{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T11:48:25Z","timestamp":1768736905196,"version":"3.49.0"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,6,15]]},"abstract":"<jats:p>By adopting Adomian decomposition method, the fractional-order simplified Lorenz system is solved and implemented on a digital signal processor (DSP). The Lyapunov exponent (LE) spectra of the system is calculated based on QR-factorization, and it accords well with the corresponding bifurcation diagrams. We analyze the influence of the parameter and the fractional derivative order on the system characteristics by color maximum LE (LE<jats:sub>max<\/jats:sub>) and chaos diagrams. It is found that the smaller the order is, the larger the LE<jats:sub>max<\/jats:sub>is. The iteration step size also affects the lowest order at which the chaos exists. Further, we implement the fractional-order simplified Lorenz system on a DSP platform. The phase portraits generated on DSP are consistent with the results that were obtained by computer simulations. It lays a good foundation for applications of the fractional-order chaotic systems.<\/jats:p>","DOI":"10.1142\/s0218127415500856","type":"journal-article","created":{"date-parts":[[2015,6,17]],"date-time":"2015-06-17T02:48:21Z","timestamp":1434509301000},"page":"1550085","source":"Crossref","is-referenced-by-count":50,"title":["Characteristic Analysis and DSP Realization of Fractional-Order Simplified Lorenz System Based on Adomian Decomposition Method"],"prefix":"10.1142","volume":"25","author":[{"given":"Huihai","family":"Wang","sequence":"first","affiliation":[{"name":"School of Physics and Electronics, Central South University, Changsha, Hunan 410083, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kehui","family":"Sun","sequence":"additional","affiliation":[{"name":"School of Physics and Electronics, Central South University, Changsha, Hunan 410083, P. R. 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