Flux Reflection Model of the Ferroresonant Circuit

Table 3

Steady states and bifurcations of the flux reflection model of ferroresonant circuit.

Increasing U	Decreasing U	Steady states and bifurcations
0<𝑈<1.15	0<𝑈<0.8	Monoharmonic steady state, Figure 7(a)
𝑈=1.15	—	Forward ferroresonant jump
—	𝑈=0.8	Reverse ferroresonant jump
1.15≤𝑈<1.7	0.8≤𝑈<1.7	Odd higher harmonic steady state, Figure 7(b)
𝑈=1.7		Pitchfork bifurcation
1.7≤𝑈<2.25		Even and odd higher harmonic steady state, Figure 7(c)
Not obtained		Period-doubling bifurcation
		Period-two steady state
		Period-doubling bifurcation
		Period-four steady state
2.25≤𝑈≤3		Chaotic steady state, Figure 7(d)