Douglas S. Shafer

834 total citations
40 papers, 602 citations indexed

About

Douglas S. Shafer is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Computational Theory and Mathematics. According to data from OpenAlex, Douglas S. Shafer has authored 40 papers receiving a total of 602 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Geometry and Topology, 20 papers in Statistical and Nonlinear Physics and 9 papers in Computational Theory and Mathematics. Recurrent topics in Douglas S. Shafer's work include Advanced Differential Equations and Dynamical Systems (34 papers), Quantum chaos and dynamical systems (17 papers) and Polynomial and algebraic computation (8 papers). Douglas S. Shafer is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (34 papers), Quantum chaos and dynamical systems (17 papers) and Polynomial and algebraic computation (8 papers). Douglas S. Shafer collaborates with scholars based in United States, Slovenia and Spain. Douglas S. Shafer's co-authors include Valery G. Romanovski, Adam Mahdi, Isaac A. García, Carmen Chicone, Franz Rothe, V. F. Edneral, Viktor Levandovskyy, Jaume Giné, Xingwu Chen and David Hill and has published in prestigious journals such as Physics Letters A, Journal of Mathematical Analysis and Applications and SIAM Review.

In The Last Decade

Douglas S. Shafer

38 papers receiving 536 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Douglas S. Shafer United States 14 521 350 102 95 54 40 602
Anna Cima Spain 17 770 1.5× 536 1.5× 63 0.6× 129 1.4× 51 0.9× 65 893
Dana Schlomiuk Canada 19 873 1.7× 525 1.5× 270 2.6× 64 0.7× 49 0.9× 54 969
R. Prohens Spain 14 467 0.9× 330 0.9× 23 0.2× 83 0.9× 79 1.5× 38 545
J.M. Pearson United Kingdom 15 384 0.7× 273 0.8× 91 0.9× 67 0.7× 18 0.3× 18 470
Joan Torregrosa Spain 20 1.1k 2.1× 578 1.7× 64 0.6× 275 2.9× 67 1.2× 81 1.2k
Joan C. Artés Spain 13 481 0.9× 272 0.8× 134 1.3× 42 0.4× 14 0.3× 41 504
Francesc Mañosas Spain 17 866 1.7× 617 1.8× 87 0.9× 114 1.2× 39 0.7× 72 981
Jordi Villadelprat Spain 14 565 1.1× 425 1.2× 34 0.3× 87 0.9× 21 0.4× 45 635
Isaac A. García Spain 15 650 1.2× 511 1.5× 89 0.9× 63 0.7× 24 0.4× 73 685
Claudio A. Buzzi Brazil 12 418 0.8× 255 0.7× 12 0.1× 74 0.8× 52 1.0× 47 484

Countries citing papers authored by Douglas S. Shafer

Since Specialization
Citations

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

Fields of papers citing papers by Douglas S. Shafer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Douglas S. Shafer. 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 Douglas S. Shafer. The network helps show where Douglas S. Shafer may publish in the future.

Co-authorship network of co-authors of Douglas S. Shafer

This figure shows the co-authorship network connecting the top 25 collaborators of Douglas S. Shafer. A scholar is included among the top collaborators of Douglas S. Shafer 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 Douglas S. Shafer. Douglas S. Shafer 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
1.
Romanovski, Valery G. & Douglas S. Shafer. (2019). Centers and limit cycles in polynomial systems of ordinary differential equations. Advanced studies in pure mathematics. 267–373. 4 indexed citations
2.
García, Isaac A., et al.. (2019). Center cyclicity of Lorenz, Chen and Lü systems. Nonlinear Analysis. 188. 362–376. 11 indexed citations
3.
García, Isaac A., et al.. (2018). Cyclicity of polynomial nondegenerate centers on center manifolds. Journal of Differential Equations. 265(11). 5767–5808. 12 indexed citations
4.
Hill, David & Douglas S. Shafer. (2018). Asymptotics and stability of the delayed Duffing equation. Journal of Differential Equations. 265(1). 33–68. 8 indexed citations
5.
Romanovski, Valery G. & Douglas S. Shafer. (2017). Computation of focus quantities of three-dimensional polynomial systems. University of Maribor digital library (University of Maribor). 3 indexed citations
6.
Romanovski, Valery G. & Douglas S. Shafer. (2015). Complete integrability and time-reversibility of some 3-dim systems. Applied Mathematics Letters. 51. 27–33.
7.
Levandovskyy, Viktor, et al.. (2015). Bifurcation of critical periods of polynomial systems. Journal of Differential Equations. 259(8). 3825–3853. 14 indexed citations
8.
Shafer, Douglas S.. (2011). Symbolic computation and the cyclicity problem for singularities. Journal of Symbolic Computation. 47(10). 1140–1153. 5 indexed citations
9.
Edneral, V. F., Adam Mahdi, Valery G. Romanovski, & Douglas S. Shafer. (2011). The center problem on a center manifold in. Nonlinear Analysis. 75(4). 2614–2622. 43 indexed citations
10.
Shafer, Douglas S. & Valery G. Romanovski. (2009). The Center and Cyclicity Problems. Birkhäuser Boston eBooks. 30 indexed citations
11.
Romanovski, Valery G. & Douglas S. Shafer. (2009). The Center and Cyclicity Problems: A Computational Algebra Approach. Medical Entomology and Zoology. 196 indexed citations
12.
Romanovski, Valery G., et al.. (2008). 1:−3 resonant centers on C2 with homogeneous cubic nonlinearities. Computers & Mathematics with Applications. 56(8). 1927–1940. 17 indexed citations
13.
García, Isaac A. & Douglas S. Shafer. (2005). Integral invariants and limit sets of planar vector fields. Journal of Differential Equations. 217(2). 363–376. 16 indexed citations
14.
Shafer, Douglas S., et al.. (1996). A Numerical Approach to Bifurcations from Quadratic Centers. Journal of Mathematical Analysis and Applications. 202(1). 90–107. 1 indexed citations
15.
Shafer, Douglas S., et al.. (1995). Bifurcation of Limit Cycles from Quadratic Centers. Journal of Differential Equations. 122(1). 48–70. 23 indexed citations
16.
Rothe, Franz & Douglas S. Shafer. (1992). Multiple bifurcation in a predator–prey system with nonmonotonic predator response. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 120(3-4). 313–347. 29 indexed citations
17.
Shafer, Douglas S., et al.. (1986). Topological conjugacy of singularities of vector fields. Topology. 25(4). 521–539. 2 indexed citations
18.
Shafer, Douglas S.. (1983). Singularities of gradient vectorfields in R3. Journal of Differential Equations. 47(3). 317–326. 5 indexed citations
19.
Chicone, Carmen & Douglas S. Shafer. (1982). Quadratic Morse-Smale vector fields which are not structurally stable. Proceedings of the American Mathematical Society. 85(1). 125–134. 2 indexed citations
20.
Shafer, Douglas S.. (1980). Topological equivalence of gradient vectorfields. Transactions of the American Mathematical Society. 258(1). 113–126. 2 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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