2013 - Fellow of the American Mathematical Society
1964 - Fellow of Alfred P. Sloan Foundation
His scientific interests lie mostly in Pure mathematics, Discrete mathematics, Combinatorics, Dynamical systems theory and Mathematical analysis. Morris W. Hirsch combines subjects such as Fictitious play, Distribution, Partial differential equation and Ordinary differential equation with his study of Pure mathematics. Morris W. Hirsch works mostly in the field of Partial differential equation, limiting it down to topics relating to Class and, in certain cases, State, as a part of the same area of interest.
His Ordinary differential equation research is multidisciplinary, relying on both Stability, Mathematical economics and Monotone polygon. His Discrete mathematics study combines topics from a wide range of disciplines, such as Space, Vector field and Algebra. His Dynamical systems theory study combines topics in areas such as Ignorance and Human intelligence.
Morris W. Hirsch focuses on Pure mathematics, Mathematical analysis, Discrete mathematics, Dynamical systems theory and Combinatorics. In his research, Morris W. Hirsch undertakes multidisciplinary study on Pure mathematics and Affine representation. His Discrete mathematics research includes elements of Point, Schwarzian derivative, Periodic orbits and Algebra.
As part of the same scientific family, Morris W. Hirsch usually focuses on Dynamical systems theory, concentrating on Artificial neural network and intersecting with Computation. His studies deal with areas such as Manifold, Hyperbolic set, Diffeomorphism and Submanifold as well as Combinatorics. Morris W. Hirsch interconnects Space and Euclidean space in the investigation of issues within Affine transformation.
His primary areas of investigation include Pure mathematics, Lie group, Mathematical economics, Discrete mathematics and Monotone polygon. As a part of the same scientific family, Morris W. Hirsch mostly works in the field of Mathematical economics, focusing on Dynamical systems theory and, on occasion, Dynamical system and Differential equation. His studies in Discrete mathematics integrate themes in fields like Schwarzian derivative, Point, Interval and Calculus.
His study in Monotone polygon is interdisciplinary in nature, drawing from both Class, Partial differential equation and Compact space. His Partial differential equation study is associated with Mathematical analysis. The Stability study which covers Ordinary differential equation that intersects with State.
Morris W. Hirsch mostly deals with Monotone polygon, Mathematical economics, Class, Dynamical systems theory and Partial differential equation. His work carried out in the field of Monotone polygon brings together such families of science as Discrete mathematics and Algebra. His Class study incorporates themes from State space, Ordinary differential equation and Monotone dynamical system.
The Dynamical systems theory study combines topics in areas such as Dynamical system and Differential equation. His research in Partial differential equation intersects with topics in Stability, State and Compact space, Pure mathematics. His Pure mathematics study integrates concerns from other disciplines, such as Equilibrium set and Order.
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Differential Equations, Dynamical Systems, and an Introduction to Chaos
Morris W. Hirsch;Stephen Smale;Robert L. Devaney.
(2003)
Differential Equations, Dynamical Systems, and Linear Algebra
Morris W. Hirsch;Stephen Smale.
(1974)
Immersions of manifolds
Morris W. Hirsch.
Transactions of the American Mathematical Society (1959)
Convergent activation dynamics in continuous time networks
M. W. Hirsch.
Neural Networks (1989)
Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
Morris W. Hirsch.
Siam Journal on Mathematical Analysis (1985)
4. Monotone Dynamical Systems
Morris W Hirsch;Hal Smith.
(2005)
Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
Morris W. Hirsch.
Siam Journal on Mathematical Analysis (1982)
Stable manifolds for hyperbolic sets
Morris W. Hirsch;Charles C. Pugh.
Bulletin of the American Mathematical Society (1969)
Stability regions of nonlinear autonomous dynamical systems
H.-D. Chiang;M.W. Hirsch;F.F. Wu.
IEEE Transactions on Automatic Control (1988)
Stability and convergence in strongly monotone dynamical systems.
Morris W. Hirsch.
Crelle's Journal (1988)
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