Generic 1/f Noise in Chaotic Hamiltonian Dynamics
T. Geisel, A. Zacherl, G. Radons
Physical Review Letters , vol 59, no 22, 2503-2506 (1987)
Abstract
We describe a mechanism for generic 1/f noise in nonintegrable Hamiltonian
systems. The phenomenon is observed in the velocity fluctuations of a
particle in a 2D periodic potential and is associated with anomalously
enhanced deterministic diffusion. It is explained in terms of a
renewal process and trapping in a hierarchy of nested cantori.
1/f in dynamical system models