Existence of large-amplitude symmetric limit cycles is proven for a subfamily of 3D piecewise linear systems with visible-visible two-fold singularities via a first integral on the switching manifold and time-matching analysis.
Goldbeter, From periodic behavior to chaos in biological systems, IFAC Proceedings Volumes 39 (8) (2006) 321
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Symmetric Limit Cycles in 3D Piecewise Linear Systems with Visible-visible Two-Fold Singularity
Existence of large-amplitude symmetric limit cycles is proven for a subfamily of 3D piecewise linear systems with visible-visible two-fold singularities via a first integral on the switching manifold and time-matching analysis.