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Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs

Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs

Non-smooth systems can generate dynamics and bifurcations that are drastically different from their smooth counterparts. In this paper, we study such homoclinic bifurcations in a piecewise-smooth analytically tractable Lorenz-type system that was recently introduced by Belykh et al. [Chaos 29, 103108 (2019)]. Through a rigorous analysis, we demonstrate that the …