Experimental Study Of Time-delay Chaotic System And Control Circuit

Researching the problem of nonlinear in time-delay dynamical system is one of theleading edge topics in nonlinear dynamics domains. From the actual needs, a nerve cell time-delayed chaotic system and a two-scroll time-delayed chaotic system as well as an absolutevalue time-delayed chaotic system are researched by means of theoretical analysis, numericalcalculation and circuit experiment. Based on the nerve cell time-delayed chaotic system, threekinds of control methods are used, and expected effects are obtained.The necessary conditions of stability of the three time-delayed chaotic systems aretheoretically calculated. Bases on the results of theoretical analysis and numerical calculationof the nonlinear time-delay dynamical systems, a time-delayed unit is constructed, thetime-delayed chaotic signal is obtained by a low pass filter made of capacitances andinductances delays. The chaotic circuits are designed and realized, each piecewise linear unitis analyzed and the piecewise linear characteristic curve are acquired, the experimental resultsare agreed with results of numerical simulation. Finally by means of nonlinear feedbackcontrol method, periodic signal variable control method and periodic signal parametermodulation method, the control of the nerve cell time-delayed chaotic system is studied andexpected effects are obtained.The piecewise linear time-delayed chaotic system is researched by circuit experiment,the experimental results provide important theoretical foundation and experimental basis forthe actual delay chaotic system.