Circuitry implementation of a novel nonautonomous hyperchaotic Liu system based on sine input |
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Authors: | Luo Xiao-Hua |
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Institution: | College of Communication and Information Engineering,
Chongqing University of Posts and Telecommunications,
Chongqing \rm
400065, China |
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Abstract: | Based on the three-dimensional Liu system with a nonlinear term of
square, this paper appends a state variable to the system, and
further adds a driving signal of the sine signal to construct a
novel 4-demensional nonautonomous hyperchaotic Liu system. The
appended variable is formed by the product of the nonlinear
quadratic term of the original state variables and the driving
signal. Through adjusting the frequency of the driving signal, the
system can be controlled to show some different dynamic behaviors.
By numerical simulations, the Lyapunov exponent spectrums,
bifurcation diagrams and phase diagrams of the novel systems are
analyzed. Furthermore, the corresponding hardware circuits are
implemented. Both the experimental results and the simulation
results confirm that the method is feasible. The method, which
adjusts the frequency of the input sine signal to control the system
to show different dynamic behaviors, can make the dynamic property
of the system become more complex, but easier to be controlled
accurately as well. |
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Keywords: | chaos hyperchaos Liu system frequency control |
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