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## Hirsch, Morris W.

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 Author ID: hirsch.morris-w Published as: Hirsch, M.; Hirsch, M. W.; Hirsch, Moris W.; Hirsch, Morris; Hirsch, Morris W. External Links: MGP · Wikidata · GND
 Documents Indexed: 136 Publications since 1959, including 8 Books
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#### Co-Authors

 75 single-authored 8 Goldman, William M. 8 Pugh, Charles Chapman 7 Benaïm, Michel 7 Smith, Hal Leslie 5 Smale, Steve 4 Shub, Michael 2 Atiyah, Michael Francis 2 Borel, Armand 2 Devaney, Robert L. 2 Fried, David 2 Friedan, Daniel Harry 2 Gray, Jeremy John 2 Haefliger, André 2 Turiel, Francisco Javier 2 Zeeman, Erik Christopher 1 Akuezue, H. C. 1 Angeli, David 1 Baker, Richard L. 1 Behrstock, Kashi 1 Browder, William 1 Chaitin, Gregory J. 1 Chiang, Hsiao-Dong 1 Dubbins, L. 1 Enciso, Germán Andrés 1 Ennis, Christopher 1 Glimm, James G. 1 Hirsch, Michael D. 1 Hurley, Mike 1 Karush, Jack I. 1 Levitt, Gilbert 1 Mac Lane, Leslie Saunders 1 Mandelbrot, Benoit B. 1 Marsden, Jerrold Eldon 1 Mazur, Barry 1 Milnor, John Willard 1 Neuwirth, Lee Paul 1 Palis, Jacob jun. 1 Ruelle, David Pierre 1 Schwarz, Albert S. 1 Sontag, Eduardo D. 1 Thom, René 1 Thurston, William Paul 1 Uhlenbeck, Karen Keskulla 1 Wang, Xiaolu 1 Weinstein, Alan David 1 Witten, Edward 1 Wu, Felix F. 1 Zhao, Xiao-Qiang
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#### Serials

 9 Annals of Mathematics. Second Series 9 Bulletin of the American Mathematical Society 7 Proceedings of the American Mathematical Society 6 Ergodic Theory and Dynamical Systems 4 Michigan Mathematical Journal 4 Topology 4 SIAM Journal on Mathematical Analysis 4 Journal of Dynamics and Differential Equations 3 Journal of Differential Equations 3 Transactions of the American Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 2 Houston Journal of Mathematics 2 American Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Aequationes Mathematicae 2 Discrete and Continuous Dynamical Systems 2 Proceedings of the Cambridge Philosophical Society 2 Journal of Fixed Point Theory and Applications 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Nonlinearity 1 IEEE Transactions on Automatic Control 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 The Annals of Applied Probability 1 Games and Economic Behavior 1 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Pokroky Matematiky, Fyziky & Astronomie 1 Notices of the American Mathematical Society 1 Neurocomputing 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Lie Theory 1 Journal of Difference Equations and Applications 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Annals of Mathematics Studies 1 Graduate Texts in Mathematics 1 Lecture Notes in Mathematics 1 Journal of Biological Dynamics 1 European Journal of Pure and Applied Mathematics 1 Axioms 1 Journal of Dynamics and Games 1 AIMS Mathematics
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#### Fields

 57 Dynamical systems and ergodic theory (37-XX) 32 Manifolds and cell complexes (57-XX) 24 Ordinary differential equations (34-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Differential geometry (53-XX) 11 Algebraic topology (55-XX) 9 General topology (54-XX) 7 Topological groups, Lie groups (22-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Operator theory (47-XX) 5 Biology and other natural sciences (92-XX) 4 Partial differential equations (35-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

118 Publications have been cited 4,983 times in 3,989 Documents Cited by Year
Differential topology. Zbl 0356.57001
Hirsch, Morris W.
1976
Invariant manifolds. Zbl 0355.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
1977
Differential equations, dynamical systems, and linear algebra. Zbl 0309.34001
Hirsch, Morris W.; Smale, Stephen
1974
Immersions of manifolds. Zbl 0113.17202
Hirsch, M. W.
1959
Systems of differential equations which are competitive or cooperative. I: Limit sets. Zbl 0494.34017
Hirsch, Morris W.
1982
An exact sequence in differential topology. Zbl 0121.18004
Hirsch, M. W.
1960
Systems of differential equations that are competitive or cooperative. II: Convergence almost everywhere. Zbl 0658.34023
Hirsch, Morris W.
1985
Stability and convergence in strongly monotone dynamical systems. Zbl 0624.58017
Hirsch, Morris W.
1988
Systems of differential equations which are competitive or cooperative. III: Competing species. Zbl 0658.34024
Hirsch, Morris W.
1988
Differential equations, dynamical systems, and an introduction to chaos. 2nd ed. Zbl 1135.37002
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
2004
Stable manifolds and hyperbolic sets. Zbl 0215.53001
Hirsch, M. W.; Pugh, C. C.
1970
The dynamical systems approach to differential equations. Zbl 0541.34026
Hirsch, Morris W.
1984
Invariant manifolds. Zbl 0226.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
1970
Monotone dynamical systems. Zbl 1094.34003
Hirsch, M. W.; Smith, Hal
2005
Chain transitivity, attractivity, and strong repellors for semidynamical systems. Zbl 1129.37306
Hirsch, Morris W.; Smith, Hal L.; Zhao, Xiao-Qiang
2001
Neighborhoods of hyperbolic sets. Zbl 0191.21701
Hirsch, M.; Palis, J.; Pugh, C.; Shub, M.
1970
Differential equations, dynamical systems, and an introduction to chaos. 3rd ed. Zbl 1239.37001
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
2013
Affine manifolds with nilpotent holonomy. Zbl 0516.57014
Fried, David; Goldman, William; Hirsch, Morris W.
1981
Systems of differential equations that are competitive or cooperative. IV: Structural stability in three-dimensional systems. Zbl 0734.34042
Hirsch, Morris W.
1990
Stability regions of nonlinear autonomous dynamical systems. Zbl 0639.93043
Chiang, Hsiao-Dong; Hirsch, Morris W.; Wu, Felix F.
1988
Differential equations and convergence almost everywhere in strongly monotone semiflows. Zbl 0523.58034
Hirsch, Morris W.
1983
Mixed equilibria and dynamical systems arising from fictitious play in perturbed games. Zbl 1002.91005
Benaïm, Michel; Hirsch, Morris W.
1999
Smoothings of piecewise linear manifolds. Zbl 0298.57007
Hirsch, Morris W.; Mazur, Barry
1974
Monotone maps: a review. Zbl 1080.37016
Hirsch, M. W.; Smith, Hal
2005
On algorithms for solving f(x)=0. Zbl 0408.65032
Hirsch, Morris W.; Smale, Stephen
1979
Systems of differential equations that are competitive or cooperative. V: Convergence in 3-dimensional systems. Zbl 0712.34045
Hirsch, Morris W.
1989
Asymptotic pseudotrajectories and chain recurrent flows, with applications. Zbl 0878.58053
Benaïm, Michel; Hirsch, Morris W.
1996
Systems of differential equations that are competitive or cooperative. VI: A local $$C^ r$$ closing lemma for three-dimensional systems. Zbl 0747.34027
Hirsch, Morris W.
1991
On existence and uniqueness of the carrying simplex for competitive dynamical systems. Zbl 1152.92026
Hirsch, Morris W.
2008
Foliated bundles, invariant measures and flat manifolds. Zbl 0321.57015
Hirsch, Morris W.; Thurston, William P.
1975
Smoothness of horocycle foliations. Zbl 0312.58008
Hirsch, Morris W.; Pugh, Charles C.
1975
On imbedding differentiable manifolds in Euclidean space. Zbl 0123.16701
Hirsch, Morris W.
1961
The radiance obstruction and parallel forms on affine manifolds. Zbl 0561.57014
Goldman, William; Hirsch, Morris W.
1984
On the existence and classification of differentiable embeddings. Zbl 0113.38607
Haefliger, A.; Hirsch, M.
1963
Immersions in the stable range. Zbl 0186.27301
Haefliger, A.; Hirsch, M. W.
1962
Smooth regular neighborhoods. Zbl 0151.32604
Hirsch, M. W.
1962
Obstruction theories for smoothing manifolds and maps. Zbl 0112.14602
Hirsch, M. W.
1963
Asymptotically stable equilibria for monotone semiflows. Zbl 1110.37061
Hirsch, M. W.; Smith, H. L.
2006
Stable manifolds for hyperbolic sets. Zbl 0199.27103
Hirsch, M. W.; Pugh, C. C.
1969
Competitive and cooperative systems: mini-review. Zbl 1134.92358
Hirsch, Morris W.; Smith, Hal L.
2003
Affine manifolds and orbits of algebraic groups. Zbl 0591.57013
Goldman, William M.; Hirsch, Morris W.
1986
Embeddings and compressions of polyhedra and smooth manifolds. Zbl 0142.22102
Hirsch, M. W.
1966
A proof of the nonretractibility of a cell onto its boundary. Zbl 0113.16704
Hirsch, M. W.
1963
The imbedding of bounding manifolds in Euclidean space. Zbl 0102.38604
Hirsch, Morris W.
1961
Stochastic approximation algorithms with constant step size whose average is cooperative. Zbl 0983.62046
Benaïm, Michel; Hirsch, Morris W.
1999
Foliations and noncompact transformation groups. Zbl 0226.58008
Hirsch, Morris W.
1970
Some curious involutions of spheres. Zbl 0201.25601
Hirsch, M. W.; Milnor, John W.
1964
On combinatorial submanifolds of differentiable manifolds. Zbl 0101.16101
Hirsch, Morris W.
1961
Phenomenology of dark matter from $$A_{4}$$ flavor symmetry. Zbl 1296.81156
Boucenna, M. S.; Hirsch, M.; Morisi, S.; Peinado, E.; Taoso, M.; Valle, J. W. F.
2011
Positive equilibria and convergence in subhomogeneous monotone dynamics. Zbl 0822.47051
Hirsch, Morris W.
1994
Anosov maps, polycyclic groups and homology. Zbl 0211.26801
Hirsch, M. W.
1971
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher
1994
Dynamics of Morse-Smale urn processes. Zbl 0846.60054
Benaim, Michel; Hirsch, Morris W.
1995
Cohomology of chain recurrent sets. Zbl 0643.54039
Hirsch, Morris W.; Pugh, Charles C.
1988
Polynomial forms on affine manifolds. Zbl 0522.57022
Goldman, William M.; Hirsch, Morris W.
1982
Prevalent behavior of strongly order preserving semiflows. Zbl 1178.37014
Enciso, Germán A.; Hirsch, Morris W.; Smith, Hal L.
2008
Fixed points of analytic actions of supersoluble Lie groups on compact surfaces. Zbl 0992.57010
Hirsch, Morris W.; Weinstein, Alan
2001
Chain transitive sets for smooth strongly monotone dynamical systems. Zbl 0943.54026
Hirsch, Morris W.
1999
A stable analytic foliation with only exceptional minimal sets. Zbl 0309.53053
Hirsch, M.
1975
Stability of compact leaves of foliations. Zbl 0272.57015
Hirsch, Morris W.
1973
Scissor congruence. Zbl 0171.43002
Dubbins, L.; Hirsch, M. W.; Karush, J.
1963
Attractors in coherent systems of differential equations. Zbl 1172.34036
Angeli, David; Hirsch, Morris W.; Sontag, Eduardo D.
2009
A generalization of Bieberbach’s theorem. Zbl 0469.53037
Goldman, William M.; Hirsch, Morris W.
1981
Affine manifolds and solvable groups. Zbl 0454.57006
Fried, D.; Goldman, W.; Hirsch, M. W.
1980
On non-linear cell bundles. Zbl 0178.57301
Hirsch, M. W.
1966
On involutions of the 3-sphere. Zbl 0090.39204
Hirsch, Morris W.; Smale, Stephen
1959
Generic quasi-convergence for strongly order preserving semiflows: a new approach. Zbl 1074.34042
Hirsch, Morris W.; Smith, Hal L.
2004
Attractors for discrete-time monotone dynamical systems in strongly ordered spaces. Zbl 0588.58034
Hirsch, Morris W.
1985
Stability of stationary points and cohomology of groups. Zbl 0443.57026
Hirsch, Morris W.
1980
Expanding maps and transformation groups. Zbl 0223.58009
Hirsch, Morris W.
1970
On normal microbundles. Zbl 0148.17601
Hirsch, Moris W.
1966
Hefty MSSM-like light Higgs in extended gauge models. Zbl 1309.81329
Hirsch, M.; Malinský, M.; Porod, W.; Reichert, L.; Staub, F.
2012
LHC and lepton flavour violation phenomenology of a left-right extension of the MSSM. Zbl 1294.81337
Esteves, J. N.; Romao, J. C.; Hirsch, M.; Vicente, A.; Porod, W.; Staub, F.
2010
Weak limit sets of differential equations. Zbl 0888.34054
Hirsch, Morris W.
1997
Flat bundles with solvable holonomy. Zbl 0474.55014
Goldman, William M.; Hirsch, Morris W.
1981
On invariant subsets of hyperbolic sets. Zbl 0193.52402
Hirsch, Morris W.
1970
On tubular neighbourhoods of manifolds. I, II. Zbl 0151.32701
Hirsch, M. W.
1966
Engulfing. Zbl 0142.22101
Hirsch, M. W.; Zeeman, E. C.
1966
Proposal for generalised supersymmetry Les Houches accord for see-saw models and PDG numbering scheme. Zbl 1302.81007
Basso, L.; Belyaev, A.; Chowdhury, D.; Hirsch, M.; Khalil, S.; Moretti, S.; O’Leary, B.; Porod, W.; Staub, F.
2013
Smooth actions of Lie groups and Lie algebras on manifolds. Zbl 1257.57037
Hirsch, Morris W.
2011
Topology of fixed point sets of surface homeomorphisms. Zbl 0995.37012
Hirsch, Morris W.
2000
Connected components of attractors and other stable sets. Zbl 0877.58039
Hirsch, Morris W.; Hurley, Mike
1997
Fixed points of monotone maps. Zbl 0840.34041
Hirsch, Morris W.
1995
Asymptotic phase, shadowing and reaction-diffusion systems. Zbl 0795.93055
Hirsch, Morris W.
1994
Foliations that are not approximable by smoother ones. Zbl 0526.57018
Ennis, Christopher; Hirsch, Morris W.; Pugh, Charles
1983
Invariant measures for affine foliations. Zbl 0534.57014
Goldman, William M.; Hirsch, Morris W.; Levitt, Gilbert
1982
Differential topology. (Differentsial’naya topologiya). Transl. from the English by D. B. Fuks. Zbl 0446.57001
Hirsch, Morris
1979
Surgery on piecewise linear manifolds and applications. Zbl 0149.20603
Browder, W.; Hirsch, M. W.
1966
On tangential equivalence of manifolds. Zbl 0137.17704
Hirsch, M. W.
1966
On the fibre homotopy type of normal bundles. Zbl 0129.39403
Hirsch, M. W.
1965
Common zeroes of families of smooth vector fields on surfaces. Zbl 1395.57038
Hirsch, Morris W.
2016
Smale strategies for network prisoner’s dilemma games. Zbl 1360.91025
Hirsch, Morris W.; Benaïm, Michel; Behrstock, Kashi
2015
Actions of Lie groups and Lie algebras on manifolds. Zbl 1202.57029
Hirsch, Morris W.
2010
Jacobians and branch points of real analytic open maps. Zbl 1055.26024
Hirsch, Morris W.
2002
Fixed-point indices, homoclinic contacts, and dynamics of injective planar maps. Zbl 0978.37035
Hirsch, Morris W.
2000
Differential and stochastic epidemic models. Zbl 0916.58040
Benaïm, Michel; Hirsch, Morris W.
1999
Chain recurrence in surface flows. Zbl 0871.58062
Benaïm, Michel; Hirsch, Morris W.
1995
The work of Stephen Smale in differential topology. Zbl 0804.57001
Hirsch, Morris W.
1993
From topology to computation: Proceedings of the Smalefest. Papers presented at the conference ”From topology to computation: Unity and diversity in the mathematical sciences” held at the University of California at Berkeley, USA, August 5-9, 1990 in honor of Stephen Smale’s 60th birthday. Zbl 0779.00016
Hirsch, M. W. (ed.); Marsden, J. E. (ed.); Shub, M. (ed.)
1993
The chaos of dynamical systems. Zbl 0566.58023
Hirsch, Morris W.
1985
Zero sets of Lie algebras of analytic vector fields on real and complex two-dimensional manifolds. Zbl 1414.32012
Hirsch, Morris W.; Turiel, F.-J.
2019
Fixed points of local actions of nilpotent Lie groups on surfaces. Zbl 1369.37026
Hirsch, Morris W.
2017
Common zeroes of families of smooth vector fields on surfaces. Zbl 1395.57038
Hirsch, Morris W.
2016
Smale strategies for network prisoner’s dilemma games. Zbl 1360.91025
Hirsch, Morris W.; Benaïm, Michel; Behrstock, Kashi
2015
Fixed points of local actions of Lie groups on real and complex 2-manifolds. Zbl 1415.37023
Hirsch, Morris W.
2015
Differential equations, dynamical systems, and an introduction to chaos. 3rd ed. Zbl 1239.37001
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
2013
Proposal for generalised supersymmetry Les Houches accord for see-saw models and PDG numbering scheme. Zbl 1302.81007
Basso, L.; Belyaev, A.; Chowdhury, D.; Hirsch, M.; Khalil, S.; Moretti, S.; O’Leary, B.; Porod, W.; Staub, F.
2013
Hefty MSSM-like light Higgs in extended gauge models. Zbl 1309.81329
Hirsch, M.; Malinský, M.; Porod, W.; Reichert, L.; Staub, F.
2012
Supersymmetric mass spectra and the seesaw type-I scale. Zbl 1309.81308
Arbeláez, C.; Hirsch, M.; Reichert, L.
2012
Phenomenology of dark matter from $$A_{4}$$ flavor symmetry. Zbl 1296.81156
Boucenna, M. S.; Hirsch, M.; Morisi, S.; Peinado, E.; Taoso, M.; Valle, J. W. F.
2011
Smooth actions of Lie groups and Lie algebras on manifolds. Zbl 1257.57037
Hirsch, Morris W.
2011
LHC and lepton flavour violation phenomenology of a left-right extension of the MSSM. Zbl 1294.81337
Esteves, J. N.; Romao, J. C.; Hirsch, M.; Vicente, A.; Porod, W.; Staub, F.
2010
Actions of Lie groups and Lie algebras on manifolds. Zbl 1202.57029
Hirsch, Morris W.
2010
Attractors in coherent systems of differential equations. Zbl 1172.34036
Angeli, David; Hirsch, Morris W.; Sontag, Eduardo D.
2009
On existence and uniqueness of the carrying simplex for competitive dynamical systems. Zbl 1152.92026
Hirsch, Morris W.
2008
Prevalent behavior of strongly order preserving semiflows. Zbl 1178.37014
Enciso, Germán A.; Hirsch, Morris W.; Smith, Hal L.
2008
Asymptotically stable equilibria for monotone semiflows. Zbl 1110.37061
Hirsch, M. W.; Smith, H. L.
2006
Monotone dynamical systems. Zbl 1094.34003
Hirsch, M. W.; Smith, Hal
2005
Monotone maps: a review. Zbl 1080.37016
Hirsch, M. W.; Smith, Hal
2005
Differential equations, dynamical systems, and an introduction to chaos. 2nd ed. Zbl 1135.37002
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
2004
Generic quasi-convergence for strongly order preserving semiflows: a new approach. Zbl 1074.34042
Hirsch, Morris W.; Smith, Hal L.
2004
Competitive and cooperative systems: mini-review. Zbl 1134.92358
Hirsch, Morris W.; Smith, Hal L.
2003
Common fixed points for two commuting surface homeomorphisms. Zbl 1155.37320
Hirsch, Morris W.
2003
Jacobians and branch points of real analytic open maps. Zbl 1055.26024
Hirsch, Morris W.
2002
Chain transitivity, attractivity, and strong repellors for semidynamical systems. Zbl 1129.37306
Hirsch, Morris W.; Smith, Hal L.; Zhao, Xiao-Qiang
2001
Fixed points of analytic actions of supersoluble Lie groups on compact surfaces. Zbl 0992.57010
Hirsch, Morris W.; Weinstein, Alan
2001
Topology of fixed point sets of surface homeomorphisms. Zbl 0995.37012
Hirsch, Morris W.
2000
Fixed-point indices, homoclinic contacts, and dynamics of injective planar maps. Zbl 0978.37035
Hirsch, Morris W.
2000
Periodic orbits and homoclinic loops for surface homeomorphisms. Zbl 0987.37031
Hirsch, Morris W.
2000
Mixed equilibria and dynamical systems arising from fictitious play in perturbed games. Zbl 1002.91005
Benaïm, Michel; Hirsch, Morris W.
1999
Stochastic approximation algorithms with constant step size whose average is cooperative. Zbl 0983.62046
Benaïm, Michel; Hirsch, Morris W.
1999
Chain transitive sets for smooth strongly monotone dynamical systems. Zbl 0943.54026
Hirsch, Morris W.
1999
Differential and stochastic epidemic models. Zbl 0916.58040
Benaïm, Michel; Hirsch, Morris W.
1999
Weak limit sets of differential equations. Zbl 0888.34054
Hirsch, Morris W.
1997
Connected components of attractors and other stable sets. Zbl 0877.58039
Hirsch, Morris W.; Hurley, Mike
1997
Asymptotic pseudotrajectories and chain recurrent flows, with applications. Zbl 0878.58053
Benaïm, Michel; Hirsch, Morris W.
1996
Dynamics of Morse-Smale urn processes. Zbl 0846.60054
Benaim, Michel; Hirsch, Morris W.
1995
Fixed points of monotone maps. Zbl 0840.34041
Hirsch, Morris W.
1995
Chain recurrence in surface flows. Zbl 0871.58062
Benaïm, Michel; Hirsch, Morris W.
1995
Positive equilibria and convergence in subhomogeneous monotone dynamics. Zbl 0822.47051
Hirsch, Morris W.
1994
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher
1994
Asymptotic phase, shadowing and reaction-diffusion systems. Zbl 0795.93055
Hirsch, Morris W.
1994
The qualitative analysis of a dynamical system modeling the formation of multilayer scales on pure metals. Zbl 0807.34044
Akuezue, H. C.; Baker, R. L.; Hirsch, M. W.
1994
The work of Stephen Smale in differential topology. Zbl 0804.57001
Hirsch, Morris W.
1993
From topology to computation: Proceedings of the Smalefest. Papers presented at the conference ”From topology to computation: Unity and diversity in the mathematical sciences” held at the University of California at Berkeley, USA, August 5-9, 1990 in honor of Stephen Smale’s 60th birthday. Zbl 0779.00016
Hirsch, M. W. (ed.); Marsden, J. E. (ed.); Shub, M. (ed.)
1993
Automorphisms of compact affine varieties. Zbl 0929.57025
Hirsch, Morris W.
1993
Systems of differential equations that are competitive or cooperative. VI: A local $$C^ r$$ closing lemma for three-dimensional systems. Zbl 0747.34027
Hirsch, Morris W.
1991
Saturated outputs for high-gain, self-exciting networks. Zbl 0764.92005
Hirsch, Morris W.
1991
Systems of differential equations that are competitive or cooperative. IV: Structural stability in three-dimensional systems. Zbl 0734.34042
Hirsch, Morris W.
1990
Systems of differential equations that are competitive or cooperative. V: Convergence in 3-dimensional systems. Zbl 0712.34045
Hirsch, Morris W.
1989
A note on the differential equations of Gleick-Lorenz. Zbl 0692.34035
Hirsch, Morris W.
1989
Stability and convergence in strongly monotone dynamical systems. Zbl 0624.58017
Hirsch, Morris W.
1988
Systems of differential equations which are competitive or cooperative. III: Competing species. Zbl 0658.34024
Hirsch, Morris W.
1988
Stability regions of nonlinear autonomous dynamical systems. Zbl 0639.93043
Chiang, Hsiao-Dong; Hirsch, Morris W.; Wu, Felix F.
1988
Cohomology of chain recurrent sets. Zbl 0643.54039
Hirsch, Morris W.; Pugh, Charles C.
1988
Foliations of planar regions and CCR $$C^ *$$ algebras with infinite composition length. Zbl 0647.46045
Hirsch, Morris W.; Wang, Xiaolu
1987
Affine manifolds and orbits of algebraic groups. Zbl 0591.57013
Goldman, William M.; Hirsch, Morris W.
1986
Systems of differential equations that are competitive or cooperative. II: Convergence almost everywhere. Zbl 0658.34023
Hirsch, Morris W.
1985
Attractors for discrete-time monotone dynamical systems in strongly ordered spaces. Zbl 0588.58034
Hirsch, Morris W.
1985
The chaos of dynamical systems. Zbl 0566.58023
Hirsch, Morris W.
1985
The dynamical systems approach to differential equations. Zbl 0541.34026
Hirsch, Morris W.
1984
The radiance obstruction and parallel forms on affine manifolds. Zbl 0561.57014
Goldman, William; Hirsch, Morris W.
1984
Differential equations and convergence almost everywhere in strongly monotone semiflows. Zbl 0523.58034
Hirsch, Morris W.
1983
Foliations that are not approximable by smoother ones. Zbl 0526.57018
Ennis, Christopher; Hirsch, Morris W.; Pugh, Charles
1983
Systems of differential equations which are competitive or cooperative. I: Limit sets. Zbl 0494.34017
Hirsch, Morris W.
1982
Polynomial forms on affine manifolds. Zbl 0522.57022
Goldman, William M.; Hirsch, Morris W.
1982
Invariant measures for affine foliations. Zbl 0534.57014
Goldman, William M.; Hirsch, Morris W.; Levitt, Gilbert
1982
Affine manifolds with nilpotent holonomy. Zbl 0516.57014
Fried, David; Goldman, William; Hirsch, Morris W.
1981
A generalization of Bieberbach’s theorem. Zbl 0469.53037
Goldman, William M.; Hirsch, Morris W.
1981
Flat bundles with solvable holonomy. Zbl 0474.55014
Goldman, William M.; Hirsch, Morris W.
1981
Affine manifolds and solvable groups. Zbl 0454.57006
Fried, D.; Goldman, W.; Hirsch, M. W.
1980
Stability of stationary points and cohomology of groups. Zbl 0443.57026
Hirsch, Morris W.
1980
On algorithms for solving f(x)=0. Zbl 0408.65032
Hirsch, Morris W.; Smale, Stephen
1979
Differential topology. (Differentsial’naya topologiya). Transl. from the English by D. B. Fuks. Zbl 0446.57001
Hirsch, Morris
1979
Stability of stationary points of group actions. Zbl 0381.57014
Hirsch, Morris W.
1979
Invariant manifolds. Zbl 0355.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
1977
Differential topology. Zbl 0356.57001
Hirsch, Morris W.
1976
Foliated bundles, invariant measures and flat manifolds. Zbl 0321.57015
Hirsch, Morris W.; Thurston, William P.
1975
Smoothness of horocycle foliations. Zbl 0312.58008
Hirsch, Morris W.; Pugh, Charles C.
1975
A stable analytic foliation with only exceptional minimal sets. Zbl 0309.53053
Hirsch, M.
1975
Foliated bundles, flat manifolds and invariant measures. Zbl 0305.57022
Hirsch, M.
1975
Differential equations, dynamical systems, and linear algebra. Zbl 0309.34001
Hirsch, Morris W.; Smale, Stephen
1974
Smoothings of piecewise linear manifolds. Zbl 0298.57007
Hirsch, Morris W.; Mazur, Barry
1974
Stability of compact leaves of foliations. Zbl 0272.57015
Hirsch, Morris W.
1973
Anosov maps, polycyclic groups and homology. Zbl 0211.26801
Hirsch, M. W.
1971
Stable manifolds and hyperbolic sets. Zbl 0215.53001
Hirsch, M. W.; Pugh, C. C.
1970
Invariant manifolds. Zbl 0226.58009
Hirsch, M. W.; Pugh, C. C.; Shub, M.
1970
Neighborhoods of hyperbolic sets. Zbl 0191.21701
Hirsch, M.; Palis, J.; Pugh, C.; Shub, M.
1970
Foliations and noncompact transformation groups. Zbl 0226.58008
Hirsch, Morris W.
1970
Expanding maps and transformation groups. Zbl 0223.58009
Hirsch, Morris W.
1970
On invariant subsets of hyperbolic sets. Zbl 0193.52402
Hirsch, Morris W.
1970
Stable manifolds for hyperbolic sets. Zbl 0199.27103
Hirsch, M. W.; Pugh, C. C.
1969
Embeddings and compressions of polyhedra and smooth manifolds. Zbl 0142.22102
Hirsch, M. W.
1966
On non-linear cell bundles. Zbl 0178.57301
Hirsch, M. W.
1966
On normal microbundles. Zbl 0148.17601
Hirsch, Moris W.
1966
On tubular neighbourhoods of manifolds. I, II. Zbl 0151.32701
Hirsch, M. W.
1966
Engulfing. Zbl 0142.22101
Hirsch, M. W.; Zeeman, E. C.
1966
Surgery on piecewise linear manifolds and applications. Zbl 0149.20603
Browder, W.; Hirsch, M. W.
1966
On tangential equivalence of manifolds. Zbl 0137.17704
Hirsch, M. W.
1966
On the fibre homotopy type of normal bundles. Zbl 0129.39403
Hirsch, M. W.
1965
...and 18 more Documents
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#### Cited by 4,721 Authors

 44 Jiang, Jifa 38 Hirsch, Morris W. 32 Morales, Carlos Arnoldo 24 Smith, Hal Leslie 23 de la Llave, Rafael 20 Kulenović, Mustafa R. S. 18 Zhao, Xiao-Qiang 17 Llibre, Jaume 17 Niu, Lei 17 Wu, Jianhong 17 Zhang, Weinian 16 Benaïm, Michel 16 Sontag, Eduardo D. 16 Wang, Yi 15 Pugh, Charles Chapman 15 Robinson, Clark 15 Shub, Michael 14 Gyllenberg, Mats 14 Lu, Kening 13 Goldman, William M. 12 Baigent, Stephen A. 12 Liu, Weishi 11 Bonatti, Christian 11 Grines, Vyacheslav Zigmundovich 11 Kucharz, Wojciech 11 Viana, Marcelo 11 Wang, Feng-Bin 11 Wang, Wendi 10 Dekimpe, Karel 10 Enciso, Germán Andrés 10 Katok, Anatole B. 10 Mierczyński, Janusz 10 Potrie, Rafael 10 Schreiber, Sebastian J. 10 Segev, Reuven 10 Sell, George Roger 10 Waltman, Paul Elvis 10 Yang, Jiagang 9 Angeli, David 9 De Leenheer, Patrick 9 Fiedler, Bernold 9 Hofbauer, Josef 9 Hsu, Szebi 9 Huang, Lihong 9 Jongen, Hubertus Th. 9 Obaya, Rafael 9 Pacifico, Maria José 9 Peralta-Salas, Daniel 9 Pochinka, Olga Vital’evna 9 Smale, Steve 9 Stoyanov, Luchezar N. 9 Straughan, Brian 9 Xiao, Dongmei 9 Yi, Taishan 8 Bautista, Serafín 8 Graça, Daniel Silva 8 Hale, Jack Kenneth 8 Hou, Zhanyuan 8 Li, Ming-Chia 8 Lu, Zhengyi 8 Tineo, Antonio R. 8 Wiggins, Stephen 7 Araújo, Vítor 7 Bates, Peter W. 7 Berrick, A. Jon 7 Broer, Henk W. 7 Chen, Lansun 7 Chicone, Carmen C. 7 Chow, Shui-Nee 7 Danca, Marius-Florin 7 Dolgopyat, Dmitry 7 Fontich, Ernest 7 Gogolev, Andrey 7 Newhouse, Sheldon E. 7 Pesin, Yakov Borisovich 7 Pilav, Esmir 7 Pujals, Enrique Ramiro 7 Ruelle, David Pierre 7 Sanchez, Luis Angel 7 Sanz, Ana M. 7 Skopenkov, Arkadiĭ Borisovich 7 Yan, Ping 7 Yu, Jian-She 6 Allen, Beth 6 Arbieto, Alexander 6 Arutyunov, Aram Vladimirovic 6 Berger, Pierre 6 Broglia, Fabrizio 6 Chaperon, Marc 6 Chua, Leon Ong 6 Dancer, Edward Norman 6 Dumortier, Freddy 6 Enciso, Alberto 6 Fried, David 6 Fudenberg, Drew 6 Gan, Shaobo 6 Garay, Barnabas M. 6 Greene, Robert Everist 6 Gromov, Mikhael Leonidovich 6 Hammerlindl, Andy ...and 4,621 more Authors
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#### Cited in 498 Serials

 237 Journal of Differential Equations 167 Transactions of the American Mathematical Society 107 Proceedings of the American Mathematical Society 105 Journal of Mathematical Analysis and Applications 97 Topology and its Applications 75 Physica D 65 Journal of Mathematical Biology 57 Ergodic Theory and Dynamical Systems 56 Journal of Mathematical Economics 54 Mathematical Biosciences 54 Inventiones Mathematicae 53 Communications in Mathematical Physics 53 Applied Mathematics and Computation 53 Nonlinear Analysis. Theory, Methods & Applications 52 Discrete and Continuous Dynamical Systems 51 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 50 Journal of Economic Theory 49 Journal of Dynamics and Differential Equations 45 Advances in Mathematics 44 Bulletin of the American Mathematical Society 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 35 Mathematische Zeitschrift 34 Bulletin of Mathematical Biology 34 Annales de l’Institut Fourier 32 Linear Algebra and its Applications 30 Geometriae Dedicata 30 Mathematische Annalen 30 Journal of Difference Equations and Applications 30 Nonlinear Analysis. Real World Applications 29 Chaos, Solitons and Fractals 29 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 29 Automatica 29 Systems & Control Letters 26 Computers & Mathematics with Applications 25 Games and Economic Behavior 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 24 Bulletin of the American Mathematical Society. New Series 24 Algebraic & Geometric Topology 23 Israel Journal of Mathematics 23 Geometry & Topology 22 Publications Mathématiques 21 Archive for Rational Mechanics and Analysis 21 Journal of Functional Analysis 21 Journal of Economic Dynamics & Control 18 Discrete and Continuous Dynamical Systems. Series B 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 International Journal of Control 17 Theoretical Computer Science 17 Chaos 17 SIAM Journal on Applied Dynamical Systems 16 Nonlinearity 16 Rocky Mountain Journal of Mathematics 16 Journal of Optimization Theory and Applications 16 Differential Geometry and its Applications 16 Nonlinear Dynamics 16 Journal of Theoretical Biology 15 Journal of Mathematical Physics 15 Duke Mathematical Journal 15 Journal of Computational and Applied Mathematics 15 Manuscripta Mathematica 15 Acta Applicandae Mathematicae 15 Dynamical Systems 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Annals of Global Analysis and Geometry 14 Applied Mathematics Letters 14 Journal of Mathematical Sciences (New York) 14 Communications in Nonlinear Science and Numerical Simulation 14 Qualitative Theory of Dynamical Systems 14 Journal of Biological Dynamics 13 Mathematical and Computer Modelling 12 Computer Methods in Applied Mechanics and Engineering 12 Journal of Statistical Physics 12 Physics Letters. A 12 Journal of Geometry and Physics 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Stochastic Processes and their Applications 12 Annales Henri Poincaré 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Archiv der Mathematik 11 The Annals of Applied Probability 11 Journal of Nonlinear Science 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Annals of Mathematics. Second Series 11 Regular and Chaotic Dynamics 11 Advances in Difference Equations 10 Theoretical Population Biology 10 Tohoku Mathematical Journal. Second Series 10 International Journal of Mathematics 10 Economic Theory 10 Proceedings of the Steklov Institute of Mathematics 9 Mathematical Notes 9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 9 Monatshefte für Mathematik 9 Journal of the American Mathematical Society 9 The Journal of Geometric Analysis 9 Journal of the European Mathematical Society (JEMS) 9 Bulletin of the Brazilian Mathematical Society. New Series 9 Journal of Modern Dynamics 9 International Journal of Biomathematics 9 Science China. Mathematics ...and 398 more Serials
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#### Cited in 62 Fields

 1,426 Dynamical systems and ergodic theory (37-XX) 874 Ordinary differential equations (34-XX) 645 Biology and other natural sciences (92-XX) 548 Manifolds and cell complexes (57-XX) 345 Differential geometry (53-XX) 334 Partial differential equations (35-XX) 312 Global analysis, analysis on manifolds (58-XX) 299 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 234 Systems theory; control (93-XX) 176 Algebraic topology (55-XX) 175 Numerical analysis (65-XX) 124 Probability theory and stochastic processes (60-XX) 116 Mechanics of particles and systems (70-XX) 101 Computer science (68-XX) 94 Operations research, mathematical programming (90-XX) 91 General topology (54-XX) 89 Operator theory (47-XX) 86 Several complex variables and analytic spaces (32-XX) 76 Difference and functional equations (39-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 72 Quantum theory (81-XX) 66 Fluid mechanics (76-XX) 63 Topological groups, Lie groups (22-XX) 60 Algebraic geometry (14-XX) 53 Measure and integration (28-XX) 51 Statistical mechanics, structure of matter (82-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 47 Functional analysis (46-XX) 47 Mechanics of deformable solids (74-XX) 42 Relativity and gravitational theory (83-XX) 39 Statistics (62-XX) 38 Real functions (26-XX) 37 Group theory and generalizations (20-XX) 35 Functions of a complex variable (30-XX) 29 Combinatorics (05-XX) 27 Information and communication theory, circuits (94-XX) 25 Mathematical logic and foundations (03-XX) 25 Classical thermodynamics, heat transfer (80-XX) 24 Convex and discrete geometry (52-XX) 22 Nonassociative rings and algebras (17-XX) 22 Optics, electromagnetic theory (78-XX) 17 General and overarching topics; collections (00-XX) 17 $$K$$-theory (19-XX) 14 Category theory; homological algebra (18-XX) 13 History and biography (01-XX) 13 Approximations and expansions (41-XX) 13 Integral equations (45-XX) 12 Number theory (11-XX) 9 Geometry (51-XX) 8 Geophysics (86-XX) 7 Field theory and polynomials (12-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Associative rings and algebras (16-XX) 6 Special functions (33-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Potential theory (31-XX) 5 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Astronomy and astrophysics (85-XX) 2 Commutative algebra (13-XX) 2 Mathematics education (97-XX) 1 Sequences, series, summability (40-XX)

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