The paper discusses several issues related to the numerical computation of the stable manifold of saddle-like periodic cycles in piecewise smooth dynamical systems. Results are presented for a particular stick-slip system. In the second part of the paper the same mechanical model is used to briefly describe the interaction between fold and adding-sliding bifurcations.
Computation of the basins of attraction in non-smooth dynamical systems
GALVANETTO, UGO;
2010
Abstract
The paper discusses several issues related to the numerical computation of the stable manifold of saddle-like periodic cycles in piecewise smooth dynamical systems. Results are presented for a particular stick-slip system. In the second part of the paper the same mechanical model is used to briefly describe the interaction between fold and adding-sliding bifurcations.
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