Michael Field
Impact in
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- Quantum chaos and dynamical systems
- Chaos control and synchronization
- stochastic dynamics and bifurcation
- Mathematical Physics top 5%
- Mathematical Dynamics and Fractals
Papers in
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- Mathematical Dynamics and Fractals 11
- Homotopy and Cohomology in Algebraic Topology 3
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- Quantum chaos and dynamical systems 10
- Chaos control and synchronization 5
- Co-authors
- Martin GolubitskyIan MelbournePeter AshwinO.A. AsbjørnsenAndrei TörökWilliam ParryNikita AgarwalR. Friedberg
- Journals
- Nonlinearity (5 papers)Journal of Nonlinear Science (2 papers)Memoirs of the American Mathematical Society (2 papers)Dynamical Systems (2 papers)Ergodic Theory and Dynamical Systems (2 papers)
- Partner nations
- United StatesUnited KingdomRomania
In The Last Decade
Michael Field
34 papers receiving 486 citations
Peers
Comparison fields: 5 of 91
- Statistical and Nonlinear Physics 226
- Mathematical Physics 164
- Geometry and Topology 88
- Computer Networks and Communications 200
- Cognitive Neuroscience 68
Countries citing papers authored by Michael Field
This map shows the geographic impact of Michael Field'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 Michael Field with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Field more than expected).
Fields of papers citing papers by Michael Field
This network shows the impact of papers produced by Michael Field. 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 Michael Field. The network helps show where Michael Field may publish in the future.
Co-authorship network
The 25 scholars most cited alongside Michael Field, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2023 | 2 | |
| 2 | Analytic Characterization of the Hessian in Shallow ReLU Models: A Tale of Symmetry | 2020 | 1 |
| 3 | 2018 | 7 | |
| 4 | 2017 | 9 | |
| 5 | 2011 | 4 | |
| 6 | 2010 | 1 | |
| 7 | 2010 | 14 | |
| 8 | 2010 | 10 | |
| 9 | 2009 | 32 | |
| 10 | 2007 | 32 | |
| 11 | 2005 | 14 | |
| 12 | 2005 | 14 | |
| 13 | 2004 | 4 | |
| 14 | 2003 | 11 | |
| 15 | 1999 | 28 | |
| 16 | 1999 | 53 | |
| 17 | 1996 | 19 | |
| 18 | 1995 | 20 | |
| 19 | Symmetries on the edge of chaos | 1993 | 1 |
| 20 | 1991 | 16 |
About Michael Field
Michael Field is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics, Architecture, Geometry and Topology and Computer Networks and Communications, having authored 34 papers that have together received 530 indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (11 papers), Nonlinear Dynamics and Pattern Formation (11 papers), Quantum chaos and dynamical systems (10 papers), Chaos control and synchronization (5 papers), Gene Regulatory Network Analysis (3 papers), Homotopy and Cohomology in Algebraic Topology (3 papers), Neural dynamics and brain function (2 papers) and Geometry and complex manifolds (2 papers). The work is most often cited by research in Statistical and Nonlinear Physics (226 citations), Mathematical Physics (164 citations), Geometry and Topology (88 citations), Computer Networks and Communications (200 citations) and Cognitive Neuroscience (68 citations). Michael Field has collaborated with scholars based in United States, United Kingdom and Romania. Frequent co-authors include Martin Golubitsky, Ian Melbourne, Peter Ashwin, O.A. Asbjørnsen, Andrei Török, William Parry, Nikita Agarwal, R. Friedberg, Matthew Nicol and Christian Bick. Their work appears in journals such as Nonlinearity, Journal of Nonlinear Science, Memoirs of the American Mathematical Society, Dynamical Systems and Ergodic Theory and Dynamical Systems.
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.