Flaviano Battelli

756 total citations
63 papers, 541 citations indexed

About

Flaviano Battelli is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Numerical Analysis. According to data from OpenAlex, Flaviano Battelli has authored 63 papers receiving a total of 541 indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Geometry and Topology, 36 papers in Statistical and Nonlinear Physics and 21 papers in Numerical Analysis. Recurrent topics in Flaviano Battelli's work include Advanced Differential Equations and Dynamical Systems (41 papers), Quantum chaos and dynamical systems (34 papers) and Differential Equations and Numerical Methods (15 papers). Flaviano Battelli is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (41 papers), Quantum chaos and dynamical systems (34 papers) and Differential Equations and Numerical Methods (15 papers). Flaviano Battelli collaborates with scholars based in Italy, Slovakia and Taiwan. Flaviano Battelli's co-authors include Mičhal Fĕckan, Claudio De Lazzari, Ken Palmer, Kenneth J. Palmer, Russell Johnson, Matteo Franca, Josef Diblı́k, Michal Pospíšil, H. Susanto and JinRong Wang and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Physica D Nonlinear Phenomena.

In The Last Decade

Flaviano Battelli

57 papers receiving 491 citations

Peers

Flaviano Battelli

SNP

CNC

Paulo Ricardo da Silva Brazil

Jorge Ize Mexico

Weiguo Rui China

В. А. Плисс Russia

Dingbian Qian China

E. Gamero Spain

E. Yu. Romanenko Ukraine

Jarosław Kwapisz United States

Luděk Nechvátal Czechia

С. А. Кащенко Russia

Paulo Ricardo da Silva Brazil

Flaviano Battelli

347 ×0.9

SNP

346 ×1.1

132 ×1.0

CNC

44 ×0.4

46 ×0.5

Citations per year, relative to Flaviano Battelli Flaviano Battelli (= 1×) peers Paulo Ricardo da Silva

Countries citing papers authored by Flaviano Battelli

Since Specialization

Citations

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

Fields of papers citing papers by Flaviano Battelli

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Flaviano Battelli

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

Battelli, Flaviano, Mičhal Fĕckan, & JinRong Wang. (2024). Heteroclinic solutions in singularly perturbed discontinuous differential equations. Journal of Differential Equations. 400. 314–375. 1 indexed citations

Battelli, Flaviano & Mičhal Fĕckan. (2022). Periodic Solutions in Slowly Varying Discontinuous Differential Equations: A Non-Generic Case. Journal of Dynamics and Differential Equations. 36(1). 463–496. 2 indexed citations

Battelli, Flaviano & Mičhal Fĕckan. (2019). On the Poincaré-Adronov-Melnikov method for the existence of grazing impact periodic solutions of differential equations. Journal of Differential Equations. 268(7). 3725–3748. 14 indexed citations

Battelli, Flaviano & Kenneth J. Palmer. (2015). Criteria for exponential dichotomy for triangular systems. Journal of Mathematical Analysis and Applications. 428(1). 525–543. 14 indexed citations

Battelli, Flaviano & Mičhal Fĕckan. (2014). Melnikov theory for weakly coupled nonlinear RLC circuits. Boundary Value Problems. 2014(1). 2 indexed citations

Battelli, Flaviano & Mičhal Fĕckan. (2014). Nonlinear RLC Circuits and Implicit ODEs. Differential and Integral Equations. 27(7/8). 6 indexed citations

Battelli, Flaviano & Mičhal Fĕckan. (2013). Melnikov theory for nonlinear implicit ODEs. Journal of Differential Equations. 256(3). 1157–1190. 7 indexed citations

Battelli, Flaviano & Mičhal Fĕckan. (2012). Chaos in forced impact systems. Discrete and Continuous Dynamical Systems - S. 6(4). 861–890. 11 indexed citations

Battelli, Flaviano & Kenneth J. Palmer. (2011). Smoothness of Asymptotic Phase Revisited. Advanced Nonlinear Studies. 11(4). 837–851. 2 indexed citations

10.

Battelli, Flaviano & Mičhal Fĕckan. (2009). Bifurcation and chaos near sliding homoclinics. Journal of Differential Equations. 248(9). 2227–2262. 50 indexed citations

11.

Battelli, Flaviano & Mičhal Fĕckan. (2005). Periodic Solutions of Symmetric Elliptic Singular Systems. Advanced Nonlinear Studies. 5(2). 163–196.

12.

Battelli, Flaviano & Mičhal Fĕckan. (2004). Chaos in the beam equation. Journal of Differential Equations. 209(1). 172–227. 4 indexed citations

13.

Battelli, Flaviano & Mičhal Fĕckan. (2002). Some Remarks on the Melnikov Function. SHILAP Revista de lepidopterología. 11 indexed citations

14.

Battelli, Flaviano & Kenneth J. Palmer. (2001). Transverse Intersection of Invariant Manifolds in Singular Systems. Journal of Differential Equations. 177(1). 77–120. 5 indexed citations

15.

Battelli, Flaviano & Claudio De Lazzari. (1998). Discrete Dichotomies and Bifurcations from Critical Homoclinic Orbits. Journal of Mathematical Analysis and Applications. 219(2). 200–228. 1 indexed citations

16.

Battelli, Flaviano & Mičhal Fĕckan. (1996). Subharmonic Solutions in Singular Systems. Journal of Differential Equations. 132(1). 21–45. 13 indexed citations

17.

Battelli, Flaviano & Claudio De Lazzari. (1993). Heteroclinic Orbits in Systems with Slowly Varying Coefficients. Journal of Differential Equations. 105(1). 1–29. 5 indexed citations

18.

Battelli, Flaviano & Ken Palmer. (1993). Chaos in the Duffing Equation. Journal of Differential Equations. 101(2). 276–301. 43 indexed citations

19.

Battelli, Flaviano & Kenneth J. Palmer. (1992). Tangencies between stable and unstable manifolds. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 121(1-2). 73–90. 4 indexed citations

20.

Battelli, Flaviano & Claudio De Lazzari. (1990). Exponential dichotomies, heteroclinic orbits, and Melnikov functions. Journal of Differential Equations. 86(2). 342–366. 47 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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