Andronov-Hopf and Bogdanov-Takens bifurcations in a Filippov Hindmarsh-Rose system with switching policy for the slow variable

DOI10.1016/j.physd.2024.134217zbMath1545.34072MaRDI QIDQ6558879

Xiaohua Shi, Yu-Ming Feng, Yi Yang, Xiangguang Dai, Changcheng Xiang

Publication date: 21 June 2024

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationBogdanov-Takens bifurcationHindmarsh-Rose modelFilippov system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

This page was built for publication: Andronov-Hopf and Bogdanov-Takens bifurcations in a Filippov Hindmarsh-Rose system with switching policy for the slow variable