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1984 A piecewise system for quasi-periodic and chaotic motions

Christophe LETELLIER
18/11/2017


  [1]

GIF - 1023 octets

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.).

JPG - 25.8 ko
Fig. 1. Poincaré section when a=1 and b=0.

[1] O. E. Rössler, C. Kahlert & B. Uehleke, Tori and chaos in a simple C1-system, Lectures Notes in Engineering, 13, 51-58, 1985.

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