Exploring dynamic behavior and bifurcations in a Filippov neuronal system with a double-tangency singularity
Yi Yang,
Rongfeng Li,
Xiangguang Dai
et al.
Abstract:<abstract><p>We investigated the phenomenon of pseudo-Hopf bifurcation in a Filippov Hindmarsh-Rose neuronal system with threshold switching, and the existence of crossing limit cycles was proved by constructing the half-return mapping. Through the threshold control, the firing state of the system could be switched, allowing transitions from a non-periodic state to a periodic state, as well as the evolution from spiking to bursting. Furthermore, through threshold switching, the system exhibited the… Show more
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