Global analysis on a continuous planar piecewise linear differential system with three zones
DOI:
https://doi.org/10.58997/ejde.2023.83Keywords:
Piecewise linear system; global phase portrait; bifurcation; invariant manifold; limit cycle; homoclinic loopAbstract
This article concerns the global dynamics of a continuous planar piecewise linear differential system with three zones. We give global phase portraits in the Poincare disc and classify bifurcation diagrams under certain parametric conditions, when the dynamics of central linear zone is anti-saddle. Rich dynamical behaviors are demonstrated, from which we observe homoclinic loops appearing in three linear zones and limit cycles occurring in three linear zones which surround a node or node-focus.
For more information see https://ejde.math.txstate.edu/Volumes/2023/83/abstr.html
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