Related Experiment Video
Updated: Jul 13, 2026

4D Printed Bifurcated Stents with Kirigami-Inspired Structures
Published on: July 25, 2019
Codimension-three bifurcations: explanation of the complex one-, two-, and three-dimensional bifurcation structures
Viktor Avrutin1, Michael Schanz, Soumitro Banerjee
1IPVS, University of Stuttgart, Universitätstrasse 38, 70569 Stuttgart, Germany.
Abstract:
Many physical and engineering systems exhibit cascades of periodic attractors arranged in period increment and period adding sequences as a parameter is varied. Such systems have been found to yield piecewise smooth maps, and in some cases the obtained map is discontinuous. By investigating the normal form of such maps, we have detected a type of codimension-three bifurcation which serves as the organizing center of periodic and aperiodic dynamics in the parameter space. The results will help in understanding the occurrence and structure of such cascades observed in many nonsmooth systems in science and engineering.
More Related Videos
Related Concept Videos
Divergence Theorem in 3D Space
Level Curves and Contour Maps
Curvature and Its Interpretation
Quadric Surfaces
Continuity for Functions of Multiple Variables
Functions of Three or More Variables

