Lai, Qiang; Guan, Zhi-Hong; Wu, Yonghong; Liu, Feng; Zhang, Ding-Xue Generation of multi-wing chaotic attractors from a Lorenz-like system. (English) Zbl 1277.34014 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 9, Article ID 1350152, 10 p. (2013). Summary: Two methods are proposed to construct multi-wing chaotic attractors based on a Lorenz-like autonomous chaotic system. The first is switching method which can directly multiply the wings of the system without segment linearization of the system. The second is coordinate transition method which is related to the initial value of the system. Moreover, theoretical analysis and simulation results show the effectiveness of these two methods. Cited in 7 Documents MSC: 34A34 Nonlinear ordinary differential equations and systems 34C28 Complex behavior and chaotic systems of ordinary differential equations 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior Keywords:multi-wing chaotic attractors; Lorenz-like system; switching method; coordinate transition PDFBibTeX XMLCite \textit{Q. Lai} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 9, Article ID 1350152, 10 p. (2013; Zbl 1277.34014) Full Text: DOI References: [1] DOI: 10.1142/S0218127499000729 · Zbl 1089.37509 · doi:10.1142/S0218127499000729 [2] DOI: 10.1142/S0218127498001236 · Zbl 0941.93522 · doi:10.1142/S0218127498001236 [3] DOI: 10.1142/S0218127499001024 · Zbl 0962.37013 · doi:10.1142/S0218127499001024 [4] DOI: 10.1142/S0218127403006935 · Zbl 1066.37008 · doi:10.1142/S0218127403006935 [5] Chua L. O., IEEE Trans. Circuits Syst. 33 pp 289– (1986) [6] DOI: 10.1016/j.physleta.2007.04.112 · Zbl 1209.37032 · doi:10.1016/j.physleta.2007.04.112 [7] DOI: 10.1142/S0218127403008405 · Zbl 1078.37503 · doi:10.1142/S0218127403008405 [8] DOI: 10.1016/j.chaos.2007.12.003 · Zbl 1198.37045 · doi:10.1016/j.chaos.2007.12.003 [9] DOI: 10.1142/S0218127402005030 · Zbl 1051.93508 · doi:10.1142/S0218127402005030 [10] DOI: 10.1109/TAC.2005.851462 · Zbl 1365.93347 · doi:10.1109/TAC.2005.851462 [11] DOI: 10.1063/1.3266929 · Zbl 1311.93052 · doi:10.1063/1.3266929 [12] DOI: 10.1063/1.4729136 · Zbl 1331.34075 · doi:10.1063/1.4729136 [13] DOI: 10.1103/PhysRevLett.67.1953 · doi:10.1103/PhysRevLett.67.1953 [14] DOI: 10.1142/S0218127410027660 · Zbl 1204.34097 · doi:10.1142/S0218127410027660 [15] DOI: 10.1016/j.physa.2004.02.010 · doi:10.1016/j.physa.2004.02.010 [16] DOI: 10.1016/j.physleta.2010.07.039 · Zbl 1241.34055 · doi:10.1016/j.physleta.2010.07.039 [17] 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 [18] DOI: 10.1142/S021812740401014X · Zbl 1129.37323 · doi:10.1142/S021812740401014X [19] DOI: 10.1016/j.automatica.2004.06.001 · Zbl 1162.93353 · doi:10.1016/j.automatica.2004.06.001 [20] DOI: 10.1016/j.physleta.2008.01.065 · Zbl 1220.37024 · doi:10.1016/j.physleta.2008.01.065 [21] DOI: 10.1103/PhysRevE.47.R3003 · doi:10.1103/PhysRevE.47.R3003 [22] DOI: 10.1016/0375-9601(76)90101-8 · Zbl 1371.37062 · doi:10.1016/0375-9601(76)90101-8 [23] DOI: 10.1103/PhysRevLett.68.1259 · doi:10.1103/PhysRevLett.68.1259 [24] DOI: 10.1038/370615a0 · doi:10.1038/370615a0 [25] DOI: 10.1103/PhysRevE.50.R647 · doi:10.1103/PhysRevE.50.R647 [26] Suykens J., IEE Proc.-G 138 pp 595– (1991) [27] DOI: 10.1016/j.physleta.2006.12.029 · doi:10.1016/j.physleta.2006.12.029 [28] DOI: 10.1142/S0218127410026010 · Zbl 1193.34092 · doi:10.1142/S0218127410026010 [29] DOI: 10.1142/S0218127410025387 · doi:10.1142/S0218127410025387 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.