

Since Specialization

Citations

This map shows the geographic impact of Franco Vivaldi'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 Franco Vivaldi with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Franco Vivaldi more than expected).

Fields of papers citing papers by Franco Vivaldi

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Franco Vivaldi. 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 Franco Vivaldi. The network helps show where Franco Vivaldi may publish in the future.

Co-authorship network of co-authors of Franco Vivaldi

This figure shows the co-authorship network connecting the top 25 collaborators of Franco Vivaldi. A scholar is included among the top collaborators of Franco Vivaldi 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 Franco Vivaldi. Franco Vivaldi is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Vivaldi, Franco, et al.. (2024). Bézier curves and the Takagi function. Bulletin des Sciences Mathématiques. 199. 103543–103543.

Roberts, John A G, et al.. (2024). Critical curves of rotations. Indagationes Mathematicae. 35(5). 989–1008. 2 indexed citations

Lowenstein, J. H. & Franco Vivaldi. (2016). Renormalizable two-parameter piecewise isometries. Chaos An Interdisciplinary Journal of Nonlinear Science. 26(6). 63119–63119. 3 indexed citations

Roberts, John A G, et al.. (2011). Distribution of periodic orbits for the Casati–Prosen map on rational lattices. Physica D Nonlinear Phenomena. 241(4). 360–371. 2 indexed citations

Mitchell, Sally, et al.. (2010). Beyond templates 2: exploring students’ approaches to learning on a mathematical writing course. MSOR Connections. 10(2). 10–13. 3 indexed citations

Roberts, John A G & Franco Vivaldi. (2005). Signature of time-reversal symmetry in polynomial automorphisms over finite fields. Nonlinearity. 18(5). 2171–2192. 17 indexed citations

Roberts, John A G & Franco Vivaldi. (2003). Arithmetical Method to Detect Integrability in Maps. Physical Review Letters. 90(3). 34102–34102. 31 indexed citations

Vivaldi, Franco, et al.. (1999). Round-off errors andp-adic numbers. Nonlinearity. 13(1). 309–322. 23 indexed citations

Vivaldi, Franco, et al.. (1998). Small perturbations of a discrete twist map. French digital mathematics library (Numdam). 1 indexed citations

10.

Carretero-González, R., D. K. Arrowsmith, & Franco Vivaldi. (1997). Mode-locking in coupled map lattices. Physica D Nonlinear Phenomena. 103(1-4). 381–403. 15 indexed citations

11.

Arrowsmith, D. K., et al.. (1997). Some statistical properties of discretized quasiperiodic orbits. Nonlinearity. 10(6). 1643–1674.

12.

Vivaldi, Franco, et al.. (1995). A family of rational zeta functions for the quadratic map. Nonlinearity. 8(3). 321–332. 5 indexed citations

13.

Vivaldi, Franco. (1992). Dynamics over irreducible polynomials. Nonlinearity. 5(4). 941–960. 21 indexed citations

14.

Percival, I C & Franco Vivaldi. (1988). Critical dynamics and trees. Physica D Nonlinear Phenomena. 33(1-3). 304–313. 12 indexed citations

15.

Vivaldi, Franco. (1987). Arithmetical theory of Anosov diffeomorphisms. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 413(1844). 97–107. 8 indexed citations

16.

Percival, I C & Franco Vivaldi. (1987). A linear code for the sawtooth and cat maps. Physica D Nonlinear Phenomena. 27(3). 373–386. 36 indexed citations

17.

Casati, Giulio, Joseph Ford, Franco Vivaldi, & William M. Visscher. (1984). One-Dimensional Classical Many-Body System Having a Normal Thermal Conductivity. Physical Review Letters. 52(21). 1861–1864. 164 indexed citations

18.

Eckhardt, Bruno, Joseph Ford, & Franco Vivaldi. (1984). Analytically solvable dynamical systems which are not integrable. Physica D Nonlinear Phenomena. 13(3). 339–356. 50 indexed citations

19.

Bountis, Tassos, Harvey Segur, & Franco Vivaldi. (1982). Integrable Hamiltonian systems and the Painlevé property. Physical review. A, General physics. 25(3). 1257–1264. 178 indexed citations

20.

Vaccarone, R., et al.. (1973). Superconducting properties of Cr and Mn alloys. Solid State Communications. 12(9). 885–889. 16 indexed citations

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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