Chaotic and pseudochaotic attractors of perturbed fractional oscillator
  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. 
G.M. Zaslavsky, A.A. Stanislavsky, M. Edelman