Chaotic and pseudochaotic attractors of perturbed fractional oscillator

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.

arXiv comment20 pages, 7 figures

References in corpus (4)

• Fractional Schrodinger equation
• Some Applications of Fractional Equations
• Fractional oscillator
• Twist of fractional oscillations

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