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Dynamics of the Fractional-order Lorenz System Based on Adomian Decomposition Method and Its DSP Implementation
| Content Provider | Semantic Scholar |
|---|---|
| Author | He, Shaobo Sun, Kehui Wang, Huihai |
| Copyright Year | 2017 |
| Abstract | Dynamics and digital circuit implementation of the fractional-order Lorenz system are investigated by employing Adomian decomposition method (ADM). Dynamics of the fractional-order Lorenz system with derivative order and parameter varying is analyzed by means of Lyapunov exponents (LEs), bifurcation diagram, chaos diagram and phase diagram. Results show that the fractional-order Lorenz system has rich dynamical behavior and it is a potential model for application. It is also found that the minimum order is affected by numerical algorithm and time step size. Finally, the fractional-order system is implemented on DSP digital circuit. Phase diagrams generated by the DSP are consistent with that generated by simulation. |
| File Format | PDF HTM / HTML |
| DOI | 10.1109/JAS.2016.7510133 |
| Alternate Webpage(s) | http://mechatronics.ucmerced.edu/sites/mechatronics.ucmerced.edu/files/documents/44.pdf |
| Alternate Webpage(s) | https://doi.org/10.1109/JAS.2016.7510133 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |