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Toroidal normal forms for bifurcations in retarded functional differential equations II: Saddle-node/multiple Hopf interaction
Younsun Choi, Victor G. LeBlanc
In this paper, we study the realizability problem for retarded functional differential equations near an equilibrium point undergoing a nonlinear mode interaction between a saddle-…
math.DS2005
Toroidal normal forms for bifurcations in retarded functional differential equations I: Multiple Hopf and transcritical/multiple Hopf interaction
Younsun Choi, Victor G. LeBlanc
For finite-dimensional bifurcation problems, it is well-known that it is possible to compute normal forms which possess nice symmetry properties. Oftentimes, these symmetries may a…