Ralph Abraham
Impact in
- Statistical and Nonlinear Physics top 0.2%
- Quantum chaos and dynamical systems
- Nonlinear Waves and Solitons
- Chaos control and synchronization
- Mathematical Physics top 0.5%
- Mathematical Dynamics and Fractals
Papers in
-
- Chaos control and synchronization 12
- Quantum chaos and dynamical systems 10
-
- Nonlinear Dynamics and Pattern Formation 11
- Co-authors
- Tudor S. Raţiu (7 shared papers)Jerrold E. Marsden (7 shared papers)J. Marsden (2 shared papers)Chris Shaw (3 shared papers)Cécile DeWitt-Morette (1 shared paper)Jerrold Marsden (2 shared papers)Joel W. Robbin (1 shared paper)Yoshisuke Ueda (5 shared papers)
- Journals
- International Journal of Bifurcation and Chaos (7 papers)Progress in Biophysics and Molecular Biology (2 papers)Lecture notes in mathematics (2 papers)Journal of Economic Dynamics and Control (2 papers)World Futures (10 papers)
- Partner nations
- United StatesJapanItaly
In The Last Decade
Ralph Abraham
80 papers receiving 5.0k citations
Ralph Abraham's Hit Papers
Peers
Comparison fields: 5 of 164
- Statistical and Nonlinear Physics 1.8k
- Mathematical Physics 1.0k
- Geometry and Topology 912
- Numerical Analysis 417
- Applied Mathematics 671
Countries citing papers authored by Ralph Abraham
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
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.
All Works
Showing the 20 most-cited of 93 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Foundations Of Mechanics Hit paper breakdown → | 1968 | 1296 |
| 2 | Manifolds, Tensor Analysis, and Applications Hit paper breakdown → | 1988 | 1217 |
| 3 | Manifolds, Tensor Analysis, and Applications Hit paper breakdown → | 1984 | 929 |
| 4 | Dynamics--the geometry of behavior | 1992 | 460 |
| 5 | 1988 | 282 | |
| 6 | 2008 | 135 | |
| 7 | Transversal mappings and flows | 2008 | 135 |
| 8 | 1994 | 101 | |
| 9 | 1994 | 84 | |
| 10 | 1997 | 80 | |
| 11 | 1995 | 77 | |
| 12 | Lectures of Smale on differential topology | 1963 | 65 |
| 13 | 1963 | 65 | |
| 14 | 1997 | 56 | |
| 15 | The road to chaos | 1992 | 53 |
| 16 | 1994 | 49 | |
| 17 | 2001 | 46 | |
| 18 | 1984 | 44 | |
| 19 | 1986 | 40 | |
| 20 | 2008 | 35 |
About Ralph Abraham
Ralph Abraham is a scholar working on Statistical and Nonlinear Physics, Computer Networks and Communications, Economics and Econometrics, Artificial Intelligence and Mathematical Physics, having authored 93 papers that have together received 5.8k indexed citations. Recurring topics across this work include Chaos control and synchronization (12 papers), Nonlinear Dynamics and Pattern Formation (11 papers), Quantum chaos and dynamical systems (10 papers), Complex Systems and Time Series Analysis (9 papers), Mathematical Dynamics and Fractals (5 papers), Computational Physics and Python Applications (4 papers), Aesthetic Perception and Analysis (3 papers) and Cellular Automata and Applications (3 papers). The work is most often cited by research in Statistical and Nonlinear Physics (1.8k citations), Mathematical Physics (1.0k citations), Geometry and Topology (912 citations), Numerical Analysis (417 citations) and Applied Mathematics (671 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, Yoshisuke Ueda, H.B. Stewart and Laura Gardini. Their work appears in journals such as International Journal of Bifurcation and Chaos, Progress in Biophysics and Molecular Biology, Lecture notes in mathematics, Journal of Economic Dynamics and Control and World Futures.
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.