Morris W. Hirsch
Affiliations: | Mathematics | University of California, Berkeley, Berkeley, CA, United States |
Area:
Dynamical systems, Neural networksGoogle:
"Morris Hirsch"Bio:
Parents
Sign in to add mentor| Stephen Smale | grad student | 1958 | Chicago | |
| Edwin Henry Spanier | grad student | 1958 | Chicago | |
| (Immersions of Manifolds.) | ||||
Children
Sign in to add trainee| William P. Thurston | grad student | 1972 | UC Berkeley |
| Johanna L. Neaderhouser | grad student | 2000 | UC Berkeley |
| Kashi S. Abhyankar | grad student | 2001 | UC Berkeley |
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Publications
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| Hirsch MW. (2019) Monotone Flows with Dense Periodic Orbits European Journal of Pure and Applied Mathematics. 12: 1350-1359 |
| Hirsch MW, Turiel FJ. (2019) Primary singularities of vector fields on surfaces Geometriae Dedicata. 207: 243-253 |
| HIRSCH MW, TURIEL F. (2017) Zero sets of Lie algebras of analytic vector fields on real and complex two-dimensional manifolds Ergodic Theory and Dynamical Systems. 39: 954-979 |
| Hirsch MW. (2015) Common zeroes of families of smooth vector fields on surfaces Geometriae Dedicata. 1-7 |
| Hirsch MW, Smale S, Devaney RL. (2013) Differential Equations, Dynamical Systems, and an Introduction to Chaos Differential Equations, Dynamical Systems, and An Introduction to Chaos |
| Hirsch MW. (2008) On existence and uniqueness of the carrying simplex for competitive dynamical systems. Journal of Biological Dynamics. 2: 169-79 |
| Goldman WM, Hirsch MW. (1981) A generalization of Bieberbach's theorem Inventiones Mathematicae. 65: 1-11 |
| Hirsch MW, Smale S. (1979) On Algorithms for Solving f(x)=0 Communications On Pure and Applied Mathematics. 32: 281-312 |
| Hirsch MW, Thurston WP. (1975) Foliated Bundles, Invariant Measures and Flat Manifolds The Annals of Mathematics. 101: 369 |
| Hirsch MW, Pugh CC. (1969) Stable manifolds for hyperbolic sets Bulletin of the American Mathematical Society. 75: 149-152 |