Nonlinear Dynamics

, Volume 57, Issue 1–2, pp 157–170 | Cite as

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

  • Ivo Petráš
Original Paper


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.


Chaos Attractor Fractional calculus Fractional-order Volta’s system 


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Institute of Control and Informatization of Production Processes, BERG FacultyTechnical University of KošiceKošiceSlovak Republic

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