Invariant manifolds for nonsmooth systems with sliding mode

DOI10.1016/j.matcom.2014.02.004OpenAlexW2055175270MaRDI QIDQ2228602

Yanyan Li

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2014.02.004

zbMATH Keywords

periodic orbitsnon-smooth systemsinvariant manifoldinvariant conessliding motiongeneralized Hopf bifurcationnonlinear piecewise dynamical systems

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34Cxx) Local and nonlocal bifurcation theory for dynamical systems (37Gxx)

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Simulation of hybrid systems under Zeno behavior using numerical infinitesimals ⋮ Bifurcation of periodic orbits in discontinuous systems ⋮ Bifurcation of piecewise smooth manifolds from 3D center-type vector fields ⋮ Bifurcation of Nonhyperbolic Limit Cycles in Piecewise Smooth Planar Systems with Finitely Many Zones ⋮ Bifurcation of limit cycles in piecewise-smooth systems with intersecting discontinuity surfaces ⋮ Bifurcations in four-dimensional switched systems ⋮ On the number of limit cycles in general planar piecewise linear differential systems with two zones having two real equilibria ⋮ Nonlinear Behavior of a Novel Switching Jerk System ⋮ Model reduction of non-densely defined piecewise-smooth systems in Banach spaces ⋮ Discontinuous phenomena in bioreactor and membrane reactor systems ⋮ Bifurcation of Periodic Orbits Crossing Switching Manifolds Multiple Times in Planar Piecewise Smooth Systems

Cites Work

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• Saddle-node bifurcation of invariant cones in 3D piecewise linear systems
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• BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS
• LIMIT CYCLE BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• Elements of applied bifurcation theory

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