TY  - EJOU
AU  - Colombo, A.  
AU  - Galvanetto, U.  

TI  - Stable Manifolds of Saddles in Piecewise Smooth Systems
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2009
VL  - 53
IS  - 3
SN  - 1526-1506

AB  - The paper addresses the problem of computing the stable manifolds of equilibria and limit cycles of saddle type in piecewise smooth dynamical systems. All singular points that are generically present along one-dimensional or two-dimensional manifolds are classified and such a classification is then used to define a method for the numerical computation of the stable manifolds. Finally the proposed method is applied to the case of a stick-slip oscillator.
KW  - basin of attraction
KW  -  discontinuous
KW  -  dynamical system
KW  -  friction oscillator
KW  -  numerical method
KW  -  piecewise smooth
KW  -  stable manifold

DO  - 10.3970/cmes.2009.053.235