LOCAL BIFURCATIONS ON THE ROUTE OVER STABILITY BOUNDARIES

The following sections are included:

• Bifurcation surface and transverse families

• Bifurcation of an equilibrium state with one zero exponent

• Bifurcations of periodic orbits with multiplier +1

• Bifurcations of periodic orbits with multiplier −1

• Andronov–Hopf bifurcation

• Birth of invariant torus

• Bifurcations of resonant periodic orbits accompanying the birth of invariant torus