Reduction to invariant cones for non-smooth systems

DOI10.1016/j.matcom.2010.10.004zbMath1210.65199OpenAlexW1984893958MaRDI QIDQ631226

Hany A. Hosham, Tassilo Kuepper

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.10.004

zbMATH Keywords

periodic orbitsPoincaré mapinvariant conescenter manifoldsgraphical examplesnon-smooth dynamical systemsgeneralized Hopf bifurcation

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

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Bifurcation of periodic orbits in discontinuous systems, Chains in \(3D\) Filippov systems: a chaotic phenomenon, Bifurcation of piecewise smooth manifolds from 3D center-type vector fields, Saddle-node bifurcation of invariant cones in 3D piecewise linear systems, Bifurcation of limit cycles in piecewise-smooth systems with intersecting discontinuity surfaces, Existence and Stability of Invariant Cones in 3-Dim Homogeneous Piecewise Linear Systems with Two Zones, Bifurcations in four-dimensional switched systems, Nonlinear Behavior of a Novel Switching Jerk System, On the Number of Invariant Cones and Existence of Periodic Orbits in 3-dim Discontinuous Piecewise Linear Systems, Discontinuous phenomena in bioreactor and membrane reactor systems, Lyapunov Coefficients for Hopf Bifurcations in Systems with Piecewise Smooth Nonlinearity, Existence of Invariant Cones in General 3-Dim Homogeneous Piecewise Linear Differential Systems with Two Zones

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