Simple scenarios of onset of chaos in three-dimensional maps
  We give a qualitative description of two main routes to chaos in three-dimensional maps. We discuss Shilnikov scenario of transition to spiral chaos and a scenario of transition to discrete Lorenz-like and figure-eight strange attractors. The theory is illustrated by numerical analysis of three-dimensional Henon-like maps and Poincare maps in models of nonholonomic mechanics. 
Alexander Gonchenko, Sergey Gonchenko, Alexey Kazakov, Dmitry Turaev
nlin.CD