Chaotic and pseudochaotic attractors of perturbed fractional oscillator
arXiv:nlin/0508018 · doi:10.1063/1.2126806
Abstract
We consider a nonlinear oscillator with fractional derivative of the order alpha. Perturbed by a periodic force, the system exhibits chaotic motion called fractional chaotic attractor (FCA). The FCA is compared to the ``regular'' chaotic attractor. The properties of the FCA are discussed and the ``pseudochaotic'' case is demonstrated.
20 pages, 7 figures