Fractional-order simplest memristor-based chaotic circuit with new derivative
School of Physics and Electronics, Central South University Changsha, 410083, Changsha, China
2 School of Computer Science and Technology, Hunan University of Arts and Science, 415000, Changde, China
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Accepted: 6 December 2017
Published online: 5 January 2018
In this paper, the fractional-order simplest memristor-based chaotic circuit is investigated based on the novel conformable Adomian decomposition method (CADM). Dynamics of this circuit is analyzed by employing bifurcation diagram, Lyapunov exponent spectrum, Poincaré section and other methods. The result shows that it has rich dynamical behaviors and we found the minimum order of this system for generating chaos is 1.08. To implement the system in digital circuit, the CADM iteration results with different items are compared to balance the speed and accuracy, and the suitable items are chosen for further application. Finally, DSP implementation of the system verifies the effectiveness of the solution algorithm.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018