Chaotic and pseudochaotic attractors of perturbed fractional oscillator

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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20 pages, 7 figures

Scientific paper

10.1063/1.2126806

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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