Morris W. Hirsch

14.4k citations

120 papers · 8.5k indexed · 3 hit papers · h-index 34

Impact in

Geometry and Topology top 0.05%
- Advanced Differential Equations and Dynamical Systems
- Geometric and Algebraic Topology
Mathematical Physics top 0.1%
- Mathematical Dynamics and Fractals
- Homotopy and Cohomology in Algebraic Topology

Papers in

Mathematical Physics 58
- Homotopy and Cohomology in Algebraic Topology 29
- Mathematical Dynamics and Fractals 25
Geometry and Topology 55
- Geometric and Algebraic Topology 19
- Advanced Differential Equations and Dynamical Systems 17
- Geometry and complex manifolds 11

Co-authors: Charles Pugh Hal L. Smith Michael Shub Stephen T. Smale Robert L. Devaney F.F. Wu Hsiao‐Dong Chiang Michel Benaı̈m
Journals: Proceedings of the American Mathematical Society (12 papers)Bulletin of the American Mathematical Society (10 papers)Annals of Mathematics (9 papers)Transactions of the American Mathematical Society (6 papers)Ergodic Theory and Dynamical Systems (5 papers)
Partner nations: United States France United Kingdom

In The Last Decade

Morris W. Hirsch

110 papers receiving 7.1k citations

Hit Papers

align trajectories log scale

Differential Equations, Dynamical Systems, and an Introduction to Chaos 2013 · 657 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

2013 Elsevier eBooks
1977 Lecture notes in mathematics
1976 Graduate texts in mathematics

Peers

Countries citing papers authored by Morris W. Hirsch

Since Specialization

Citations

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

Fields of papers citing papers by Morris W. Hirsch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Morris W. Hirsch. 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 Morris W. Hirsch. The network helps show where Morris W. Hirsch may publish in the future.

Co-authors

The 25 scholars most cited alongside Morris W. Hirsch, 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 Morris W. Hirsch Line = papers co-authored together Morris W. Hirsch links everyone, so they are left out of the graph.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

#	Work
1	Smale strategies for network prisoner's dilemma games eScholarship (California Digital Library) ·Morris W. Hirsch, Michel Benaı̈m, Kashi Behrstock	2015	4
2	Attractors in coherent systems of differential equations Journal of Differential Equations ·David Angeli, Morris W. Hirsch, Eduardo D. Sontag	2009	13
3	On existence and uniqueness of the carrying simplex for competitive dynamical systems Journal of Biological Dynamics ·Morris W. Hirsch	2008	37
4	CCF: Collaborative Computing Frameworks Conference on High Performance Computing (Supercomputing) ·Vaidy Sunderam, S.Y. Cheung, Morris W. Hirsch, S.E. Chodrow, Michelangelo Grigni, Alan T. Krantz, Injong Rhee, Paul A. Gray, S. Olesen, Phillip W. Hutto, J. Sult	1998	9
5	Suggesting Terms for Query Expansion in a Medical Information Retrieval System PubMed Central ·Morris W. Hirsch, David B. Aronow	1995	2
6	Fixed Points of Monotone Maps Journal of Differential Equations ·Morris W. Hirsch	1995	6
7	Computing with dynamic attractors in neural networks Biosystems ·Morris W. Hirsch, Bill Baird	1995	11
8	Saturation at high gain in discrete time recurrent networks Neural Networks ·Morris W. Hirsch	1994	8
9	A note on the differential equations of Gleick-Lorenz Proceedings of the American Mathematical Society ·Morris W. Hirsch	1989	1
10	Systems of differential equations that are competitive or cooperative. V. Convergence in 3-dimensional systems Journal of Differential Equations ·Morris W. Hirsch	1989	64
11	Enkephalinase is involved in the degradation of endogenous substance P released from slices of rat substantia nigra. Journal of Pharmacology and Experimental Therapeutics ·A. Mauborgne, S. Bourgoin, J.J. Benoliel, Morris W. Hirsch, Joseph Berthier, M. Hamon, F. Cesselin	1987	26
12	Affine Manifolds and Orbits of Algebraic Groups Transactions of the American Mathematical Society ·William M. Goldman, Morris W. Hirsch	1986	5
13	A generalization of Bieberbach's theorem Inventiones mathematicae ·William M. Goldman, Morris W. Hirsch	1981	9
14	Anosov maps, Polycyclic groups and Homology Topology ·Morris W. Hirsch	1971	15
15	Embeddings and compressions of polyhedra and smooth manifolds Topology ·Morris W. Hirsch	1966	18
16	On embedding 4-manifolds in R⁷ Mathematical Proceedings of the Cambridge Philosophical Society ·Morris W. Hirsch	1965	9
17	On the fibre homotopy type of normal bundles. The Michigan Mathematical Journal ·Morris W. Hirsch	1965	4
18	A proof of the nonretractibility of a cell onto its boundary Proceedings of the American Mathematical Society ·Morris W. Hirsch	1963	18
19	Immersions of almost parallelizable manifolds Proceedings of the American Mathematical Society ·Morris W. Hirsch	1961	1
20	Immersions of Almost Parallelizable Manifolds Proceedings of the American Mathematical Society ·Morris W. Hirsch	1961	1

About Morris W. Hirsch

Morris W. Hirsch is a scholar working on Mathematical Physics, Geometry and Topology, Algebra and Number Theory, Theoretical Computer Science and Computational Mathematics, having authored 120 papers that have together received 8.5k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (29 papers), Mathematical Dynamics and Fractals (25 papers), Geometric and Algebraic Topology (19 papers), Advanced Differential Equations and Dynamical Systems (17 papers), Advanced Topics in Algebra (15 papers), Quantum chaos and dynamical systems (13 papers), Geometry and complex manifolds (11 papers) and Nonlinear Dynamics and Pattern Formation (10 papers). The work is most often cited by research in Geometry and Topology (2.7k citations), Mathematical Physics (2.7k citations), Statistical and Nonlinear Physics (2.1k citations), Modeling and Simulation (575 citations) and Applied Mathematics (1.3k citations). Morris W. Hirsch has collaborated with scholars based in United States, France and United Kingdom. Frequent co-authors include Charles Pugh, Hal L. Smith, Michael Shub, Stephen T. Smale, Robert L. Devaney, F.F. Wu, Hsiao‐Dong Chiang, Michel Benaı̈m, William M. Goldman and Xiaoqiang Zhao. Their work appears in journals such as Proceedings of the American Mathematical Society, Bulletin of the American Mathematical Society, Annals of Mathematics, Transactions of the American Mathematical Society 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.

Explore authors with similar magnitude of impact