Rather, the number of limbs increases from 6 to 10 and the limit loop becomes
smaller. See Figs. 4.16 and 4.17 for this case. What is the origin of these limbs?
Can you find the value of R at which chaos emerges? If the lag time is increased
to two, the model becomes unstable. Could you then stabilize it somehow?
Oscillatory behavior has been observed in chemical systems. We will model one
of the most prominent chemical oscillators—the Brusselator—in Chap. 10. It has
far-reaching implications for the understanding of real-world systems, and we will
discuss these implications in that later chapter.
Fig. 4.12
Fig. 4.13
4.3 Simple Oscillator
55
smaller. See Figs. 4.16 and 4.17 for this case. What is the origin of these limbs?
Can you find the value of R at which chaos emerges? If the lag time is increased
to two, the model becomes unstable. Could you then stabilize it somehow?
Oscillatory behavior has been observed in chemical systems. We will model one
of the most prominent chemical oscillators—the Brusselator—in Chap. 10. It has
far-reaching implications for the understanding of real-world systems, and we will
discuss these implications in that later chapter.
Fig. 4.12
Fig. 4.13
4.3 Simple Oscillator
55
