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482 Mathematical Techniques of Fractional Order Systems
1.2
1
x 0.8
0.6
0.4
0.06 0.07 0.08 0.09 0.1 0.11 0.12
b
FIGURE 16.7 Bifurcation diagram of system with infinite equilibria (16.10) for a 5 0:1, c 5 1
when changing the value of the parameter b from 0.06 to 0.12.
0.1
0.08
0.06
MLE 0.04
0.02
0
0.06 0.07 0.08 0.09 0.1 0.11 0.12
b
FIGURE 16.8 Maximum Lyapunov exponents of system with infinite equilibria (16.10) for
a 5 0:1, c 5 1 and bA 0:06; 0:12.
½
Researchers have shown an increased interest in multistability (Hens
et al., 2015; Li and Sprott, 2014b). It is now well-established from a variety
of studies that multistability leads to different qualitative behavior in a given
nonlinear dynamical system for the same parameter values (Li and Sprott,
2014b). A considerable amount of literature has been published on multi-
stability. Multistability was reported in different areas such as rigid body
motion with linear feedback control (Leipnik and Newton, 1981), laser diode
with optical feedback (Masoller, 1994), power system model (Vaithianathan
