5d hyperchaotic system implementation
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Hi,
I am trying to implement 5d hyperchaotic system to generate a hyperchaotic sequence.
The system is described by the following equations:-
˙ x1 = a (x2 − x1) + x4 + x5
˙ x2 = cx1 − x1x3 − x2
˙ x3 = x1x2 − bx3
˙ x4 = −x1x3 + px4
˙ x5 = qx1
The values of parameters - a, b, c, p and q are 10, 8/3, 28, 1.3 and 2.5, respectively.
Initial states of the 5D hyper-chaotic system are x1 (0) = 0.325, x2 (0) = 0.476, x3 (0) = 1.256, x4 (0) = 0.628 and x5 (0) =1.5.
I am trying to generate a hyperchaotic sequence by the following code:-
I = imread('rgb3.jpg');
[m n p] = size(I);
x1(1) = 0.325; %initial values
x2(1) = 0.476;
x3(1) = 1.256;
x4(1) = 0.628;
x5(1) = 1.5;
a = 10;
b = 8/3;
c = 28;
p = 1.3;
q = 2.5;
for i =1:1:m*n
x1(i+1) = a*(x2(i) - x1(i)) + x4(i) + x5(i)
x2(i+1) = c*x1(i) - x1(i)*x3(i) - x2(i);
x3(i+1) = x1(i)*x2(i) - b*x3(i);
x4(i+1) = - x1(i)*x3(i) + p*x4(i);
x5(i+1) = q*x1(i);
end
After 14 iterations the value of x1,x2,x3,x4,x5 turns out to be infinity and subbsequently after that it results in NaN(Not a number). How can i fix this issue so that I can get a hyperchaotic sequence with which I can scramble my image?
Image has to be scrambled separately in the R,G, B planes with the 3 sequences to be chosen from (X1,X2,X3,X4,X5).
Please help me out with this!
1 commentaire
Yasameen Khalid
le 27 Juin 2022
Hi,
please, Do you had any answer?
I have the same quastion for 5d hyperchaotic
please help me
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