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border collision bifurcation 1chaotic dynamics 1flip bifurcation 1multistability 1piecewise linear maps 1

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math.DS2026

Noninvertibility and Bifurcation Phenomena in a Four-Partitions Piecewise Linear Map

Wirot Tikjha

The paper analyzes a two‑dimensional piecewise‑linear map with four partitions, describing how fixed points lose stability through flip and border‑collision bifurcations, leading t…