Method for realizing integer order and fractional order automatic switching chaotic system and analog circuit
A chaotic system and automatic switching technology, applied in the direction of digital transmission system, logic circuit, transmission system, etc., can solve complex problems
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[0039] The present invention will be described in further detail below with reference to the drawings and preferred embodiments.
[0040] See Figure 1-Figure 7 First, construct an integer-order and fractional-order chaotic system that automatically switches. The integer-order chaotic system i selected in this preferred embodiment is:
[0041] dx / dt = a ( y - x ) dx / dt = bx + cy - xz dx / dt = x 2 - hz a=20, b=14, c=10.6, h=2.8
[0042] The selected fractional chaotic system ii is:
[0043] d q x / dt q = a ( y - x ) d q y / dt q = bx + cy - xz d q z / dt q = x 2 - hz ii 0
[0044] Construct a selection function system iii, and combine chaotic systems i and ii into a new chaotic system iv that automatically switches between integer order and fractional order:
[0045] f ...
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