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A NEW HYPERCHAOTIC COMPLEX SYSTEM WITH PARAMETRIC ATTRACTORS
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AI
DOI：10.1142/S0218348X21502303.png)
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We propose a new hyperchaotic complex system. The hyperchaotic complex system has a distinctive chaotic attractor, which is called butterfly-like attractor. We find that the state of the system has a complex evolution process with the change of parameters, and the system will produce at least two kinds of attractors, which we call parametric attractors. We systematically study the mechanics, symmetry, dissipation, Lyapunov exponents and Poincare maps of the hyperchaotic complex system. We extend the hyperchaotic complex system to fractional order, and discuss the influence of order and parameters' change on fractional order new hyperchaotic system, and compare it with integer order. What is interesting is that there exist parametric attractors in both integer order and fractional order of the new system. Based on the integer order and fractional order, we further analyze the new hyperchaotic complex system of hybrid order, propose the definition of complex chaotic family and carry out mechanical analysis.
Keyword:
Hyperchaotic Complex System
Butterfly-Like Attractor
Parametric Attractors
Fractional Order
期刊
F
IF:
2.9
论文数:
2.8K
被引数:
5.6K
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