Raffaele Vitolo

939 total citations
59 papers, 466 citations indexed

About

Raffaele Vitolo is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Raffaele Vitolo has authored 59 papers receiving a total of 466 indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Statistical and Nonlinear Physics, 20 papers in Geometry and Topology and 17 papers in Mathematical Physics. Recurrent topics in Raffaele Vitolo's work include Nonlinear Waves and Solitons (32 papers), Advanced Differential Geometry Research (12 papers) and Algebraic structures and combinatorial models (11 papers). Raffaele Vitolo is often cited by papers focused on Nonlinear Waves and Solitons (32 papers), Advanced Differential Geometry Research (12 papers) and Algebraic structures and combinatorial models (11 papers). Raffaele Vitolo collaborates with scholars based in Italy, Russia and Czechia. Raffaele Vitolo's co-authors include M. V. Pavlov, Alexander Verbovetsky, Giuseppe Saccomandi, E. V. Ferapontov, Francesco Oliveri, M. Francaviglia, Josef Janyška, Marco Modugno, Edvige Pucci and Paolo Lorenzoni and has published in prestigious journals such as Computer Physics Communications, International Journal of Solids and Structures and Journal of Mathematical Analysis and Applications.

In The Last Decade

Raffaele Vitolo

57 papers receiving 399 citations

Peers

Raffaele Vitolo

SNP

NHEP

Gerard Thompson United States

Boris Kruglikov Norway

Alexander Verbovetsky Russia

Włodzimierz M. Tulczyjew Italy

Ernesto A. Lacomba Mexico

Alexey Samokhin Russia

S. Duzhin Russia

Н. Г. Хорькова Russia

Sergio Benenti Italy

Andrew Russell Forsyth

Gerard Thompson United States

Raffaele Vitolo

233 ×0.7

SNP

160 ×1.1

82 ×0.6

164 ×1.5

59 ×0.7

NHEP

Citations per year, relative to Raffaele Vitolo Raffaele Vitolo (= 1×) peers Gerard Thompson

Countries citing papers authored by Raffaele Vitolo

Since Specialization

Citations

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

Fields of papers citing papers by Raffaele Vitolo

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Raffaele Vitolo

This figure shows the co-authorship network connecting the top 25 collaborators of Raffaele Vitolo. A scholar is included among the top collaborators of Raffaele Vitolo 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 Raffaele Vitolo. Raffaele Vitolo 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

Scaraggi, Michele, Leonardo Primavera, Gaetano Napoli, et al.. (2024). Multiscaling behavior of braided channel networks: An alternative formulation of Taylor's law variate transformations. Physical review. E. 109(3). 34306–34306. 3 indexed citations

Lorenzoni, Paolo & Raffaele Vitolo. (2024). Bi-Hamiltonian structures of KdV type, cyclic Frobenius algebrae and Monge metrics. Journal of Physics A Mathematical and Theoretical. 57(48). 485202–485202. 2 indexed citations

Nicassio, Francesco, et al.. (2023). Two Dimensional Finite Difference Model with a Singularity Attenuation Factor for Structural Health Monitoring of Single Lap Joints. Structural Control and Health Monitoring. 2023. 1–13. 2 indexed citations

Lorenzoni, Paolo, Sergey Shadrin, & Raffaele Vitolo. (2023). Miura-reciprocal transformations and localizable Poisson pencils. Nonlinearity. 37(2). 25001–25001. 3 indexed citations

Vitolo, Raffaele, et al.. (2023). Master equation model for solute transport in river basins: part I channel fluvial scale. Stochastic Environmental Research and Risk Assessment. 37(10). 3807–3817. 2 indexed citations

Vitolo, Raffaele, et al.. (2023). Projective geometry of homogeneous second-order Hamiltonian operators. Nonlinearity. 36(10). 5311–5333. 5 indexed citations

Bartolo, Samuele De, Ennio Ferrari, Gaetano Napoli, et al.. (2022). Scaling behaviour of braided active channels: a Taylor’s power law approach. The European Physical Journal Plus. 137(5). 5 indexed citations

Nicassio, Francesco, et al.. (2018). Finite difference model of wave motion for structural health monitoring of single lap joints. International Journal of Solids and Structures. 161. 219–227. 17 indexed citations

Pavlov, M. V. & Raffaele Vitolo. (2016). Remarks on the Lagrangian representation of bi-Hamiltonian equations. Journal of Geometry and Physics. 113. 239–249. 2 indexed citations

10.

Oliveri, Francesco, et al.. (2014). Ordinary differential equations described by their Lie symmetry algebra. Journal of Geometry and Physics. 85. 2–15. 8 indexed citations

11.

Ferapontov, E. V., M. V. Pavlov, & Raffaele Vitolo. (2014). Projective-geometric aspects of homogeneous third-order Hamiltonian operators. Journal of Geometry and Physics. 85. 16–28. 17 indexed citations

12.

Kolář, Ivan & Raffaele Vitolo. (2009). Absolute contact differentiation on submanifolds of Cartan spaces. Differential Geometry and its Applications. 28(1). 19–32. 3 indexed citations

13.

Pohjanpelto, Juha, et al.. (2008). Gauge invariance, charge conservation, and variational principles. Journal of Geometry and Physics. 58(8). 996–1006. 6 indexed citations

14.

Oliveri, Francesco, et al.. (2006). On differential equations characterized by their Lie point symmetries. Journal of Mathematical Analysis and Applications. 332(2). 767–786. 18 indexed citations

15.

Verbovetsky, Alexander, et al.. (2004). Variational Multivectors and Brackets in the Geometry of Jet Spaces. 113(3). 107–8. 5 indexed citations

16.

Francaviglia, M., et al.. (2004). The Hessian and Jacobi morphisms for higher order calculus of variations. Differential Geometry and its Applications. 22(1). 105–120. 6 indexed citations

17.

Vitolo, Raffaele, et al.. (2002). On the formalism of local variational differential operators. University of Twente Research Information. 8 indexed citations

18.

Vitolo, Raffaele. (1999). Quantum structures in Galilei general relativity. French digital mathematics library (Numdam). 70(3). 239–257. 14 indexed citations

19.

Vitolo, Raffaele. (1998). A new infinite order formulation of variational sequences. Archivum Mathematicum. 34(4). 483–504. 3 indexed citations

20.

Vitolo, Raffaele. (1996). Spherical symmetry in classical and quantum Galilei general relativity.. French digital mathematics library (Numdam). 64(2). 177–203. 4 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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