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Chaos in the fractional-order Volta’s system: modeling and simulation

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Abstract

This paper deals with a new fractional-order chaotic system. It is based on the concept of Volta’s system, where the mathematical model of Volta’s system contains fractional-order derivatives. This system has simple structure and can display a double-scroll attractor. The behavior of the integer-order and the fractional-order Volta’s system with total order less than three which exhibits chaos is presented as well. Computer simulations are cross-verified by the numerical calculation and the Matlab/Simulink models.

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  1. Institute of Control and Informatization of Production Processes, BERG Faculty, Technical University of Košice, B. Němcovej 3, 042 00, Košice, Slovak Republic

    Ivo Petráš

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  1. Ivo Petráš
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Correspondence to Ivo Petráš.

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Petráš, I. Chaos in the fractional-order Volta’s system: modeling and simulation. Nonlinear Dyn 57, 157–170 (2009). https://doi.org/10.1007/s11071-008-9429-0

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