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

Table 3

Values for generating from 2 to 18 scrolls using SPICE.

Scrolls	Values			Time
2	𝐾=1,∝=16.5m,𝑠=60.606, ℎ=1,Isat=100uA	Rc1 = 165 KΩ, Ri1 = 1 kΩ, Rf1 = 1 MegΩ	Ei1=0V	300 s
3	𝐾=1,∝=16.5m,𝑠=60.606, ℎ=1,Isat=100uA	Rc1 = Rc2 = 165 KΩ,; Ri1 = Ri2 = 1 kΩ, Rf1 = Rf2 = 1 MegΩ	Ei1=+1V,Ei2=−1V	500 s
4	𝐾=1,∝=16.5m,𝑠=60.606, ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc3 = 165 KΩ,  Ri1 = ⋯ = Ri3 = 1 kΩ Rf1 = ⋯ =Rf3 = 1 MegΩ	Ei1=+2V,Ei2=−2V,Ei3=0V	700 s
5	𝐾=1,∝=16.5m,𝑠=60.606, ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc4 = 165 KΩ, Ri1 = ⋯ = Ri4 = 1 kΩ, Rf1 = ⋯ = Rf4 = 1 MegΩ	Ei1=+1V,Ei2=−1V,Ei3=+3V,Ei4=−3V	900 s
6	𝐾=1,∝=16.5m,𝑠=60.606,ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc5 = 165 KΩ, Ri1 = ⋯ = Ri5 = 1 KΩ, Rf1 = ⋯ = Rf5 = 1 MegΩ	Ei1=+2V,Ei2=−2V,Ei3=+4V,Ei4=−4V,Ei5=0V	1000 s
7	𝐾=1,∝=16.5m,𝑠=60.606, ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc6 = 165 KΩ, Ri1 = ⋯ = Ri6 = 1 kΩ, Rf1 = ⋯ = Rf6 = 1 MegΩ	Ei1=+5V,Ei2=−5V,Ei3=+1V,Ei4=−1V,Ei5=+3V,Ei6=−3V	3000 s
8	𝐾=1,∝=16.5m,𝑠=60.606,ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc7 = 165 KΩ, Ri1 = ⋯ = Ri7 = 1 kΩ, Rf1 = ⋯ = Rf7 = 1 MegΩ	Ei1=+4V,Ei2=−4V,Ei3=+2V,Ei4=−2V,Ei5=+6V,Ei6=−6V,Ei7=0V.	5000 s
9	𝐾=1,∝=16.5m,𝑠=60.606, ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc8 = 165 KΩ, Ri1 = ⋯ = Ri8 = 1 kΩRf1 = ⋯ = Rf8 = 1 MegΩ	Ei1=+3V,Ei2=−3V,Ei3=+1V,Ei4=−1V,Ei5=+5V,Ei6=−5V,Ei7=+7V,Ei8=−7V	6000 s
10	𝐾=1,∝=16.5m,𝑠=60.606,ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc9 = 165 KΩ, Ri1 = ⋯ = Ri9 = 1 kΩ Rf1 = ⋯ = Rf9 = 1 MegΩ	Ei1=+8V,Ei2=−8V,Ei3=+4V,Ei4=−4V,Ei5=+2V,Ei6=−2V,Ei7=+6V,Ei8=−6V,Ei9=0V	7000 s
11	𝐾=1,∝=16.5m,𝑠=60.606, ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc10 = 165 KΩ, Ri1 = ⋯ = Ri10 = 1 kΩ Rf1 = ⋯ = Rf10 = 1 MegΩ	Ei1=+9V,Ei2=−9V,Ei3=+7V,Ei4=−7V,Ei5=+5V,Ei6=−5V,Ei7=+3V,Ei8=−3V,Ei9=+1V,Ei10=−1V	9000 s
12	𝐾=1,∝=16.5m,𝑠=60.606, ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc11 = 165 KΩ, Ri1 = ⋯ = Ri11 = 1 kΩ, Rf1 = ⋯ = Rf12 = 1 MegΩ	Ei1=+10V,Ei2=−10V,Ei3=+8V,Ei4=−8V,Ei5=+6V,Ei6=−6V,Ei7=+4V,Ei8=−4V,Ei9=2V,Ei10=−2V,Ei11=0V	12000 s
13	𝐾=1,∝=16.5m,𝑠=60.606, ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc12 = 165 KΩ, Ri1 = ⋯ = Ri12 = 1 kΩ, Rf1 = ⋯ = Rf12 = 1 MegΩ	Ei1=+9V,Ei2=−9V,Ei3=+7V,Ei4=−7V,Ei5=+5V,Ei6=−5V,Ei7=+3V,Ei8=−3V,Ei9=1V,Ei10=−1V,Ei11=11V,Ei12=−11V	13000 s
14	𝐾=1,∝=16.5m,𝑠=60.606,ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc13 = 165 KΩ, Ri1 = ⋯ = Ri13 = 1 kΩ, Rf1 = ⋯ = Rf13 = 1 MegΩ	Ei1=8V,Ei2=−8V,Ei3=4V,Ei4=−4V,Ei5=+2V,Ei6=−2V,Ei7=+6V,Ei8=−6V,Ei9=0V,Ei10=10V,Ei11=−10V,Ei12=12V,Ei13=−12V	14000 s
15	𝐾=1,∝=16.5m,𝑠=60.606,ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc14 = 165 KΩ, Ri1 = ⋯ = Ri14 = 1 kΩ, Rf1 = ⋯ = Rf14 = 1 MegΩ	Ei1=+9V,Ei2=−9V,Ei3=+7V,Ei4=−7V,Ei5=+5V,Ei6=−5V,Ei7=+3V,Ei8=−3V,Ei9=1V,Ei10=−1V,Ei11=11V,Ei12=−11V,Ei13=13V,Ei14=−13V	15000 s
16	𝐾=1,∝=16.5m,𝑠=60.606,ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc15 = 165 KΩ, Ri1 = ⋯ = Ri15 = 1 kΩ, Rf1 = ⋯ = Rf15 = 1 MegΩ	Ei1=+8V,Ei2=−8V,Ei3=+4V,Ei4=−4V,Ei5=+2V,Ei6=−2V,Ei7=+6V,Ei8=−6V,Ei9=0V,Ei10=10V,Ei11=10V,Ei12=12V,Ei13=−12V,Ei14=14V,Ei15=−14V	17000 s
17	𝐾=1,∝=16.5m,𝑠=60.606,ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc16 = 165 KΩ, Ri1 = ⋯ = Ri16 = 1 kΩ, Rf1 = ⋯ = Rf16 = 1 MegΩ	Ei1=+9V,Ei2=−9V,Ei3=+7V,Ei4=−7V,Ei5=+5V,Ei6=−5V,Ei7=+3V,Ei8=−3V,Ei9=1V,Ei10=−1V,Ei11=11V,Ei12=−11V,Ei13=13V,Ei14=−13V,Ei15=15V,Ei16=−15V	18000 s
18	𝐾=1,∝=16.5m,𝑠=60.606,ℎ=1,Isat=100uA	Rc1 = ⋯ = Rc17 = 165 KΩ, Ri1 = ⋯ = Ri17 = 1 kΩ, Rf1 = ⋯ = Rf17 = 1 MegΩ	Ei1=+8V,Ei2=−8V,Ei3=+4V,Ei4=−4,Ei5=+2V,Ei6=−2V,Ei7=+6V,Ei8=−6V,Ei9=0V,Ei10=10V,Ei11=−10V,Ei12=12V,Ei13=−12V,Ei14=14V,Ei15=−14V,Ei16=16V,Ei17=−16𝑉	20000 s