Noose structure and bifurcations of periodic orbits in reversible three-dimensional piecewise linear differential systems

DOI10.1007/s00332-015-9251-zzbMath1334.34088OpenAlexW2038268783MaRDI QIDQ897156

E. García-Medina, Victoriano Carmona, Antonio E. Teruel, Fernando Fernández-Sánchez

Publication date: 17 December 2015

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-015-9251-z

zbMATH Keywords

bifurcationlimit cycleconnecting orbitpath-followingpiecewise-linear vector field

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (4)

Pseudo-Bautin Bifurcation in 3D Filippov Systems ⋮ Periodic trajectories in planar discontinuous piecewise linear systems with only centers and with a nonregular switching line ⋮ Including homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systems ⋮ On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system

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