Characteristic Analysis of Fractional-Order 4D Hyperchaotic Memristive Circuit

Table 2

Dynamical behaviors of the system with different q.

q	Signs of Lyapunov exponents	Dynamical behaviors
0.75~0.778	0 − − −	Sink
0.779~0.799	0 − − −	Type 1 periodic orbit
0.8~0.801	+ 0 −  −	Four-scroll chaos
0.802	0 − − −	Type 1 periodic orbit
0.803~0.804	+ 0 −  −	Four-scroll chaos
0.805~0.806	0 − − −	Type 2 periodic orbit
0.807	+ 0 −  −	Four-scroll chaos
0.808~0.809	0 − − −	Type 2 periodic orbit
0.81~0.814	+ 0 −  −	Four-scroll chaos
0.815~0.818	+ + 0 −	Three scroll hyperchaos
0.819	+ 0 −  −	Four-scroll chaos
0.82~0.822	+ + 0 −	Three-scroll hyperchaos
0.823~0.825	+ 0 −  −	Four-scroll chaos
0.826~0.829	+ + 0 −	Three-scroll hyperchaos
0.83	+ 0 −  −	Four-scroll chaos
0.831~0.84	+ + 0 −	Three-scroll hyperchaos
0.841	+ 0 −  −	Four-scroll chaos
0.842~0.85	+ + 0 −	Three-scroll hyperchaos
0.851	+ 0 0 −	Two-scroll chaos
0.852~1	+ + 0 −	Two-scroll hyperchaos