Robert Vandervorst

830 total citations
30 papers, 549 citations indexed

About

Robert Vandervorst is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Robert Vandervorst has authored 30 papers receiving a total of 549 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Geometry and Topology, 15 papers in Mathematical Physics and 12 papers in Computational Theory and Mathematics. Recurrent topics in Robert Vandervorst's work include Geometric and Algebraic Topology (13 papers), Quantum chaos and dynamical systems (10 papers) and Mathematical Dynamics and Fractals (9 papers). Robert Vandervorst is often cited by papers focused on Geometric and Algebraic Topology (13 papers), Quantum chaos and dynamical systems (10 papers) and Mathematical Dynamics and Fractals (9 papers). Robert Vandervorst collaborates with scholars based in Netherlands, United States and Germany. Robert Vandervorst's co-authors include William D. Kalies, J. Hulshof, Jan Bouwe van den Berg, Konstantin Mischaikow, Jarosław Kwapisz, Robert Ghrist, Thomas Wanner, Miroslav Kramár, Sigurd Angenent and Marek Izydorek and has published in prestigious journals such as Communications in Mathematical Physics, Physica D Nonlinear Phenomena and Transactions of the American Mathematical Society.

In The Last Decade

Robert Vandervorst

26 papers receiving 489 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Robert Vandervorst Netherlands 11 244 236 177 138 83 30 549
Pablo Amster Argentina 14 193 0.8× 350 1.5× 117 0.7× 75 0.5× 173 2.1× 96 632
Joachim von Below France 11 258 1.1× 108 0.5× 253 1.4× 70 0.5× 32 0.4× 29 467
Wiesław Krawcewicz Canada 13 147 0.6× 314 1.3× 115 0.6× 189 1.4× 143 1.7× 65 696
Krzysztof P. Rybakowski Germany 15 407 1.7× 352 1.5× 296 1.7× 217 1.6× 107 1.3× 67 845
Donald A. Lutz United States 16 237 1.0× 320 1.4× 207 1.2× 151 1.1× 270 3.3× 40 752
Sylvia Novo Spain 12 73 0.3× 105 0.4× 118 0.7× 123 0.9× 43 0.5× 32 331
Denis Bonheure Belgium 20 499 2.0× 833 3.5× 431 2.4× 139 1.0× 170 2.0× 67 1.0k
Yuming Shi China 18 309 1.3× 211 0.9× 716 4.0× 542 3.9× 112 1.3× 64 1.0k
Alexandra Rodkina Jamaica 9 141 0.6× 455 1.9× 153 0.9× 81 0.6× 99 1.2× 36 849

Countries citing papers authored by Robert Vandervorst

Since Specialization
Citations

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

Fields of papers citing papers by Robert Vandervorst

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Robert Vandervorst

This figure shows the co-authorship network connecting the top 25 collaborators of Robert Vandervorst. A scholar is included among the top collaborators of Robert Vandervorst 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 Robert Vandervorst. Robert Vandervorst 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.
Kalies, William D. & Robert Vandervorst. (2025). Priestley Duality and Representations of Global Dynamics. Qualitative Theory of Dynamical Systems. 24(4).
2.
Kalies, William D., et al.. (2023). Continuation sheaves in dynamics: Sheaf cohomology and bifurcation. Journal of Differential Equations. 367. 124–198.
3.
Vandervorst, Robert, et al.. (2020). Rabinowitz Floer Homology for Tentacular Hamiltonians. International Mathematics Research Notices. 2022(3). 2027–2085. 1 indexed citations
4.
Izydorek, Marek, et al.. (2017). Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces. Journal of Differential Equations. 263(11). 7162–7186. 3 indexed citations
5.
Vandervorst, Robert, et al.. (2016). The Poincaré-Hopf theorem for relative braid classes. Mathematische Zeitschrift. 287(1-2). 679–703.
6.
Kalies, William D., Konstantin Mischaikow, & Robert Vandervorst. (2015). Lattice Structures for Attractors II. Foundations of Computational Mathematics. 16(5). 1151–1191. 18 indexed citations
7.
Vandervorst, Robert, et al.. (2014). Functoriality and duality in Morse–Conley–Floer homology. Journal of Fixed Point Theory and Applications. 16(1-2). 437–476. 2 indexed citations
8.
Vandervorst, Robert, et al.. (2014). Morse–Conley–Floer homology. Journal of Topology and Analysis. 6(3). 305–338. 4 indexed citations
9.
Berg, Jan Bouwe van den, et al.. (2013). Closed characteristics on non-compact mechanical contact manifolds. arXiv (Cornell University). 2 indexed citations
10.
Berg, Jan Bouwe van den, Sarah Day, & Robert Vandervorst. (2013). Braided connecting orbits in parabolic equations via computational homology. Journal of Differential Equations. 255(6). 1086–1108. 1 indexed citations
11.
Berg, Jan Bouwe van den, Miroslav Kramár, & Robert Vandervorst. (2012). Oscillatory solutions of fourth order conservative systems via the Conley index. Journal of Differential Equations. 252(11). 6061–6098.
12.
Ghrist, Robert & Robert Vandervorst. (2008). Scalar parabolic PDEs and braids. Transactions of the American Mathematical Society. 361(5). 2755–2788. 1 indexed citations
13.
Berg, Jan Bouwe van den, et al.. (2007). Chaos in orientation reversing twist maps of the plane. Topology and its Applications. 154(13). 2580–2606. 4 indexed citations
14.
Kalies, William D., Konstantin Mischaikow, & Robert Vandervorst. (2005). An Algorithmic Approach to Chain Recurrence. Foundations of Computational Mathematics. 5(4). 409–449. 63 indexed citations
15.
Berg, Jan Bouwe van den, Robert Vandervorst, & Robert Ghrist. (2003). Morse theory on spaces of braids and Lagrangian dynamics. Inventiones mathematicae. 152(2). 369–432. 19 indexed citations
16.
Berg, Jan Bouwe van den & Robert Vandervorst. (2001). Second order Lagrangian Twist systems: simple closed characteristics. Transactions of the American Mathematical Society. 354(4). 1393–1420. 13 indexed citations
17.
Ghrist, Robert, Jan Bouwe van den Berg, & Robert Vandervorst. (2000). Closed characteristics of fourth-order twist systems via braids. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 331(11). 861–865. 6 indexed citations
18.
Kalies, William D., Jarosław Kwapisz, & Robert Vandervorst. (1998). Homotopy Classes for Stable Connections between Hamiltonian Saddle-Focus Equilibria. Communications in Mathematical Physics. 193(2). 337–371. 66 indexed citations
19.
Kalies, William D. & Robert Vandervorst. (1996). Multitransition Homoclinic and Heteroclinic Solutions of the Extended Fisher–Kolmogorov Equation. Journal of Differential Equations. 131(2). 209–228. 56 indexed citations
20.
Hulshof, J. & Robert Vandervorst. (1993). Differential Systems with Strongly Indefinite Variational Structure. Journal of Functional Analysis. 114(1). 32–58. 187 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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