1984 A piecewise system for quasi-periodic and chaotic motions

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When b=0, this system is conservative and produces quasi-periodic motions as evidenced in the Poincaré section defined by y=0 and shown in Fig. 1. Using x₀ = 0.1417, y₀=z₀=0, there is most likely a weakly chaotic toroidal motion (shown in green in Fig. 1.).

Fig. 1. Poincaré section when a=1 and b=0.