Edwin Henry Spanier, Morris W. Hirsch, Edwin Spanier, Edwin Henry, Spanier Died, Born In, ...
he was graduated from the University
On existence and uniqueness of the carrying simplex for competitive dynamical systems (2008)
Certain dynamical models of competition have a unique invariant hypersurface to whichevery nonzero tractory is asymptotic, having simple geometry and topology.
Families of Morse Functions Parameterized by Maxima (2007)
Michael Hirsch Emory, Michael D. Hirsch, Morris W. Hirsch
We show there is no continuous map which assigns to each unordered triple of distinct points in the interior of the closed 2-disk a Morse function having maxima at those three points only and no...
Stochastic Adaptive Behavior for Prisoner's Dilemma (2007)
Michel Benaim, Morris W. Hirsch
Introduction Consider a symmetric Prisoner's Dilemma game. Each player has two possible plays: Cooperate (play 1) or Defect (play 2). If both players cooperate, each receives a; if both defect,...
Edwin Henry Spanier (1921-1996) (2007)
Edwinhenry Spanier, Morris W. Hirsch, Edwin Henry, Spanier Died, Born In, Corps He Received
This paper presents a major and difficult decidability result in grammar form theory. It is proved that, given two arbitrary context-free grammar forms, it is decidable whether or not the family of...
Attractors in coherent systems of differential equations (2007)
Angeli, David, Hirsch, Morris W., Sontag, Eduardo D.
Attractors of cooperative dynamical systems are particularly simple; for example, a nontrivial periodic orbit cannot be an attractor. This paper provides characterizations of attractors for the wider...
Prevalent Behavior of Strongly Order Preserving Semiflows (2006)
Enciso, German A., Hirsch, Morris W., Smith, Hal L.
Classical results in the theory of monotone semiflows give sufficient conditions for the generic solution to converge toward an equilibrium or towards the set of equilibria (quasiconvergence). In...
On eigenvectors of nilpotent Lie algebras of linear operators (2006)
Hirsch, Morris W., Robbin, Joel W.
We give a condition ensuring that the operators in a nilpotent Lie algebra of linear operators on a finite dimensional vector space have a common eigenvector.
Jacobians and branch points of real analytic open maps (2005)
The main result is that the Jacobian determinant of an analytic open map from Euclidean n-space to itself does not change sign. A corollary of the proof is that the set of branch points has dimension...
Periodic orbits and homoclinic loops for surface homeomorphisms (2005)
Let p be a saddle fixed point for an orientation-preserving surface diffeomorphism f admitting a homoclinic point q. Let V be an open 2-cell bounded by a simple loop formed by two arcs joining p to q...
Fixed points of analytic actions of supersoluble Lie groups on compact surfaces. (2001)
Hirsch, Morris W, Weinstein, Alan D
It is shown that every real analytic action of a connected supersoluble Lie group on a compact surface with nonzero Euler characteristic has a fixed point. This implies that E. Lima's fixed point...
Fixed points of analytic actions of supersoluble Lie groups on compact surfaces (2000)
Hirsch, Morris W., Weinstein, Alan
We show that every real analytic action of a connected supersoluble Lie group on a compact surface with nonzero Euler characteristic has a fixed point. This implies that E. Lima's fixed point free...
Stochastic approximation algorithms with constant step size whose average is cooperative (1999)
Benaïm, Michel, Hirsch, Morris W.
We consider stochastic approximation algorithms with constant step size whose average ordinary differential equation (ODE) is cooperative and irreducible. We show that, under mild conditions on the...
Dynamical Systems, Neural Networks and Cortical Models. (1998)
Hirsch, Morris W., Baird, William
This work developed new biological models of cortex and produced artificial neural systems for computation which exploited the special capabilities of complex dynamics, and applied them to specific...
Dynamical Systems, Neural Networks and Cortical Models ASSERT 93. (1998)
Hirsch, Morris W., Baird, Bill, Freeman, Walter, Gangale, Bernice
Work was done on an oscillating neural network "computer" that could recognize sequences of characters of a grammar. It was extended to employ selective control of synchronization to direct the flow...
Computing with Dynamic Attractors in Neural Networks (1998)
ing from the details of the design, construction, operation and training method, we view a network as a dynamical system, to be described mathematically by difference equations or differential...
Hirsch, Morris W., Baird, Bill
In this time period, previous work on the construction of an oscillating neural network 'computer' that could recognize sequences of characters of a grammar was extended to employ selective...
Learning Processes, Mixed Equilibria and Dynamical Systems Arising from Repeated Games (1997)
Michel Benaim, Morris W. Hirsch
Fudenberg and Kreps (1993) consider adaptive learning processes, in the spirit of fictitious play, for infinitely repeated games of incomplete information having randomly perturbed payoffs. They...
Families of Morse Functions Parameterized by Maxima (1996)
Michael D. Hirsch, Morris W. Hirsch
We show there is no continuous map which assigns to each unordered triple of distinct points in the interior of the closed 2-disk a Morse function having maxima at those three points only and no...
Weak Limit Sets of Differential Equations (1996)
Let E be a Banach space. We investigate the limit set L[u] and the weak limit set Lw [u] of solutions u : R+ ! E to differential equations Tu = f where T is the composition of n first order...
Atiyah, Michael, Borel, Armand, Chaitin, G. J., Friedan, Daniel, Glimm, James, Gray, Jeremy J., ...
This article is a collection of letters solicited by the editors of the Bulletin in response to a previous article by Jaffe and Quinn [math.HO/9307227]. The authors discuss the role of rigor in...
Editors' remarks (on two complexity theory surveys in the Bulletin) (1991)
Hirsch, Morris W., Palais, Richard S.
The authors discuss the role of controversy in mathematics as a preface to two opposing articles on computational complexity theory: "Some basic information on information-based complexity theory" by...
A study of bovine noseprints /--by Morris W. Hirsch. (1951)
Thesis (M.S.)--South Dakota State University, 1951.