Experimental Realization of a Multiscroll Chaotic Oscillator with Optimal Maximum Lyapunov Exponent

Table 5

Optimized MLE for 5 to 10 scrolls and their (𝑎,𝑏,𝑐,𝑑₁) coefficient values.

5 scrolls	6 scrolls	7 scrolls
0.6919	0.72	0.7313
(1.0000, 0.7250, 0.2250, 1.000)	(1.0000, 0.6750, 0.2100, 1.000)	(1.0000, 0.6430, 0.1580, 1.0000)
0.6914	0.7107	0.7182
(0.9880, 0.7140, 0.2050, 1.000)	(1.0000, 0.6870, 0.2160, 1.000)	(1.0000, 0.6110, 0.1390, 0.9750)
0.6908	0.706	0.7174
(0.9890, 0.7300, 0.2070, 1.0000)	(1.0000, 0.6920, 0.1700, 1.000)	(1.0000, 0.6410, 0.1390, 1.0000)
0.6814	0.6904	0.6952
(0.9910, 0.6810, 0.2300, 0.9810)	(1.0000, 0.6870, 0.1830, 1.000)	(1.0000, 0.5320, 0.1920, 0.9960)
0.6663	0.6764	0.6857
(0.9880, 0.7480, 0.1890, 1.0000)	(0.9940, 0.6510, 0.2320, 0.9860)	(1.0000, 0.7280, 0.2100, 1.0000)
0.6651	0.6758	0.6391
(0.9840, 0.6810, 0.2270, 0.9830)	(1.0000, 0.7530, 0.1740, 1.000)	(1.0000, 0.7890, 0.1490, 1.0000)
0.6645	0.6741	0.6244
(0.9890, 0.6810, 0.2040, 0.9790)	(1.0000, 0.7060, 0.1850, 1.000)	(1.0000, 0.8190, 0.2310, 1.0000)
0.6533	0.6245	0.6218
(1.0000, 0.7840, 0.2000, 1.0000)	(0.9780, 0.7690, 0.2270, 1.000)	(1.0000, 0.4030, 0.4000, 1.0000)
0.6523	0.5871	0.505
(0.9800, 0.7960, 0.1570, 1.0000)	(1.0000, 0.6140, 0.3190, 1.000)	(0.9470, 1.0000, 0.2220, 0.9110)
0.6471	0.563	0.4263
(1.0000, 0.7330, 0.2050, 1.0000)	(0.9670, 0.8230, 0.3380, 0.955)	(0.9050, 0.6100, 0.6180, 0.8590)
8 scrolls	9 scrolls	10 scrolls
0.8412	0.8654	0.8853
(1.0000, 0.5690, 0.1360, 0.9970)	(0.9960, 0.5370, 0.1450, 0.998)	(1.0000, 0.5160, 0.1190, 1.0000)
0.8382	0.8595	0.8792
(1.0000, 0.5750, 0.1290, 0.9980)	(1.0000, 0.5800, 0.0960, 1.000)	(1.0000, 0.5130, 0.1180, 1.0000)
0.8208	0.8563	0.8438
(1.0000, 0.6120, 0.1210, 0.9980)	(0.9990, 0.530, 0.1320, 0.9980)	(1.0000, 0.5160, 0.1580, 1.0000)
0.8471	0.8503	0.8712
(1.0000, 0.5880, 0.1280, 1.0000)	(1.0000, 0.5440, 0.1150, 1.000)	(1.0000, 0.5410, 0.1060, 1.0000)
0.8458	0.877	0.8545
(1.0000, 0.5880, 0.1190, 1.0000)	(1.000, 0.5020, 0.1430, 0.9970)	(1.0000, 0.5930, 0.0840, 1.0000)
0.8407	0.8595	0.7825
(0.9800, 0.5720, 0.1270, 1.0000)	(1.0000, 0.5560, 0.103, 1.0000)	(1.0000, 0.7000, 0.1160, 1.0000)