Kaneko, Kunihiko Doubling of torus. (English) Zbl 1200.37031 Prog. Theor. Phys. 69, No. 6, 1806-1810 (1983). \`\` Doubling of torus” is found in three-or four-dimensional dissipative mappings. In these models, doubling occurs only a finite number of times before chaos appears. An explanation is attempted by a numerical study on the stability against perturbation of the direct product state of coupled logistic and torus maps. Cited in 24 Documents MSC: 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior PDFBibTeX XMLCite \textit{K. Kaneko}, Prog. Theor. Phys. 69, No. 6, 1806--1810 (1983; Zbl 1200.37031) Full Text: DOI