Dynamics, synchronization and analog circuit implementation of a discrete neuron-like map with pulsating spiral dynamics

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This document is the results of the research project funded by the National Natural Science Foundation of China (Nos. 62071496, 62061008), and the Innovation Project of Graduate of Central South University (Nos. 2024ZZTS0241). L.M. gratefully acknowledges the support of the "Hundred Talents" program of the University of Electronic Science and Technology of China, of the "Outstanding Young Talents Program (Overseas)" program of the National Natural Science Foundation of China, and of the talent programs of the Sichuan province and Chengdu municipality.