5 papers · 1 filter
A Symmetry-Based Classification of Synchrony in Tree Networks
Nicolas Brito, Miriam Manoel
Coupled cell systems model interacting dynamical units and provide a natural framework for studying synchrony phenomena arising from collective behavior. Graph symmetries often ind…
Synchrony patterns in Laplacian networks
Tiago Amorim, Miriam Manoel
A network of coupled dynamical systems is represented by a graph whose vertices represent individual cells and whose edges represent couplings between cells. Motivated by the impac…
Recognition of symmetries in reversible maps
Patrícia H. Baptistelli, Isabel S. Labouriau, Miriam Manoel
We deal with germs of diffeomorphisms that are reversible under an involution. We establish that this condition implies that, in general, both the family of reversing symmetries an…
Normal forms of bireversible vector fields
P. H. Baptistelli, M. Manoel, I. O. Zeli
In this paper we adapt the method of [P. H. Baptistelli, M. Manoel and I. O. Zeli. Normal form theory for reversible equivariant vector fields. Bull. Braz. Math. Soc., New Series 4…
Invariants and relative invariants under compact Lie groups
Patricia H. Baptistelli, Miriam Manoel
This paper presents algebraic methods for the study of polynomial relative invariants, when the group G formed by the symmetries and relative symmetries is a compact Lie group. We…