55 citations · 98 across the 3 of their papers we have counts for
3 papers
Hopf-Zero singularities truly unfold chaos
I. Baldomá, S. Ibáñez, T. M. Seara
We provide conditions to guarantee the occurrence of Shilnikov bifurcations in analytic unfoldings of some Hopf-Zero singularities through a beyond all order phenomenon: the expone…
Mechanical response of dense pedestrian crowds to the crossing of intruders
Alexandre Nicolas, Marcelo Kuperman, Santiago Ibanez +2
The increasing number of mass events involving large crowds calls for a better understanding of the dynamics of dense crowds. Inquiring into the possibility of a mechanical descrip…
Heteroclinic cycles arising in generic unfoldings of nilpotent singularities
Pablo G. Barrientos, Santiago Ibáñez, J. Ángel Rodríguez
In this paper we study the existence of heteroclinic cycles in generic unfoldings of nilpotent singularities. Namely we prove that any nilpotent singularity of codimension four in…