Invariant cones for non-smooth dynamical systems
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Publication:1010062
DOI10.1016/j.matcom.2008.03.010zbMath1168.37005OpenAlexW1970880414MaRDI QIDQ1010062
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
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
Cites Work
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- Dynamics and bifurcations of non-smooth mechanical systems
- Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
- Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
- Border-collision bifurcations including ``period two to period three for piecewise smooth systems
- Practical bifurcation and stability analysis: from equilibrium to chaos.
- Qualitative bifurcation analysis of a non-smooth friction-oscillator model
- Non-smooth dynamical systems
- Generalized Hopf bifurcation emanated from a corner for piecewise smooth planar systems
- On the approximate computation of solutions of ordinary differential equations with discontinuous right-hand sides
- Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter
- Generalized Hopf bifurcation for non-smooth planar systems
- SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS
- Bifurcations in piecewise-smooth feedback systems
- 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
- Bifurcations in nonlinear discontinuous systems
- Corner collision implies border-collision bifurcation
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