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Zbl 1221.34017
Petráš, Ivo
A note on the fractional-order Volta's system. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 15, No. 2, 384-393 (2010). ISSN 1007-5704

Summary: We deal with the fractional-order Volta's system. It is based on the concept of chaotic system, where the mathematical model of system contains fractional order derivatives. This system has simple structure and can display a double-scroll attractor. The behavior and stability analysis of the integer-order and the fractional commensurate and non-commensurate order Volta's system with total order less than 3 which exhibits chaos are presented as well.
MSC 2000:
*34A08
37D45 Strange attractors, chaotic dynamics

Keywords: double-scroll attractor; fractional calculus; fractional-order Volta's system

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