Glen R. Hall

1.5k total citations
21 papers, 993 citations indexed

About

Glen R. Hall is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Glen R. Hall has authored 21 papers receiving a total of 993 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Mathematical Physics, 12 papers in Geometry and Topology and 11 papers in Statistical and Nonlinear Physics. Recurrent topics in Glen R. Hall's work include Mathematical Dynamics and Fractals (13 papers), Quantum chaos and dynamical systems (10 papers) and Advanced Differential Equations and Dynamical Systems (8 papers). Glen R. Hall is often cited by papers focused on Mathematical Dynamics and Fractals (13 papers), Quantum chaos and dynamical systems (10 papers) and Advanced Differential Equations and Dynamical Systems (8 papers). Glen R. Hall collaborates with scholars based in United States, Spain and Canada. Glen R. Hall's co-authors include Kenneth R. Meyer, Richard McGehee, D. G. Aronson, Josep M. Cors, Philip Boyland, Christophe Golé and Gareth E. Roberts and has published in prestigious journals such as Communications in Mathematical Physics, Physica D Nonlinear Phenomena and SIAM Journal on Control and Optimization.

In The Last Decade

Glen R. Hall

21 papers receiving 922 citations

Peers

Countries citing papers authored by Glen R. Hall

Since Specialization

Citations

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

Fields of papers citing papers by Glen R. Hall

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Glen R. Hall. 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 Glen R. Hall. The network helps show where Glen R. Hall may publish in the future.

Co-authorship network of co-authors of Glen R. Hall

This figure shows the co-authorship network connecting the top 25 collaborators of Glen R. Hall. A scholar is included among the top collaborators of Glen R. Hall 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 Glen R. Hall. Glen R. Hall 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

#	Work	Indexed citations
1	Uniqueness results for co-circular central configurations for power-law potentials 2014 ·Physica D Nonlinear Phenomena ·Josep M. Cors, Glen R. Hall, Gareth E. Roberts	10
2	Numerical Exploration of the Limit Ring Problem 2012 ·Qualitative Theory of Dynamical Systems ·(unknown), Josep M. Cors, Glen R. Hall	7
3	A Limit Case of the “Ring Problem”: The Planar Circular Restricted $1+n$ Body Problem 2010 ·SIAM Journal on Applied Dynamical Systems ·(unknown), Josep M. Cors, Glen R. Hall	4
4	Introduction to Hamiltonian Dynamical Systems and the N-Body Problem 2008 ·Applied mathematical sciences ·Kenneth R. Meyer, Glen R. Hall, (unknown)	209
5	Coorbital Periodic Orbits in the Three Body Problem 2003 ·SIAM Journal on Applied Dynamical Systems ·Josep M. Cors, Glen R. Hall	11
6	An Example of a Universally Observable Flow on the Torus 1998 ·SIAM Journal on Control and Optimization ·(unknown), Glen R. Hall	1
7	Robustness of periodic point free maps of the annulus 1996 ·Topology and its Applications ·Glen R. Hall, (unknown)	5
8	Computer protocol and torus maps 1996 ·Dynamics and Stability of Systems ·(unknown), Glen R. Hall, (unknown)	2
9	Introduction to Hamiltonian Dynamical Systems and the N-Body Problem 1992 ·Applied mathematical sciences ·Kenneth R. Meyer, Glen R. Hall	261
10	Poincaré’s Proof of Poincaré’s Last Geometric Theorem 1992 ·University of Minnesota Digital Conservancy (University of Minnesota) ·Christophe Golé, Glen R. Hall	12
11	A topological version of a theorem of Mather on shadowing in monotone twist maps 1989 ·Banach Center Publications ·Glen R. Hall	4
12	Invariant circles and the order structure of periodic orbits in monotone twist maps 1987 ·Topology ·Philip Boyland, Glen R. Hall	25
13	Some examples of permutations modelling area preserving monotone twist maps 1987 ·Physica D Nonlinear Phenomena ·Glen R. Hall	1
14	Resonance Zones in Two-Parameter Families of Circle Homeomorphisms 1984 ·SIAM Journal on Mathematical Analysis ·Glen R. Hall	34
15	A topological version of a theorem of Mather on twist maps 1984 ·Ergodic Theory and Dynamical Systems ·Glen R. Hall	37
16	Birkhoff Orbits for Non-Monotone Twist Maps. 1984 ·Defense Technical Information Center (DTIC) ·Glen R. Hall	1
17	Bifurcation of an attracting invariant circle: a Denjoy attractor 1983 ·Ergodic Theory and Dynamical Systems ·Glen R. Hall	10
18	Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted study 1982 ·Communications in Mathematical Physics ·D. G. Aronson, (unknown), Glen R. Hall, Richard McGehee	308
19	Acute triangles in the n-ball 1982 ·Journal of Applied Probability ·Glen R. Hall	9
20	A C^∞ Denjoy counterexample 1981 ·Ergodic Theory and Dynamical Systems ·Glen R. Hall	32

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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