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Poincaré maps of the double scroll. (English) Zbl 0625.58013
Dynamical systems and nonlinear oscillations, Proc. Symp., Kyoto/Jap. 1985, RIMS Kokyuroku 574, 126-134 (1985).

[For the entire collection see Zbl 0605.00012.]

A family of piecewise linear vector fields of 3 is discussed. A detailed analysis is given of the linearly conjugate classes and the Poincaré maps for the family. A result of the analysis is applied to the study of bifurcation of an attractor.

MSC:
37G99Local and nonlocal bifurcation theory