David L. Rod

713 total citations
21 papers, 421 citations indexed

About

David L. Rod is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, David L. Rod has authored 21 papers receiving a total of 421 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Statistical and Nonlinear Physics, 7 papers in Mathematical Physics and 6 papers in Geometry and Topology. Recurrent topics in David L. Rod's work include Quantum chaos and dynamical systems (19 papers), Mathematical Dynamics and Fractals (7 papers) and Advanced Differential Equations and Dynamical Systems (6 papers). David L. Rod is often cited by papers focused on Quantum chaos and dynamical systems (19 papers), Mathematical Dynamics and Fractals (7 papers) and Advanced Differential Equations and Dynamical Systems (6 papers). David L. Rod collaborates with scholars based in Canada, United States and Netherlands. David L. Rod's co-authors include Richard C. Churchill, Martin Kummer, Richard Cushman, Michael F. Singer, Alberto Baider, B. D. Sleeman and Larry Bates and has published in prestigious journals such as Physica D Nonlinear Phenomena, Archive for Rational Mechanics and Analysis and Journal of Differential Equations.

In The Last Decade

David L. Rod

21 papers receiving 375 citations

Peers

David L. Rod
Comparison fields: 5 of 29
  • Statistical and Nonlinear Physics 377
  • Geometry and Topology 137
  • Mathematical Physics 103
  • Atomic and Molecular Physics, and Optics 59
  • Nuclear and High Energy Physics 52
Richard C. Churchill United States
A. Sym Poland
O I Bogoyavlenskiĭ Russia
V. F. Lazutkin Russia
Chris Athorne United Kingdom
Dmitrii Valer'evich Treschev Russia
Helmut Rüßmann Germany
Marek Antonowicz Poland
Anatoliy K. Prykarpatsky Poland
D. David Canada
Richard C. Churchill United States View profile →
Citations per field, relative to David L. Rod
David L. Rod · 1×
Citations per year, relative to David L. Rod
David L. Rod · 1×

Countries citing papers authored by David L. Rod

Since Specialization
Citations

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

Fields of papers citing papers by David L. Rod

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by David L. Rod. 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 David L. Rod. The network helps show where David L. Rod may publish in the future.

Co-authorship network of co-authors of David L. Rod

This figure shows the co-authorship network connecting the top 25 collaborators of David L. Rod. A scholar is included among the top collaborators of David L. Rod 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 David L. Rod. David L. Rod 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
# Title Journal Authors Indexed citations
1 Conservative Systems and Quantum Chaos American Mathematical Society eBooks Larry Bates, David L. Rod 1
2 The Spring-Pendulum System and the Riemann Equation Richard C. Churchill, David L. Rod et al. 6
3 Group-theoretic obstructions to integrability Ergodic Theory and Dynamical Systems Richard C. Churchill, David L. Rod et al. 23
4 On the Determination of Ziglin Monodromy Groups SIAM Journal on Mathematical Analysis Richard C. Churchill, David L. Rod 29
5 Monodromy and nonintegrability in complex Hamiltonian systems Journal of Dynamics and Differential Equations Alberto Baider, Richard C. Churchill et al. 17
6 On a Result of Bruns Canadian Mathematical Bulletin Martin Kummer, Richard C. Churchill et al. 11
7 Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems Journal of Differential Equations Richard C. Churchill, David L. Rod 14
8 Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation Proceedings of the Royal Society of Edinburgh Section A Mathematics Richard C. Churchill, David L. Rod 8
9 On averaging, reduction, and symmetry in hamiltonian systems Journal of Differential Equations Richard C. Churchill, Martin Kummer et al. 73
10 Reduction of the semisimple 1:1 resonance Physica D Nonlinear Phenomena Richard Cushman, David L. Rod 51
11 Pathology in dynamical systems. III. Analytic Hamiltonians Journal of Differential Equations Richard C. Churchill, David L. Rod 31
12 Stability transitions for periodic orbits in hamiltonian systems Archive for Rational Mechanics and Analysis Richard C. Churchill, David L. Rod et al. 28
13 Addendum to “hyperbolic periodic orbits” Journal of Differential Equations David L. Rod, Richard C. Churchill et al. 3
14 Coexistence of stable and random motion Rocky Mountain Journal of Mathematics Richard C. Churchill, David L. Rod et al. 8
15 Hyperbolic periodic orbits Journal of Differential Equations David L. Rod, Richard C. Churchill et al. 17
16 Hyperbolic structures in hamiltonian systems Rocky Mountain Journal of Mathematics Richard C. Churchill, David L. Rod et al. 4
17 Pathology in dynamical systems II: Applications Journal of Differential Equations Richard C. Churchill, David L. Rod 14
18 Pathology in dynamical systems I: General theory Journal of Differential Equations Richard C. Churchill, David L. Rod 16
19 Isolated unstable periodic orbits Journal of Differential Equations Richard C. Churchill, David L. Rod et al. 31
20 Pathology of invariant sets in the monkey saddle Journal of Differential Equations David L. Rod 34

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.

Explore authors with similar magnitude of impact

Rankless by CCL
2026