5 problems

Let $\gamma_w$ denote the solution that, in the singular limit, is tangent at the strong folded-node singularity to the weak eigendirection of the desingularized system. Let…

Let $p_\ast$ be an unstable equilibrium of the reduced system and let $p_{\ast,\epsilon}=p_\ast+O(\epsilon)$ be its perturbed equilibrium in the full system. Denote by…

Let $W_{\textrm{loc}}^{\textup{c}}(0)$ be the local center manifold from Theorem … can be combined with the results on regular fold points to describe certain properties of the geo…

The paper considers adaptive networks with a linear average consensus protocol, including a slowly varying edge whose weight may range over the real numbers. The resulting dynamics…

Let $M_0^{\lambda,m,n}$ and $M_1^{\lambda,m,n}$ be the equilibria of the dynamical system, with $W^u(M_0)$ denoting the unstable manifold of $M_0$ and $W^s(M_1)$ denoting the stabl…