Dynamical Systems-Warwick 1974 : Proceedings of a Symposium Held at the University of Warwick 1973/74 / edited by Anthony Manning.

Format:

Book

Contributor:

Manning, Anthony (College teacher), editor.

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 468.

Lecture Notes in Mathematics, 0075-8434 ; 468

Language:

English

Subjects (All):

Differentiable dynamical systems.

Dynamical Systems and Ergodic Theory.

Local Subjects:

Dynamical Systems and Ergodic Theory.

Physical Description:

1 online resource (XII, 412 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1975.

System Details:

text file PDF

Contents:

1 Foliations with all leaves compact

2. A question concerning compact foliations

3. Compact leaves of foliations

4. Foliations with measure preserving holonomy

5. Foliated bundles, flat manifolds and invariant measures

6. A stable analytic foliation with only exceptional minimal sets

7. Accessibility and foliations

8. A Poincaré-Bendixson Theorem for R2-actions

9. Linearly induced vector fields and R2-actions on spheres

10. Structural stability for line fields with singularities on two-manifolds

11. Lie algebra preserving d iffeomorphisms

12. The point spectrum of the adjoint to an automorphism of a vector bundle

13. Structural stability for c1 diffeomorphisms

14. Absolute and infinitessimal stability

15. Classification of Anosov diffeomorphisms on Tori

16. Quasi-Anosov diffeomorphisms

17. Suspensions of topological Markov chains

18. Equilibrium states

19. Ergodic theory of Axiom A flows

20. Homology theory and dynamical systems

21. Topological entropy and stability

22. Cohomology of expanding attractors

23. Homology classes composed of infinitely many unstable manifolds of a dynamical system

24. Morse inequalities for diffeomorphisms with shoes and flows with solenoids

25. Arcs of Dynamical Systems : Bifurcations and Stability

26. Simple arcs and stable dynamical systems

27. Hilbert's 16th problem : Limit cycles of polynomial vector fields in the plane

28. Topological conjugacy of real projective transformations

29. Fixed point index of area-preserving maps

30. Homoclinic points of area-preserving maps

31.Generic Bifurcations in Hamiltonian Systems

32. The Maslov index for Lagrangian manifolds

33. Contact equivalence for Lagrangian submanifolds

34. Optimisation of several functions

35. Bifurcation of Whitney Maps Rn ? R2 and Critical Pareto sets

36. A certain semilinear system of partial differential equations

37. Constrained Differential Equations

38. What is the Unit of Selection?

39. Zakalyukin's proof of the (uni)versal unfolding theorem

40. The Catastrophe of a Buckling Beam

41. Reversals of the Earth's Magnetic Field

42. Phase transitions as catastrophes

43.Caustics and catastrophes

44. Catastrophe theory in biology

45. Pyramidal Cells as Hierarchical Relators

Solving a single conservation law

Infinite codimension and transversality

On infinitessimal and absolute stability of diffeomorphisms

Expansive diffeomorphisms

Stability of endomorphisms

Topological entropy and the first homology group

The implicit function theorem and analytic differential equations

On simple arcs between structurally stable flows

Nondifferentiability of invariant foliations

Genericity theorems in topological dynamics

The homology class of an expanded invariant manifold

On the entropy conjecture

Structural stability of C1 flows

Removing index zero singularities with c1 small perturbations

Sufficient conditions for an optimum

Tolerance stability

Geometric aspects of non-linear R.L.C. networks

Regular stratifications

Fifty problems in dynamical systems

Dynamical systems : Five years after

Catastrophe Theory : Its present state and future perspectives

La théorie des catastrophes : état présent et perspectives

Catastrophe Theory : A reply to Thom

Answer to Christopher Zeeman's reply

Author Index.

Other Format:

Printed edition:

ISBN:

9783540375258

Access Restriction:

Restricted for use by site license.