Chen, Shihua; Wang, Dongxiao; Chen, Li; Zhang, Qunjiao; Wang, Changping Synchronizing strict-feedback chaotic system via a scalar driving signal. (English) Zbl 1080.93016 Chaos 14, No. 3, 539-544 (2004). Summary: We propose a systematic design procedure to synchronize a class of chaotic system in a so-called strict-feedback form based on back-stepping procedure. This approach needs only a scalar driving signal to realize synchronization no matter how many dimensions the chaotic system contains. Furthermore, the numerical simulation with Chua’s chaotic circuit verifies the effectiveness of the method. Cited in 6 Documents MSC: 93D15 Stabilization of systems by feedback 34C23 Bifurcation theory for ordinary differential equations 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior PDFBibTeX XMLCite \textit{S. Chen} et al., Chaos 14, No. 3, 539--544 (2004; Zbl 1080.93016) Full Text: DOI References: [1] DOI: 10.1103/PhysRevLett.64.821 · Zbl 0938.37019 · doi:10.1103/PhysRevLett.64.821 [2] DOI: 10.1103/PhysRevLett.64.1196 · Zbl 0964.37501 · doi:10.1103/PhysRevLett.64.1196 [3] DOI: 10.1063/1.166276 · doi:10.1063/1.166276 [4] DOI: 10.1063/1.166016 · doi:10.1063/1.166016 [5] DOI: 10.1016/S0375-9601(02)00522-4 · doi:10.1016/S0375-9601(02)00522-4 [6] DOI: 10.1016/S0375-9601(02)00466-8 · Zbl 0995.37021 · doi:10.1016/S0375-9601(02)00466-8 [7] DOI: 10.1088/1009-1963/11/3/306 · doi:10.1088/1009-1963/11/3/306 [8] DOI: 10.1016/S0960-0779(02)00006-1 · Zbl 1005.93020 · doi:10.1016/S0960-0779(02)00006-1 [9] DOI: 10.1063/1.166212 · Zbl 0938.37014 · doi:10.1063/1.166212 [10] DOI: 10.1142/S0218127499001024 · Zbl 0962.37013 · doi:10.1142/S0218127499001024 [11] DOI: 10.1142/S0218126693000071 · doi:10.1142/S0218126693000071 [12] DOI: 10.1111/j.1749-6632.1979.tb29482.x · doi:10.1111/j.1749-6632.1979.tb29482.x [13] DOI: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 · Zbl 1417.37129 · doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 [14] DOI: 10.1016/S0960-0779(00)00089-8 · Zbl 1015.37052 · doi:10.1016/S0960-0779(00)00089-8 [15] DOI: 10.1142/S0218127401002560 · Zbl 1090.93536 · doi:10.1142/S0218127401002560 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.