M. Hirsch

发表

Differential Equations, Dynamical Systems, and Linear Algebra

M. Hirsch, S. Smale, 1974 .

Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games

M. Hirsch, M. Benaïm, 1999 .

Systems of differential equations that are competitive or cooperative. VI: A local Cr Closing Lemma for 3-dimensional systems

M. Hirsch, 1985, Ergodic Theory and Dynamical Systems.

Systems of di erential equations which are competitive or cooperative I: limit sets

M. Hirsch, 1982 .

Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere

M. Hirsch, 1985 .

On Algorithms for Solving f(x)=0

M. Hirsch, S. Smale, 1979 .

A proof of the nonretractibility of a cell onto its boundary

M. Hirsch, 1963 .

Convergent activation dynamics in continuous time networks

Morris W. Hirsch, M. Hirsch, 1989, Neural Networks.

Systems of differential equations that are competitive or cooperative. VI: A local Cr Closing Lemma for 3-dimensional systems

M. Hirsch, 1985, Ergodic Theory and Dynamical Systems.

Stable manifolds for hyperbolic sets

M. Hirsch, C. Pugh, 1969 .

Stability and convergence in strongly monotone dynamical systems.

M. Hirsch, 1988 .

The dynamical systems approach to differential equations

M. Hirsch, 1984 .

Asymptotic pseudotrajectories and chain recurrent flows, with applications

M. Hirsch, M. Benaïm, 1996 .

Dynamics of Morse-Smale urn processes

M. Hirsch, M. Benaïm, 1995, Ergodic Theory and Dynamical Systems.

Learning Processes, Mixed Equilibria and Dynamical Systems Arising from Repeated Games

M. Hirsch, M. Benaim, 2010 .

4. Monotone Dynamical Systems

M. Hirsch, Hal L. Smith, 2005 .

Differential Equations, Dynamical Systems, and an Introduction to Chaos

M. Hirsch, S. Smale, R. Devaney, 2003 .

Stochastic approximation algorithms with constant step size whose average is cooperative

M. Hirsch, M. Benaïm, 1999 .

From Topology to Computation: Proceedings of the Smalefest

Jerrold E. Marsden, Stephen Smale, Michael Shub, 2011 .

Shorter Notes: A Proof of the Nonretractibility of a Cell Onto its Boundary

M. Hirsch, 1963 .

Discrete Dynamical Systems

M. Hirsch, S. Smale, R. Devaney, 2013 .

Chapter 4 Monotone Dynamical Systems

M. Hirsch, Hal L. Smith, 2006 .

The local theory of normally hyperbolic, invariant, compact manifolds

Michael Shub, Morris W. Hirsch, M. Hirsch, 1977 .

On existence and uniqueness of the carrying simplex for competitive dynamical systems

M. Hirsch, 2008, Journal of biological dynamics.

Monotone Flows with Dense Periodic Orbits

M. Hirsch, 2018, European Journal of Pure and Applied Mathematics.

Chain transitive sets for smooth strongly monotone dynamical systems

Morris W. Hirsch, M. Hirsch, 2012 .

Systems of differential equations that are competitive or cooperative. VI: A local Cr Closing Lemma for 3-dimensional systems

Morris W. Hirsch, M. Hirsch, 1991 .

Fixed Points of Monotone Maps

M. W. Hirsch, M. Hirsch, 1995 .

On the Nonchaotic Nature of Monotone Dynamical Systems

M. Hirsch, 2019, European Journal of Pure and Applied Mathematics.

Mathematics of Hebbian attractors

Morris W. Hirsch, M. Hirsch, 1995, Behavioral and Brain Sciences.

Monotone maps: A review

Morris W. Hirsch, M. Hirsch, Hal L. Smith, 2005 .

Learning Processes , Mixed Equilibria andDynamical Systems Arising fromRepeated

M. Hirsch, Toulouse, 1997 .

On non-linear cell bundles

M. Hirsch, 1966 .

Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80

M. Hirsch, B. Mazur, 1975 .

First-Order Equations

M. Hirsch, S. Smale, R. Devaney, 2013 .

A Generalization of Finite Group Theory to Finite Semigroups

Chrystopher L. Nehaniv, M. Hirsch, J. Rhodes, 2009 .

M ay 2 01 8 Monotone flows with dense periodic orbits

M. Hirsch, 2022 .

SYSTEMS OF DIFFERENTIAL EQUATIONS THAT ARE COMPETITIVE OR COOPERATIVE II: CONVERGENCE ALMOST EVERYWHERE*

M. Hirsch, 2022 .

Positive Equilibria and Convergence in Subhomogeneous Monotone Dynamics

M. Hirsch, 2020, Comparison methods and stability theory.

On Eigenvectors of Nilpotent Lie Algebras of Linear Operators

M. Hirsch, J. Robbin, 2006, European Journal of Pure and Applied Mathematics.

Responses to ``Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics'', by A. Jaffe and F. Quinn

Karen K. Uhlenbeck, M. Hirsch, B. Mandelbrot, 1994, math/9404229.

STABILITY OF STATIONARY POINTS AND COHOMOLOGY OF GROUPS

M. Hirsch, 1980 .

Responses to `Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics', by A. Jaffe and F. Quinn

Michael Atiyah, Benoit B. Mandelbrot, Morris W. Hirsch, 1994, math/9404229.

Fixed points of analytic actions of supersoluble Lie groups on compact surfaces

M. Hirsch, A. Weinstein, 2000, Ergodic Theory and Dynamical Systems.

Title THE QUALITATIVE ANALYSIS OF A DYNAMICAL SYSTEM MODELING THE FORMATION OF MULTILAYER SCALES ON PURE METALS Permalink

M. Hirsch, L. R., Bakers, 2022 .

Smooth actions of Lie groups and Lie algebras on manifolds

M. Hirsch, 2011, 1204.1689.

Automata Models and the Complexity of Finite State Machines

Chrystopher L. Nehaniv, Morris W Hirsch, John Rhodes, 2009 .

Saturation at high gain in discrete time recurrent networks

Morris W. Hirsch, M. Hirsch, 1994, Neural Networks.

On imbedding di erentiable manifolds in euclidean space

M. Hirsch, 1961 .

Immersions of manifolds

M. Hirsch, 1959 .

On-line training of a continually adapting adaline-like network

Morris W. Hirsch, M. Hirsch, 1997, Neurocomputing.

The work of Stephen Smale in differential topology

M. Hirsch, 1993 .

Periodic orbits and homoclinic loops for surface homeomorphisms.

M. Hirsch, 2005, math/0512223.

TOPOLOGY OF FIXED POINT SETS OF SURFACE HOMEOMORPHISMS

M. Hirsch, C. Hagopian, 2000 .

Afflne manilolds with nilpotent holonomy

M. Hirsch, David Fried, W. Goldman, 2007 .

Affine manifolds and orbits of algebraic groups

M. Hirsch, W. Goldman, 1986 .

The radiance obstruction and parallel forms on affine manifolds

M. Hirsch, W. Goldman, 1984 .

Affine manifolds with nilpotent holonomy

M. Hirsch, David Fried, W. Goldman, 1981 .

Chain Transitivity, Attractivity, and Strong Repellors for Semidynamical Systems

Xiao-Qiang Zhao, Morris W. Hirsch, M. Hirsch, 2001 .

Foliated Bundles, Invariant Measures and Flat Manifolds

M. Hirsch, W. Thurston, 1975 .

SMOOTH REGULAR NEIGHBORHOODS

M. Hirsch, 1962 .

Fixed points of local actions of nilpotent Lie groups on surfaces

M. Hirsch, 2014, Ergodic Theory and Dynamical Systems.

Polynomial forms on affine manifolds.

M. Hirsch, W. Goldman, 1982 .

Affine manifolds and solvable groups

M. Hirsch, David Fried, W. Goldman, 1980 .

Foliations and noncompact transformation groups

M. Hirsch, 1970 .

Invariant subsets of hyperbolic sets

M. Hirsch, 1971 .

Invariant measures for affine foliations

M. Hirsch, G. Levitt, W. Goldman, 1982 .

Stability of compact leaves of foliations

M. Hirsch, 1973 .

ON STABILITY OF STATIONARY POINTS OF TRANSFORMATION GROUPS

M. Hirsch, 1979 .

A neural network associative memory for handwritten character recognition using multiple Chua characters

Bill Baird, M. W. Hirsch, F. Eeckman, 1993 .

Common zeros of inward vector fields on surfaces

M. Hirsch, 2012, 1204.1301.

Actions of Lie groups and Lie algebras on manifolds - eScholarship

M. Hirsch, 2010 .

Existence and Uniqueness Revisited

M. Hirsch, S. Smale, R. Devaney, 2013 .

On piecewise regular n-knots

M. Hirsch, L. Neuwirth, 1964 .

Prevalent Behavior of Strongly Order Preserving Semiflows

M. Hirsch, Hal L. Smith, G. Enciso, 2006, math/0605202.

Generic Quasi-convergence for Strongly Order Preserving Semiflows: A New Approach

Morris W. Hirsch, M. Hirsch, Hal L. Smith, 2004 .

System of differential equations that are competitive or cooperative. IV: structural stability in three-dimensional systems

Morris W. Hirsch, M. Hirsch, 1990 .

Competitive and Cooperative Systems: A Mini-review

Hal L. Smith, Morris W. Hirsch, M. Hirsch, 2003, POSTA.

Cohomology of chain recurrent sets

M. Hirsch, C. Pugh, 1988, Ergodic Theory and Dynamical Systems.

Responses to: A. Jaffe and F. Quinn, “Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics” [Bull. Amer. Math. Soc. (N.S.) 29 (1993), no. 1, 1–13; MR1202292 (94h:00007)]

Michael Atiyah, Benoit B. Mandelbrot, Morris W. Hirsch, 1994 .

ON INVOLUTIONS OF THE 3-SPHERE.*

M. Hirsch, S. Smale, 1959 .

On the existence and classification of differentiable embeddings

M. Hirsch, A. Haefliger, 1963 .

Embeddings and compressions of polyhedra and smooth manifolds

M. Hirsch, 1966 .

On tangential equivalence of manifolds

M. Hirsch, 1966 .

Topology of 3-Manifolds and Related Topics.

Morris W. Hirsch, M. K. Fort, M. Hirsch, 1964 .

Attractors in coherent systems of differential equations

David Angeli, Eduardo D. Sontag, Morris W. Hirsch, 2007, 0710.3507.

Smoothness of horocycle foliations

M. Hirsch, C. Pugh, 1975 .

COMMON FIXED POINTS FOR TWO COMMUTING SURFACE HOMEOMORPHISMS

M. Hirsch, C. Jeffries, C. Hagopian, 2003 .

Immersions of manifolds

M. Hirsch, 1959 .

Computing with dynamic attractors in neural networks.

M W Hirsch, B Baird, M. Hirsch, 1995, Bio Systems.

The Imbedding of Bounding Manifolds in Euclidean Space

M. Hirsch, 1961 .

On embedding 4-manifolds in R7

M. Hirsch, 1965, Mathematical Proceedings of the Cambridge Philosophical Society.

Obstruction theories for smoothing manifolds and maps

M. Hirsch, 1963 .

On combinatorial submanifolds of differentiable manifolds

M. Hirsch, 1962 .

Smoothings of piecewise linear manifolds

M. Hirsch, B. Mazur, 1974 .

Some curious involutions of spheres

M. Hirsch, J. Milnor, 1964 .

Flat bundles with solvable holonomy

M. Hirsch, W. Goldman, 1981 .

Immersions of almost parallelizable manifolds

M. Hirsch, 1961 .

Control of noradrenergic differentiation and Phox2a expression by MASH1 in the central and peripheral nervous system.

M. Hirsch, F. Guillemot, C. Goridis, 1998, Development.

Smale Strategies for Network Prisoner's Dilemma Games

Morris W. Hirsch, Michel Benaim, M. Hirsch, 2015, 1503.08481.

Zero sets of Lie algebras of analytic vector fields on real and complex two-dimensional manifolds

M. Hirsch, F. Turiel, 2016, Ergodic Theory and Dynamical Systems.

Zero sets of Abelian Lie algebras of vector fields

M. Hirsch, 2016, 1601.02992.

Fixed Points of Local Actions of Lie Groups on Real and Complex 2-Manifolds

Morris W. Hirsch, M. Hirsch, 2015, Axioms.

Zero sets of Lie algebras of analytic vector fields on real and complex 2-manifolds

M. Hirsch, 2013, 1310.0081.

Degrees, Intersection Numbers, and the Euler Characteristic

M. Hirsch, 1976 .

ON IMBEDDING DIFFERENTIABLE MANIFOLDS

M. Hirsch, 2016 .

On tubular neighbourhoods of manifolds. II

M. Hirsch, 1966, Mathematical Proceedings of the Cambridge Philosophical Society.

On tubular neighbourhoods of manifolds. I

M. Hirsch, 1966, Mathematical Proceedings of the Cambridge Philosophical Society.

ON NORMAL MICROBUNDLES

M. Hirsch, 1966 .

On Involutions of the 3-Sphere Author ( s ) :

M. Hirsch, S. Smale, 2017 .

Stochastic Adaptive Behavior forPrisoner ' s

M. Hirsch, Toulouse, 2007 .

An Exact Sequence in Differential Topology

M. Hirsch, 1960 .

THE IMBEDDING OF BOUNDING MANIFOLDS IN

M. Hirsch, 2016 .

Karen K. Uhlenbeck, M. Hirsch, B. Mandelbrot, 1994 .

On the product of a contractible topological manifold and a cell

M. Hirsch, 1962 .

SYSTEMS OF DIFFERENTIALEQUATIONS THATARE COMPETITIVEORCOOPERATIVE II: CONVERGENCEALMOSTEVERYWHERE*

M. Hirsch, 1985 .

Neighborhoods of hyperbolic sets

Michael Shub, Morris W. Hirsch, Jacob Palis, 1970 .

Stability of stationary points of group actions

M. Hirsch, 1979 .

Attractors in coherent systems of differential equations

M. Hirsch, Eduardo Sontag, D. Angeli, 2009 .

A note on the differential equations of Gleick-Lorenz

M. Hirsch, 1989 .

FOLIATIONS OF PLANAR REGIONS AND CCR C* ALGEBRAS WITH INFINITE COMPOSITION LENGTH

M. Hirsch, Xiaolu Wang, 1987 .