Non-smooth saddle-node bifurcations III: strange attractors in continuous time
Dynamical Systems
2015-12-31 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
Non-smooth saddle-node bifurcations give rise to minimal sets of interesting geometry built of so-called strange non-chaotic attractors. We show that certain families of quasiperiodically driven logistic differential equations undergo a non-smooth bifurcation. By a previous result on the occurrence of non-smooth bifurcations in forced discrete time dynamical systems, this yields that within the class of families of quasiperiodically driven differential equations, non-smooth saddle-node bifurcations occur in a set with non-empty C2-interior.
Cite
@article{arxiv.1512.08763,
title = {Non-smooth saddle-node bifurcations III: strange attractors in continuous time},
author = {Gabriel Fuhrmann},
journal= {arXiv preprint arXiv:1512.08763},
year = {2015}
}