On focal stability in dimension two (2007)
Peixoto,Mauricio M., Pugh,Charles C.
In Kupka et al. 2006 appears the Focal Stability Conjecture: the focal decomposition of the generic Riemann structure on a manifold M is stable under perturbations of the Riemann structure. In this...
Structural stability of piecewise smooth systems (2001)
Mireille E. Broucke, Charles C. Pugh
A.F. Filippov has developed a theory of dynamical systems that are governed by piecewise smooth vector fields [2]. It is mainly a local theory. In this article we concentrate on some of its global...