2 citations · 4 across the 6 of their papers we have counts for
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Hidden symmetry in a Kuramoto-Sivashinsky initial-boundary value problem
Pietro-Luciano Buono, Lennaert van Veen, Eryn Frawley
We investigate the bifurcation structure of the Kuramoto-Sivashinsky equation with homogeneous Dirichlet boundary conditions. Using hidden symmetry principles, based on an extended…
Dn Symmetric Hamiltonian System: A Network of Coupled Gyroscopes as a Case Study
Pietro Luciano Buono, Bernard S. Chan, Antonio Palacios +1
The evolution of a large class of biological, physical and engineering systems can be studied through both dynamical systems theory and Hamiltonian mechanics. The former theory, in…
On the zero set of G-equivariant maps
P-L. Buono, M. Helmer, J. S. W. Lamb
Let be a finite group acting on vector spaces and and consider a smooth -equivariant mapping . This paper addresses the question of the zero set near a zer…
Realization of critical eigenvalues for scalar and symmetric linear delay-differential equations
Pietro-Luciano Buono, Victor G. LeBlanc
This paper studies the link between the number of critical eigenvalues and the number of delays in certain classes of delay-differential equations. There are two main results. The…
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…