Jiang, Pin-Qun; Wang, Bing-Hong; Bu, Shou-Liang; Xia, Qing-Hua; Luo, Xiao-Shu Hyperchaotic synchronization in deterministic small-world dynamical networks. (English) Zbl 1062.37022 Int. J. Mod. Phys. B 18, No. 17-19, 2674-2679 (2004). The authors study an example of a small-world network. They show that depending on coupling parameter, the network can be synchronized. The oscillators and the coupling scheme are chosen in such a way that the synchronized behavior is hyperchaotic, i.e., it is characterized by more that one positive Lyapunov exponent. Reviewer: Sergiy Yanchuk (Berlin) Cited in 5 Documents MSC: 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations 34C28 Complex behavior and chaotic systems of ordinary differential equations 34C30 Manifolds of solutions of ODE (MSC2000) 34D08 Characteristic and Lyapunov exponents of ordinary differential equations Keywords:small-world networks; hyperchaos; synchronization PDFBibTeX XMLCite \textit{P.-Q. Jiang} et al., Int. J. Mod. Phys. B 18, No. 17--19, 2674--2679 (2004; Zbl 1062.37022) Full Text: DOI References: [1] DOI: 10.1038/35065725 · Zbl 1370.90052 [2] DOI: 10.1103/RevModPhys.74.47 · Zbl 1205.82086 [3] DOI: 10.1142/S0218127402004802 · Zbl 1044.37561 [4] DOI: 10.1137/S003614450342480 · Zbl 1029.68010 [5] Wu C. W., IEEE Trans. Circuits Syst. I 42 pp 430– [6] Erdös P., Publ. Math. Inst. Hung. Acad. Sci. 5 pp 17– [7] DOI: 10.1038/30918 · Zbl 1368.05139 [8] Gade P. M., Phys. Rev. 62 pp 6409– [9] DOI: 10.1142/S0218127402004292 [10] DOI: 10.1103/PhysRevLett.89.054101 [11] Hong H., Phys. Rev. 65 pp 026439– [12] DOI: 10.1016/S0020-0190(00)00118-6 · Zbl 1338.68012 [13] DOI: 10.1049/el:19960630 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.