Dynamical Systems—Warwick 1974: Proceedings of a Symposium Held at the University of Warwick 1973/74 [1 ed.] 9780387071848, 0-387-07184-9 [DJVU]

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English-French Pages 412 [428] Year 1975

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Table of contents :
Foliations with all leaves compact....Pages 1-2
A question concerning compact foliations....Pages 2-4
Compact leaves of foliations....Pages 4-6
Foliations with measure preserving holonomy....Pages 6-7
Foliated bundles, flat manifolds and invariant measures....Pages 8-9
A stable analytic foliation with only exceptional minimal sets....Pages 9-10
Accessibility and foliations....Pages 10-12
A Poincaré-Bendixson Theorem for R 2 -actions....Pages 12-13
Linearly induced vector fields and R 2 -actions on spheres....Pages 13-17
Structural stability for line fields with singularities on two-manifolds....Pages 17-19
Lie algebra preserving diffeomorphisms....Pages 19-20
The point spectrum of the adjoint to an automorphism of a vector bundle....Pages 20-21
Structural stability for C 1 diffeomorphisms....Pages 21-23
Absolute and infinitessimal stability....Pages 24-26
Classification of Anosov diffeomorphisms on Tori....Pages 26-27
Quasi-Anosov diffeomorphisms....Pages 27-29
Suspensions of topological Markov chains....Pages 30-31
Equilibrium states....Pages 32-35
Ergodic theory of Axiom A flows....Pages 35-36
Homology theory and dynamical systems....Pages 36-39
Topological entropy and stability....Pages 39-40
Cohomology of expanding attractors....Pages 41-42
Homology classes composed of infinitely many unstable manifolds of a dynamical system....Pages 42-44
Morse inequalities for diffeomorphisms with shoes and flows with solenoids....Pages 44-47
Arcs of Dynamical Systems: Bifurcations and Stability....Pages 48-53
Simple arcs and stable dynamical systems....Pages 53-55
Hilbert's 16th problem: Limit cycles of polynomial vector fields in the plane....Pages 55-57
Topological conjugacy of real projective transformations....Pages 57-59
Fixed point index of area-preserving maps....Pages 59-60
Homoclinic points of area preserving maps....Pages 60-61
Generic Bifurcations in Hamiltonian Systems....Pages 62-70
The Maslov index for Lagrangian manifolds....Pages 70-71
Contact equivalence for Lagrangian submanifolds....Pages 71-73
Optimisation of several functions....Pages 73-75
Bifurcation of Whitney Maps ℝ n →ℝ 2 and Critical Pareto sets....Pages 75-77
A certain semilinear system of partial differential equations....Pages 78-79
Constrained Differential Equations....Pages 80-82
What is the Unit of Selection?....Pages 82-84
Zakalyukin's proof of the (uni)versal unfolding theorem....Pages 85-86
The Catastrophe of a Buckling Beam....Pages 86-91
Reversals of the Earth's Magnetic Field....Pages 91-98
Phase transitions as catastrophes....Pages 98-100
Caustics and catastrophes....Pages 100-101
Catastrophe theory in biology....Pages 101-105
Pyramidal Cells as Hierarchical Relators....Pages 105-107
Solving a single conservation law....Pages 108-134
Infinite codimension and transversality....Pages 135-150
On infinitessimal and absolute stability of diffeomorphisms....Pages 151-161
Expansive diffeomorphisms....Pages 162-174
Stability of endomorphisms....Pages 175-184
Topological Entropy and the First Homology Group....Pages 185-190
The implicit function theorem and analytic differential equations....Pages 191-208
On simple arcs between structurally stable flows....Pages 209-233
Nondifferentiability of invariant foliations....Pages 234-240
Genericity theorems in topological dynamics....Pages 241-250
The homology class of an expanded invariant manifold....Pages 251-256
On the entropy conjecture: a report on conversations among R. Bowen M. Hirsch, A. Manning, C. Pugh, B. Sanderson, M. Shub and R. Williams....Pages 257-261
Structural stability of C 1 flows....Pages 262-275
Removing index-zero singularities with C 1 -small perturbations....Pages 278-286
Sufficient conditions for an optimum....Pages 287-292
Tolerance Stability....Pages 293-304
Geometric Aspects of Non-linear R.L.C. Networks....Pages 305-331
Regular stratifications....Pages 332-344
Fifty problems in dynamical systems....Pages 345-353
Dynamical systems—five years after....Pages 354-365
Catastrophe Theory: Its present state and future perspectives....Pages 366-366
La Théorie des Catastrophes: Etat Présent et Perspectives....Pages 366-372
Catastrophe Theory: A reply to thom....Pages 373-383
Answerto Christopher Zeeman's reply....Pages 384-389

Dynamical Systems—Warwick 1974: Proceedings of a Symposium Held at the University of Warwick 1973/74 [1 ed.] 9780387071848, 0-387-07184-9 [DJVU]

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