4 citations · 10 across the 5 of their papers we have counts for
5 papers
A rigorous derivation of the asymptotic wavenumber of spiral wave solutions of the complex Ginzburg-Landau equation
Maria Aguareles, Inmaculada Baldomá, Tere M. -Seara
In this work n-armed Archimedian spiral wave solutions of the complex Ginzburg-Landau equation are considered. These solutions are showed to depend on two characteristic parameters…
Hyperbolic dynamics and oscillatory motions in the 3 Body Problem
Marcel Guardia, Pau Martín, Jaime Paradela +1
Consider the planar 3 Body Problem with masses . In this paper we address two fundamental questions: the existence of oscillatory motions and of chaotic hyperbolic s…
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…
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…