Invariant cones for non-smooth dynamical systems

DOI10.1016/j.matcom.2008.03.010zbMath1168.37005OpenAlexW1970880414MaRDI QIDQ1010062

Tassilo Kuepper

Publication date: 3 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.03.010

zbMATH Keywords

periodic solutionsbifurcationpiecewise linear systemsinvariant cones

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Periodic orbits of vector fields and flows (37C27) Stability theory for smooth dynamical systems (37C75)

Related Items (13)

Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems ⋮ Dimension reduction for slow-fast, piecewise-linear ODEs and obstacles to a general theory ⋮ Bifurcation of periodic orbits in discontinuous systems ⋮ Chains in \(3D\) Filippov systems: a chaotic phenomenon ⋮ Saddle-node bifurcation of invariant cones in 3D piecewise linear systems ⋮ Reduction to invariant cones for non-smooth systems ⋮ Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry ⋮ Existence and Stability of Invariant Cones in 3-Dim Homogeneous Piecewise Linear Systems with Two Zones ⋮ Bifurcations in four-dimensional switched systems ⋮ Periodic orbits and invariant cones in three-dimensional piecewise linear systems ⋮ Invariant manifolds for nonsmooth systems with sliding mode ⋮ On the Number of Invariant Cones and Existence of Periodic Orbits in 3-dim Discontinuous Piecewise Linear Systems ⋮ Existence of Invariant Cones in General 3-Dim Homogeneous Piecewise Linear Differential Systems with Two Zones

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