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