Existence, number and stability of periodic orbits induced by homoclinic loops in three-dimensional piecewise linear systems with an admissible saddle-focus

DOI10.1142/s0218127423500839zbMath1537.34061MaRDI QIDQ6537720

Xiao-Song Yang, Lei Wang

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

stabilitybifurcationperiodic orbitsinksaddlehomoclinic looppiecewise linear system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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