1. Border collision bifurcation of a resonant closed invariant curve.
- Author
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Zhusubaliyev, Zh. T., Avrutin, V., Sushko, I., and Gardini, L.
- Subjects
NEIGHBORHOODS ,BIFURCATION diagrams - Abstract
This paper contributes to studying the bifurcations of closed invariant curves in piecewise-smooth maps. Specifically, we discuss a border collision bifurcation of a repelling resonant closed invariant curve (a repelling saddle-node connection) colliding with the border by a point of the repelling cycle. As a result, this cycle becomes attracting and the curve is destroyed, while a new repelling closed invariant curve appears (not in a neighborhood of the previously existing invariant curve), being associated with quasiperiodic dynamics. This leads to a global restructuring of the phase portrait since both curves mentioned above belong to basin boundaries of coexisting attractors. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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