Ralph Abraham

9.0k citations
61 papers · 4.8k indexed · 3 hit papers · h-index 20

Impact in

Papers in

Ralph Abraham

55 papers receiving 4.3k citations

Hit Papers

Manifolds, Tensor Analysis, and Applications 1988 · 1.1k citations
1.1k19682026198720062505007501000

Peers

Ralph Abraham
Comparison fields: 5 of 164
  • Statistical and Nonlinear Physics 1.5k
  • Mathematical Physics 869
  • Geometry and Topology 810
  • Numerical Analysis 372
  • Applied Mathematics 607
Replace Martin Golubitsky with:
Martin Golubitsky United States
David Hilbert United States
Steve Smale United States
Robert L. Devaney United States
Ian Stewart United Kingdom
Carl Hammer United States
Robert M. Corless Canada
Morris W. Hirsch United States
Владимир Игоревич Арнольд
Ulf Grenander United States
Ralph Abraham relative to Martin Golubitsky United States Martin Golubitsky's profile →
Citations per field
00.5×1.5×
Martin Golubitsky · 1×
Citations per year

Countries citing papers authored by Ralph Abraham

Since Specialization
Citations

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

Fields of papers citing papers by Ralph Abraham

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Ralph Abraham, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Ralph Abraham Line = papers co-authored together Ralph Abraham links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 202113
2 20171
3 201715
4 20152
5 201113
6 2008125
7 20089
8 20044
9 200132
10 19982
11 19987
12 199564
13 19958
14 199471
15 19922
16 1988245
17 19881
18 19871
19
Lectures of Smale on differential topology
196351
20 196353

About Ralph Abraham

Ralph Abraham is a scholar working on Theoretical Computer Science, Statistical and Nonlinear Physics, Archeology, Geometry and Topology and Ecological Modeling, having authored 61 papers that have together received 4.8k indexed citations. Recurring topics across this work include Nonlinear Dynamics and Pattern Formation (7 papers), Chaos control and synchronization (7 papers), Complex Systems and Time Series Analysis (6 papers), Aesthetic Perception and Analysis (3 papers), Quantum chaos and dynamical systems (3 papers), Opinion Dynamics and Social Influence (3 papers), Computational Physics and Python Applications (3 papers) and Psychedelics and Drug Studies (2 papers). The work is most often cited by research in Statistical and Nonlinear Physics (1.5k citations), Mathematical Physics (869 citations), Geometry and Topology (810 citations), Numerical Analysis (372 citations) and Applied Mathematics (607 citations). Ralph Abraham has collaborated with scholars based in United States, Japan and Italy. Frequent co-authors include Tudor S. Raţiu, Jerrold E. Marsden, J. Marsden, Chris Shaw, Cécile DeWitt-Morette, Jerrold Marsden, Joel W. Robbin, H.B. Stewart, Yoshisuke Ueda and Laura Gardini. Their work appears in journals such as International Journal of Bifurcation and Chaos, Progress in Biophysics and Molecular Biology, Journal of Economic Dynamics and Control, Mind Brain and Education and Advanced Engineering Materials.

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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