A multi-scroll hyperchaotic signal generator and its application method
A signal generator and multi-scroll technology, applied in the direction of secure communication through chaotic signals, secure communication devices, digital transmission systems, etc., can solve problems such as weak security, achieve enhanced security, large-scale engineering application value, and facilitate theory Effects of Analysis and Circuit Simulation
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[0035] The mathematical model corresponding to a multi-scroll hyperchaotic signal generator circuit in the embodiment of the present invention is:
[0036]
[0037] The mathematical model is a generalized Jerk system, where x, y, z, w, u are state variables, a, b, c, d, e are system control parameters, sgn(x+k i ) is a symbolic function. Under system control parameters a=1, b=0.5, c=2, d=2, e=2, initial conditions (0.1, 0.1, 0.1, 0.1, 0.1), when n=3, k 1 = 0,k 2 = 1,k 3 =-1, the system can generate four scrolls, when n=5,k 1 =0,,k 2 = 1,k 3 =-1,k 4 =2,k 5 =-2, the system can generate six scrolls, when n=7,k 1 =0,,k 2 = 1,k 3 =-1,k 4 =2,k 5 =-2,k 6 =3,k 7 =-3, the system can generate eight scrolls. The Lyapunov exponents calculated by the system through Matlab are: λ 1 =0.13223,
[0038] lambda 2 =0.13223,λ 3 =-1.132,λ 4 =-1.1324,λ 5 =-2, there are two positive Lyapunov exponents λ 1 ,λ 2 , so the system produces a hyperchaotic attractor.
[0039] Usi...
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