Overview

Full Product Details

Author:   A. Manning
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1975 ed.
Volume:   468
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   1.250kg
ISBN:  

9783540071846

ISBN 10:   3540071849
Pages:   412
Publication Date:   31 July 1975
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.
Language:   English & French

Table of 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. Bifurcationof 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.

Reviews

Author Information

Tab Content 6

Author Website:  

Countries Available

All regions