Received 3 April 2006, Accepted 16 August 2006, Published 20 September 2006

Ref: J. C. Sprott, Electronic Journal of Theoretical Physics 3, 19-35 (2006)

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Fig. 1. Regions of dynamical behaviors for Eq. (1) for various values of the time delay.

Fig. 2. Attractors for the system in Eq. (1) with a = 1.6 and b = 0.1 for various values of the time delay.

Fig. 3. Kaplan-Yorke dimension and
Lyapunov exponents for the system in Eq. (1) with a = 1.6 and b = 0.1 versus time delay.

Fig. 4. Kaplan-Yorke dimension and Lyapunov exponents for the system in Eq. (1) with b = 0.1 showing the route to chaos at low dimension (d = 2) and high dimension (d = 100).

Fig. 5. Kaplan-Yorke dimension and a few of the largest Lyapunov exponents for the system in Eq. (1) with b = 0.1 and d = 100 showing in more detail the onset of chaos.

Fig. 6. Attractors for the system in Eq. (1) with b = 0.1 and d = 100 showing period doubling of a drift ring approaching the onset of chaos.

Fig. 7. Global bifurcations and multiple attractors for two values of b with d = 100.

Fig. 8. Relative probability of different values of <r

Fig. 9. Four coexisting attractors for a = 0.7, b = 0.3, and d = 100 near the onset of chaos.