CHAOTIC DYNAMICS EXHIBITED BY TWO-DIMENSIONAL MAPS

摘要

The Chossat-Golubitsky (C-G) and the Tinkerbell (T) maps serve as examples to exhibit some aspects of chaotic dynamics and to give an explanation based mainly on numerical techniques applied. The C-G map exhibits periodic, chaotic and hyperchaotic dynamics and many different bifurcations, which are discussed and illustrated. On the basis of the consideration of the T map, a peculiar organization of unstable orbits, a role of their unstable manifolds and their relation to a fractal structure is discussed.