Phase portraits of planar piecewise linear refracting systems: focus-saddle case

DOI10.1016/j.nonrwa.2020.103153zbMath1457.34046OpenAlexW3031244554MaRDI QIDQ2208754

Shimin Li, Jaume Llibre

Publication date: 4 November 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103153

zbMATH Keywords

limit cyclephase portraitsrefracting systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36)

Related Items (7)

Phase portraits of the discontinuous planar piecewise linear differential systems of focus-center type ⋮ Global phase portraits of planar piecewise linear refracting systems of saddle-saddle type ⋮ The global dynamics of linear refracting systems of focus-node or center-node type ⋮ Uniqueness and stability of limit cycles in planar piecewise linear differential systems without sliding region ⋮ Phase portraits of planar piecewise linear refracted systems: node-saddle case ⋮ Global dynamics of a degenerate planar piecewise linear differential system with three zones ⋮ A new simple proof for Lum-Chua's conjecture

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