chapter  8
67 Pages

Bifurcations Revisited

This chapter extends our earlier work on bifurcations (Chapter 3). As we move up from one-dimensional to two-dimensional systems, we still find that fixed points can be created or destroyed or destabilized as parameters are varied-but now the same is true of closed orbits as well. Thus we can begin to describe the ways in which oscillations can be turned on or off.