Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417051 | Journal of Differential Equations | 2016 | 32 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
G. Fuhrmann,