Discontinuous bifurcations of periodic solutions
Copyright policy )Discontinuous bifurcations of periodic solutions
The authors discuss some aspects of bifurcations of periodic solutions in systems with a discontinuous vector field. Using the example \[ m\ddot x+C(\dot x) + K(x) = f_0\sin(\omega t), \] the authors demonstrate, under certain assumptions on the functions \(K(x)\) and \(C(\dot x)\), how the Floquet multipliers of a discontinuous system can jump when the system parameters are changed. Numerical examples show a discontinuous fold and symmetry-breaking bifurcations.
- Technical University Eindhoven Netherlands
stick-slip, Bifurcation theory for ordinary differential equations, Modelling and Simulation, bifurcation, Discontinuous ordinary differential equations, discontinuous, Periodic solutions to ordinary differential equations, dry friction, Computer Science Applications
stick-slip, Bifurcation theory for ordinary differential equations, Modelling and Simulation, bifurcation, Discontinuous ordinary differential equations, discontinuous, Periodic solutions to ordinary differential equations, dry friction, Computer Science Applications
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