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 — A (Enhanced Table)

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

Name	h						Papers	Cites
David L. Rod Canada	13	377	137	103	59	52	21	421
Richard C. Churchill United States	13	360 1.0×	168 1.2×	143 1.4×	44 0.7×	40 0.8×	32	451
A. Sym Poland	14	531 1.4×	120 0.9×	60 0.6×	105 1.8×	54 1.0×	33	564
O I Bogoyavlenskiĭ Russia	12	544 1.4×	256 1.9×	82 0.8×	40 0.7×	31 0.6×	29	610
V. F. Lazutkin Russia	11	537 1.4×	183 1.3×	307 3.0×	79 1.3×	45 0.9×	29	630
Chris Athorne United Kingdom	13	466 1.2×	183 1.3×	95 0.9×	107 1.8×	41 0.8×	49	539
Dmitrii Valer'evich Treschev Russia	10	265 0.7×	63 0.5×	124 1.2×	30 0.5×	22 0.4×	28	329
Helmut Rüßmann Germany	9	231 0.6×	94 0.7×	142 1.4×	34 0.6×	28 0.5×	15	311
Marek Antonowicz Poland	13	721 1.9×	279 2.0×	94 0.9×	93 1.6×	34 0.7×	22	744
Anatoliy K. Prykarpatsky Poland	10	246 0.7×	121 0.9×	58 0.6×	77 1.3×	10 0.2×	58	345
D. David Canada	11	467 1.2×	176 1.3×	65 0.6×	101 1.7×	14 0.3×	12	498

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

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20 of 20 papers shown

Bates, Larry & David L. Rod. (1996). Conservative Systems and Quantum Chaos. American Mathematical Society eBooks. 1 indexed citations

Churchill, Richard C., et al.. (1996). The Spring-Pendulum System and the Riemann Equation. 8. 97. 6 indexed citations

Churchill, Richard C., David L. Rod, & Michael F. Singer. (1995). Group-theoretic obstructions to integrability. Ergodic Theory and Dynamical Systems. 15(1). 15–48. 23 indexed citations

Churchill, Richard C. & David L. Rod. (1991). On the Determination of Ziglin Monodromy Groups. SIAM Journal on Mathematical Analysis. 22(6). 1790–1802. 29 indexed citations

Baider, Alberto, Richard C. Churchill, & David L. Rod. (1990). Monodromy and nonintegrability in complex Hamiltonian systems. Journal of Dynamics and Differential Equations. 2(4). 451–481. 17 indexed citations

Kummer, Martin, Richard C. Churchill, & David L. Rod. (1990). On a Result of Bruns. Canadian Mathematical Bulletin. 33(2). 175–180. 11 indexed citations

Churchill, Richard C. & David L. Rod. (1988). Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems. Journal of Differential Equations. 76(1). 91–114. 14 indexed citations

Churchill, Richard C. & David L. Rod. (1986). Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 102(3-4). 345–363. 8 indexed citations

Churchill, Richard C., Martin Kummer, & David L. Rod. (1983). On averaging, reduction, and symmetry in hamiltonian systems. Journal of Differential Equations. 49(3). 359–414. 73 indexed citations

10.

Cushman, Richard & David L. Rod. (1982). Reduction of the semisimple 1:1 resonance. Physica D Nonlinear Phenomena. 6(1). 105–112. 51 indexed citations

11.

Churchill, Richard C. & David L. Rod. (1980). Pathology in dynamical systems. III. Analytic Hamiltonians. Journal of Differential Equations. 37(1). 23–38. 31 indexed citations

12.

Churchill, Richard C., et al.. (1980). Stability transitions for periodic orbits in hamiltonian systems. Archive for Rational Mechanics and Analysis. 73(4). 313–347. 28 indexed citations

13.

Rod, David L., et al.. (1978). Addendum to “hyperbolic periodic orbits”. Journal of Differential Equations. 28(1). 163–165. 3 indexed citations

14.

Churchill, Richard C., et al.. (1977). Coexistence of stable and random motion. Rocky Mountain Journal of Mathematics. 7(3). 8 indexed citations

15.

Rod, David L., et al.. (1977). Hyperbolic periodic orbits. Journal of Differential Equations. 24(3). 329–348. 17 indexed citations

16.

Churchill, Richard C., et al.. (1977). Hyperbolic structures in hamiltonian systems. Rocky Mountain Journal of Mathematics. 7(3). 4 indexed citations

17.

Churchill, Richard C. & David L. Rod. (1976). Pathology in dynamical systems II: Applications. Journal of Differential Equations. 21(1). 66–112. 14 indexed citations

18.

Churchill, Richard C. & David L. Rod. (1976). Pathology in dynamical systems I: General theory. Journal of Differential Equations. 21(1). 39–65. 16 indexed citations

19.

Churchill, Richard C., et al.. (1975). Isolated unstable periodic orbits. Journal of Differential Equations. 17(2). 329–348. 31 indexed citations

20.

Rod, David L.. (1973). Pathology of invariant sets in the monkey saddle. Journal of Differential Equations. 14(1). 129–170. 34 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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