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. 2023 Feb 7;10:79. doi: 10.1038/s41597-023-01978-7

Table 4.

Detailed characteristics of the non-chaotic, non-periodic signals.

Symbol Properties Sample signal Sample phase portrait
DS_148 Name Damped system 1 Fig. 27 Fig. 28
Class non-periodic Dim 3
Init. cond. x0 = [1.8, 2.3, 3], Tmax = 100
State eqn. x.1=0.01x1+0.01x2
x.2=0.001x10.01x2
x.3=0.05x10.03x3
Descr. Linear continuous dynamical system – slow fading signals
DS_249 Name Damped system 2 Fig. 29 Fig. 30
Class non-periodic Dim 3
Init. cond. x0 = [3, −1, 2], Tmax = 100
State eqn. x.1=0.05x1+0.01x2
x.2=0.001x10.01x2
x.3=0.05x10.08x3
Descr. Linear continuous dynamical system – fast fading signals