Composite One- to Six-Scroll Hidden Attractors in a Memristor-Based Chaotic System and Their Circuit Implementation

Table 1

Composite one- to six-scroll attractors of system (3) with variation of parameter a.

Parameter a	LES	Chaotic or hyperchaotic	The number of scrolls of hidden attractor	Diagrams
1.38	(+, 0, −, −)	Chaotic	Single-scroll	Figure 3(a)
2.92	(+, 0, −, −)	Chaotic	Single-scroll	Figure 3(b)
2.3	(+, +, 0, −)	Hyperchaotic	Double-scroll	Figure 3(c)
2.55	(+, +, 0, −)	Hyperchaotic	Double-scroll	Figure 3(d)
2.946	(+, 0, −, −)	Chaotic	Double-scroll	Figure 3(e)
5	(+, 0, −, −)	Chaotic	Double-scroll	Figure 3(f)
2.974	(+, 0, −, −)	Chaotic	3-scroll	Figure 3(g)
3.117	(+, +, 0, −)	Hyperchaotic	3-scroll	Figure 3(h)
3.03	(+, 0, −, −)	Chaotic	4-scroll	Figure 3(i)
3.076	(+, +, 0, −)	Hyperchaotic	4-scroll	Figure 3(j)
3.055	(+, 0, −, −)	Chaotic	5-scroll	Figure 3(k)
3.125	(+, +, 0, −)	Hyperchaotic	6-scroll	Figure 3(l)