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A note on the fractional-order Volta’s system. (English) Zbl 1221.34017
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:
34A08 Fractional ordinary differential equations and fractional differential inclusions
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
Software:
FODE; ma2dfc
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