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4 papers · 1 filter
Hopf decomposition and horospheric limit sets
Vadim A. Kaimanovich
By looking at the relationship between the recurrence properties of a countable group action with a quasi-invariant measure and the structure of its ergodic components we establish…
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…
Equivariant versal unfoldings for linear retarded functional differential equations
Pietro-Luciano Buono, Victor G. LeBlanc
We continue our investigation of versality for parametrized families of linear retarded functional differential equations (RFDEs) projected onto finite-dimensional invariant manifo…
Versal unfoldings for linear retarded functional differential equations
Pietro-Luciano Buono, Victor G. LeBlanc
We consider parametrized families of linear retarded functional differential equations (RFDEs) projected onto finite-dimensional invariant manifolds, and address the question of ve…