44 citations · 234 across the 29 of their papers we have counts for
4 papers · 1 filter
A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems
Carles Bonet-Reves, Tere M. Seara, Enric Fossas +1
Piecewise smooth dynamical systems make use of discontinuities to model switching between regions of smooth evolution. This introduces an ambiguity in prescribing dynamics at the d…
Stability of the phase motion in race-track microtons
Yu. A. Kubyshin, O. Larreal, R. Ramírez-Ros +1
We model the phase oscillations of electrons in race-track microtrons by means of an area preserving map with a fixed point at the origin, which represents the synchronous trajecto…
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (II). The generic case
I. Baldomá, O. Castejón, T. M. Seara
In this paper we prove the breakdown of the two-dimensional stable and unstable manifolds associated to two saddle-focus points which appear in the unfoldings of the Hopf-zero sing…
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (I)
I. Baldomá, O. Castejón, T. M. Seara
In this paper we study a beyond all order phenomenon which appears in the analytic unfoldings of the Hopf-zero singularity. It consists in the breakdown of a two-dimensional hetero…