Lyapunov Stability in the Cournot Duopoly Game

Table 2

Numerical simulation results if but .

Track	Track (1)	Track (2)	Track (3)	Track (4)	Track (5)
	(0.0000, 0.4168)	(0.3677, 2.5128)	(2.9527, 0.0000)	(6.2500, 0.4160)	(2.9527, 6.666)
	(1.2501, 0.0000)	(1.5801, 1.1483)	(0.0000, 1.3432)	(1.2501, 0.0000)	(3.3333e − 05, 1.3432)
	(0.0000, 1.5451)	(1.6185, 1.5625)	(1.6492, 0.0000)	(0.0000, 1.5451)	(1.6492, 0.0144)
	(1.6650, 0.0000)	(1.6650, 1.5620)	(0.0000, 1.5613)	(1.6650, 0.0000)	(0.2954, 1.5613)
	(0.0000, 1.5609)	(1.6650, 1.5609)	(1.6649, 0.0000)	(0.0000, 1.5609)	(1.6649, 1.0634)
	(1.6649, 0.0000)	(1.6649, 1.5609)	(0.0000, 1.5609)	(1.6649, 0.0000)	(1.5609, 1.6649)
	(0.0000, 1.5609)	.	(1.6649, 0.0000)	(0.0000, 1.5609)	(1.6649, 1.5609)
	(1.6649, 0.0000)	.	(0.0000, 1.5609)	(1.6649, 0.0000)	(1.6650, 1.5609)
	(0.0000, 1.5609)	.	(1.6649, 0.0000)	(0.0000, 1.5609)	(1.5609, 1.6649)
	(1.6649, 0.0000)	.	(0.0000, 1.5609)	(1.6649, 0.0000)	(1.6649, 1.5609)
.	.	.	.	.	.
.	.	.	.	.	.
.	.	.	.	.	.
	.	(1.6649, 1.5609)	.	.	(1.6649, 1.5609)
.	.	↓	.	.	↓
.	final2-period	(1.6649, 1.5609)	final2-period	final2-period	(1.6649, 1.5609)

A track is called the final k-periodic if there is a natural number m ≥ 1 such that is a k-period track where k = 2 in Table 2.