Convergence and synchronization in heterogeneous networks of smooth and piecewise smooth systems

Synchronization and Convergence of Piecewise Smooth Systems and Networks

Chaotification of piecewise smooth systems

In this paper, a mathematical analysis of a possible way to chaos for piecewise smooth systems submitted to one of it’s specific bifurcations, namely the sliding , the corner and the grazing ones, is proposed. This study is based on period doubling method and Implcit function theorem.

the investigation of research articles in applied linguistics: convergence and divergence in iranian elt context

چکیده ندارد.

Hidden Degeneracies in Piecewise Smooth Dynamical Systems

When a flow suffers a discontinuity in its vector field at some switching surface, the flow can cross through or slide along the surface. Sliding can be understood as the flow along an invariant manifold inside a switching layer. It turns out that the usual method for finding sliding modes – the Filippov convex combination or Utkin equivalent control – results in a degeneracy in the switching l...

Piecewise Smooth Perturbations of Integrable Systems

We review several recent results showing that small piecewise smooth perturbations of integrable systems may exhibit unstable behavior on the set of initial condition of large measure. We also present open questions related to this subject.