Global phase portraits of planar piecewise linear refracting systems of saddle-saddle type

DOI10.1016/j.nonrwa.2021.103381zbMath1474.34229OpenAlexW3181518534MaRDI QIDQ2665506

Yi Shao, Kuilin Wu, Shimin Li

Publication date: 19 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103381

zbMATH Keywords

singularitieslimit cyclesphase portraitsrefracting systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)

Related Items (4)

Phase portraits of the discontinuous planar piecewise linear differential systems of focus-center type ⋮ The global dynamics of linear refracting systems of focus-node or center-node type ⋮ Phase portraits of planar piecewise linear refracted systems: node-saddle case ⋮ Global dynamics of a degenerate planar piecewise linear differential system with three zones

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