chapter  8
63 Pages

Bifurcations Revisited

BySteven H. Strogatz

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.