Ricardo Miranda Martins

Sliding Trajectories of Generic Inelastic Piecewise-Linear Dynamical Systems on the Torus

Abstract We consider piecewise smooth differential equations $$Z_{X_-X_+}$$ Z X - X + , where $$X_-$$ X - and $$X_+$$ X + are linear inelastic vector fields on $$\mathbb {R}^3$$ R 3 with the torus as the discontinuity manifold. Under suitable assumptions, we classify the tangency...