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在系统中引入时滞,相应的动力学系统成为非线性时滞动力系统,它的解空间是无限维的,具有更加丰富的动力学行为。目前时滞系统的研究多为理论和数值仿真。时滞实验方面,国内曾对时滞滤波器抑制起重机载荷残留摆动的理论进行实验验证,国外的学者则将时滞实验的重点放在对于时滞诱发双耦合非线性电路和双耦合热学光学振子的振幅死区的研究方面。文献[4]采用摄动增量法研究了时滞双向联想记忆神经网络由时滞诱发的周期解和完全同步周期解,给出了较为准确的理论分析结果。在这一理论背景下,本文设计了基于MAT-LAB/Simulink的数值仿真模块图,以及基于TMS320F2812芯片的时滞神经网络电路实验,结果表明数值仿真和实验结果与理论分析结果相吻合,从而进一步验证了摄动增量法理论分析的准确性。
The introduction of time delay in the system, the corresponding dynamical system becomes a nonlinear time-delay dynamical system, its solution space is infinite dimension, has a richer dynamic behavior. At present, the research of time-delay system is mostly theoretical and numerical simulation. In terms of time delay experiment, the theory of time delay filter to suppress the residual load swing of crane has been experimentally verified in China, while the foreign scholars focus on the time delay experiment for the time delay induced double coupled nonlinear circuit and double coupled thermal optical oscillator Amplitude dead zone research. In [4], the perturbation incremental method is used to study the periodic solution and the fully synchronous periodic solution induced by delay in bidirectional associative memory neural network with time delay. The more accurate theoretical analysis results are given. In this theoretical background, this paper designed a numerical simulation module based on MAT-LAB / Simulink, as well as the circuit based on TMS320F2812 delay neural network test results show that the numerical simulation and experimental results are consistent with the theoretical analysis, thus further The accuracy of the theoretical analysis of the incremental perturbation method is verified.