Limit cycles and global dynamics of planar piecewise linear refracting systems of focus-focus type

DOI10.1016/j.nonrwa.2020.103228zbMath1457.34031OpenAlexW3090096152MaRDI QIDQ2215517

Yanyan Li

Publication date: 13 December 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.2020.103228

zbMATH Keywords

limit cyclesglobal phase portraitsfocus-focus typepiecewise linear refracting systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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 (5)

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 ⋮ Impact limit cycles in the planar piecewise linear hybrid systems ⋮ Phase portraits of planar piecewise linear refracted systems: node-saddle case

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