The existence of periodic solutions in Γ-symmetric Newtonian systems x¨=−∇ f (x) can be
effectively studied by means of the Γ× O (2)-equivariant gradient degree with values in the …

We study equations for the mechanical movement of chains of identical particles in the plane
interacting with their nearest-neighbors by bond stretching and by van der Waals and …

We examine the existence and properties of charge flipping vortices (CFVs), vortices which
periodically flip the topological charge, in three-site (trimer) and six-site (hexamer) discrete …

We study periodic solutions of the discrete nonlinear Schrödinger equation (DNLSE) that
bifurcate from a symmetric polygonal relative equilibrium containing n sites. With specialized …

The wave equation on network is defined by ∂ _ tt u= Δ _ G u+ g (u)∂ tt u= Δ G u+ g (u),
where u ∈ R^ nu∈ R n and the graph Laplacian Δ _ G Δ G is an operator on functions on n …

The discrete nonlinear Schrödinger equations of n sites are studied with periodic boundary
conditions. These equations have n branches of standing waves that bifurcate from zero …

The existence of traveling and standing waves is investigated for chains of coupled pendula
with periodic boundary conditions. The results are proven by applying topological methods …

In this paper we present a summary of the last works of Jorge Ize regarding the global
bifurcation of periodic solutions from the equilibria of a satellite attracted by n primary …

EXISTENCE AND BIFURCATION OF PERIODIC SOLUTIONS IN SECOND ORDER
NONLINEAR SYSTEMS: BROUWER EQUIVARIANT DEGREE METHOD by Shi Yu A Page …