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We also confirm the availability of our method to continuoustime
system. The following differential equation is a mathematical model
of the neural oscillator:

(10) 
The system has a limit cycle in the autonomous system; i.e., .
By changing or , generation of quasiperiodic solution,
chaotic motion, and frequency entrainment are observed.
Then we construct the Poincaré mapping to the periodic
solution, calculate isoclines and bifurcation curves in 
plane. Figure 4 shows a bifurcation diagram of this
system. It is clear that same structures are found with
Fig. 1.
図 4:
Bifurcation diagram of Eq. (10).

図 5:
Phase portrait: Poincaré mapping on the NS bifurcation
with
.
, ,
.

Next: 4.3 Forced BVP oscillator
Up: 4 Examples
Previous: 4.1 A Discrete Chaotic
tetsushi
平成15年6月16日