Table 2.

Detailed characteristics of the non-chaotic, periodic signals.

Symbol	Properties				Sample signal	Sample phase portrait
OSC_1⁴⁰	Name	Undamped oscillator 1			Fig. 11	Fig. 12
	Class	periodic	Dim	2
	Params	a = 0.5, b = −0.5
	Init. cond.	x₀ = [1, 1], T_max = 100
	State eqn.	${\dot{x}}_{1} = a x_{2}$
	State eqn.	${\dot{x}}_{2} = b x_{1}$
	Descr.	Linear continuous dynamical system – slow oscillation with constant amplitude
OSC_2⁴¹	Name	Undamped oscillator 2			Fig. 13	Fig. 14
	Class	periodic	Dim	2
	Params	a = 0.5, b = −0.5
	Init. cond.	x₀ = [0.9, −0.9], T_max = 250
	State eqn.	${\dot{x}}_{1} = a x_{2}$
	State eqn.	${\dot{x}}_{2} = b x_{1}$
	Descr.	Linear continuous dynamical system – fast oscillation with constant amplitude
DOSC_1⁴²	Name	Damped oscillator 1			Fig. 15	Fig. 16
	Class	periodic	Dim	2
	Init. cond.	x₀ = [1, 1], T_max = 100
	State eqn.	${\dot{x}}_{1} = x_{2}$
	State eqn.	${\dot{x}}_{2} = - 0.2 x_{1} - 0.08 x_{2} + 0.01$
	Descr.	Linear continuous dynamical system – fast oscillations with decreasing amplitude
DOSC_2⁴³	Name	Damped oscillator 2			Fig. 17	Fig. 18
	Class	periodic	Dim	2
	Init. cond.	x₀ = [0.4, 0.3], T_max = 100
	State eqn.	${\dot{x}}_{1} = x_{2}$
	State eqn.	${\dot{x}}_{2} = - 0.04 x_{1} - 0.016 x_{2} + 0.01$
	Descr.	Linear continuous dynamical system – slow oscillations with decreasing amplitude
IOSC⁴⁴	Name	Rising oscillator			Fig. 19	Fig. 20
	Class	periodic	Dim	2
	Init. cond.	x₀ = [0.1, 0.1], T_max = 100
	State eqn.	${\dot{x}}_{1} = x_{2}$
		${\dot{x}}_{2} = - 0.2 x_{1} + 0.08 x_{2} + 0.01$
	Descr.	Linear continuous dynamical system – oscillations with growing amplitude