Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629073 | Applied Mathematics and Computation | 2013 | 12 Pages |
Abstract
In this paper, we study dynamics in a container crane model with delayed position feedback, with particular attention focused on non-resonant double Hopf bifurcation. By using multiple time scales and center manifold reduction methods, we obtain the equivalent normal forms near a double Hopf critical point in this neutral delayed differential system. Moreover, bifurcations are classified in a two-dimensional parameter space near the critical point. Numerical simulations are presented to demonstrate the applicability of the theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuting Ding, Weihua Jiang, Pei Yu,