Generalized synchronizing method of isomer time-delay chaotic systems
A chaotic system and chaotic synchronization technology, which is applied in transmission systems, synchronization devices, digital transmission systems, etc., can solve the problems of complex dynamic characteristics and few reports of time-delay systems, and achieve the effect of easy implementation and wide application prospects
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[0019] Embodiment: two-dimensional time-delay system, its kinetic equation is:
[0020]
[0021] (1)
[0022] when , When , the system is in a chaotic state, and its time domain sequence and chaotic attractor are as follows: figure 1 , figure 2 shown.
[0023] Assuming that system (1) is a driving system, its response system equation is:
[0024]
[0025] (2)
[0026] in is the input controller. when And the parameter , When , the system (2) exhibits chaotic characteristics, and its time domain sequence and chaotic attractor are as follows image 3 , Figure 4 shown.
[0027] Theorem 1. If the input controller
[0028]
[0029] (3)
[0030] Then the drive system (3) and the response system (4) are asymptotically synchronized.
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