Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields

DOI10.1016/j.jmaa.2014.03.093zbMath1310.34020OpenAlexW2039422866MaRDI QIDQ489037

Tiago de Carvalho, Marco Antonio Teixeira

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.093

zbMATH Keywords

bifurcationstructural stabilitybasin of attractioncusp-fold singularitypiecewise smooth vector field

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Global analysis of the dynamics of a piecewise linear vector field model for prostate cancer treatment ⋮ Asymptotic stability and bifurcations of 3D piecewise smooth vector fields ⋮ Regularization of saddle-fold singularity for nonsmooth differential systems ⋮ Sliding mode control in a mathematical model to chemoimmunotherapy: the occurrence of typical singularities ⋮ On constructing two-point optimal fourth-order multiple-root finders with a generic error corrector and illustrating their dynamics ⋮ Hopf and homoclinic bifurcations on the sliding vector field of switching systems in \(\mathbb{R}^3\): a case study in power electronics ⋮ A triparametric family of optimal fourth-order multiple-root finders and their dynamics

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