Carr J. Applications of Centre Manifold Theory (Applied Mathematical Sciences)

Springer-Verlag, 1981. - 143 p. ISBN: 0387905774.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 parameters are varied. Such an example is the creation of periodic orbits from an equilibrium point as a parameter crosses a critical value.