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The fractional\u2010order R\u00f6ssler system is solved by a fast discrete iteration which is obtained from the Adomian decomposition method (ADM) and it is implemented on the DSP board. Complex dynamics of the fractional\u2010order chaotic system are analyzed by means of Lyapunov exponent spectra, bifurcation diagrams, and phase diagrams. It shows that the system has rich dynamics with system parameters and the derivative order <jats:italic>q<\/jats:italic>. Moreover, tracking synchronization controllers are theoretically designed and numerically investigated. The system can track different signals including chaotic signals from the fractional\u2010order master system and constant signals. It lays a foundation for the application of the fractional\u2010order R\u00f6ssler system.<\/jats:p>","DOI":"10.1155\/2018\/4019749","type":"journal-article","created":{"date-parts":[[2018,12,2]],"date-time":"2018-12-02T23:32:29Z","timestamp":1543793549000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Complex Dynamics of the Fractional\u2010Order R\u00f6ssler System and Its Tracking Synchronization 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