Applications of Centre Manifold Theory - Applied Mathematical Sciences No. 35 (Paperback)
  • Applications of Centre Manifold Theory - Applied Mathematical Sciences No. 35 (Paperback)

Applications of Centre Manifold Theory - Applied Mathematical Sciences No. 35 (Paperback)

£113.00
Paperback Published: 29/06/1981
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket

Check Marketplace availability

These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown University during the academic year 1978-79. The purpose of the lectures was to give an introduction to the applications of centre manifold theory to differential equations. Most of the material is presented in an informal fashion, by means of worked examples in the hope that this clarifies the use of centre manifold theory. The main application of centre manifold theory given in these notes is to dynamic bifurcation theory. Dynamic bifurcation theory is concerned with topological changes in the nature of the solutions of differential equations as para- meters are varied. Such an example is the creation of periodic orbits from an equilibrium point as a parameter crosses a critical value. In certain circumstances, the application of centre manifold theory reduces the dimension of the system under investigation. In this respect the centre manifold theory plays the same role for dynamic problems as the Liapunov-Schmitt procedure plays for the analysis of static solutions. Our use of centre manifold theory in bifurcation problems follows that of Ruelle and Takens [57) and of Marsden and McCracken [51).

Publisher: Springer-Verlag New York Inc.
ISBN: 9780387905778

You may also be interested in...

Your review has been submitted successfully.

We would love to hear what you think of Waterstones. Why not review Waterstones on Trustpilot?


Review us on Trustpilot