Collected Papers of Stephen Smale, the - Volume 2 [Illustrated] 9810249926, 9789810249922

Table of contents :
Front matter
Smale and Nonlinear Analysis: A Personal Perspective
A Generalized Morse Theory
Morse Theory and a Non-Linear Generalization of the Dirichlet Problem
On The Calculus Of Variations
An Infinite Dimensional Version Of Sard's Theorem
On the Morse Index Theorem
Corrigendum: On the Morse Index Theorem
What Is Global Analysis?
Book Review on “Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold” by Marston Morse
Smooth solutions of the heat and wave equations
On the Contribution of Smale to Dynamical Systems
Discussion
Morse Inequalities For A Dynamical System
On Dynamical Systems
Dynamical Systems And The Topological Conjugacy Problem For Diffeomorphisms
Stable Manifolds For Differential Equations And Diffeomorphisms
A Structurally Stable Differentiable H0me0morphism With An Infinite Number Of Periodic Points
Diffeomorphisms with Many Periodic Points
Structurally Stable Systems Are Not Dense
Dynamical Systems on n-Dimensional Manifolds
Differentiable Dynamical Systems
Nongenericity Of Ω-Stability
Structural Stability Theorems
Notes On Differentiable Dynamical Systems
The Ω-Stability Theorem
Stability And Genericity In Dynamical Systems
Beyond hyperbolicity
Stability and Isotopy in Discrete Dynamical Systems
Dynamical systems on manifolds
Dynamical Systems And Turbulence
Review of “Catastrophe Theory: Selected Papers, 1972–1977” by E. C. Zeeman
On The Problem Of Reviving The Ergodic Hypothesis Of Boltzmann And Birkhoff
On How I Got Started In Dynamical Systems
Dynamics retrospective: great problems, attempts that failed
What Is Chaos?
Finding a Horseshoe on the Beaches of Rio
The Work of Curtis T. Mcmullen
Steve Smale and Geometric Mechanics
Topology and Mechanics. I
Topology and Mechanics. Ii: The Planar n-Body Problem
Problems On The Nature Of Relative Equilibria In Celestial Mechanics
Personal Perspectives On Mathematics And Mechanics
On The Mathematical Foundations Of Electrical Circuit Theory
A Mathematical Model Of Two Cells Via Turing's Equation
Optimizing Several Functions
Sufficient Conditions For An Optimum
The Qualitative Analysis of a Difference Equation of Population Growth
On the Differential Equations of Species in Competition
The Problem of the Average Speed of the Simplex Method
On The Average Number Of Steps Of The Simplex Method Of Linear Programming