Talks and Poster Presentations (without Proceedings-Entry):
A. Steindl:
"Birth of a Shilnikov orbit in a Hopf-Takens-Bogdanov interaction";
Talk: Exploiting Nonlinear Dynamics for Engineering Systems,
Novi Sad;
2018-07-15
- 2018-07-19.
English abstract:
Close to a Hopf-Takens-Bogdanov bifurcation symmetric and asymmetric Shilnikov orbits were observed numerically.
Using continuation in the unfolding parameters these orbits could be traced until close to their origin, which corresponds to a Branch
Point of Cycles (BPC), where a mixed mode oscillation bifurcates from the primary branch of periodic solutions. Applying local
bifurcation theory at this point, analytical estimates for the birth of a symmetric heteroclinic orbit can be obtained.
Keywords:
Mode Interaction, Shilnikov szenario, Normal Forms
Created from the Publication Database of the Vienna University of Technology.