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A new two-scroll chaotic system with two nonlinearities: dynamical analysis and circuit simulation

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Figure

Figure 1. Lyapunov chaos exponents (LCE) of the new two-scroll chaotic system (1)  for (x(0), y(0), z(0))=(0.2, 0.2, 0.2) and (a, b, c)=(6, 1, 50)
Figure 2. Numerical simulations of phase portraits of the new two-scroll chaotic system (1)   for (x(0), y(0), z(0))=(0.2, 0.2, 0.2) and (a, b, c)=(6, 1, 50) (a) x-y plane, (b) y-z plane,
Figure 4. Phase portraits of system (1) displayed in the x–z plane when changing the value of  parameter a: (a) a=20 (period-1 state), (b) a=16.5 (period-2 state) (c) a=15 (chaotic behavior)
Figure 7. Phase portraits of various coexisting attractors in the x−z plane: (a) the coexisting  periodic attractors for a=6.5, (b) the coexisting chaotic and periodic attractors for a=7.5
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