Hyperbolic Structures and the Stickiness Effect

The stickiness effect of invariant tori in the phase space is widely studied and extended to the slow-down of orbital diffusion due to some other invariant sets, such as Cantori, island-chains and hyperbolic periodic orbits. We report two models in which hyperbolic periodic orbits show the stickiness effect. The generalized stickiness effects caused by different invariant sets are discussed. We believe that the main cause of the generalized stickiness effects is the hyperbolic structures in the phase space of the dynamical systems.