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Recurrence analysis of fractional-order Lorenz system

MATEC Web of Conferences, ISSN: 2261-236X, Vol: 211
2018
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Conference Paper Description

The fractional derivative is increasingly used in modeling of nonlinear systems. Fractional-order systems often give better fit to the experimental results, especially for the systems in which memory effects or hysteresis play a significant role. The paper presents numerical results obtained for Lorenz dynamical system, described by equations with the fractional derivative components. The impact of the fractional derivative terms on the system dynamics and stability is analyzed by using phase diagrams and recurrence plot analysis.

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