40 citations · 51 across the 3 of their papers we have counts for
4 papers
Asymmetric integrable quad-graph equations
Peter E. Hydon, Claude-M. Viallet
Integrable difference equations commonly have more low-order conservation laws than occur for nonintegrable difference equations of similar complexity. We use this empirical observ…
Scattering of cosmic strings by black holes: loop formation
Florian Dubath, Mairi Sakellariadou, Claude Michel Viallet
We study the deformation of a long cosmic string by a nearby rotating black hole. We examine whether the deformation of a cosmic string, induced by the gravitational field of a Ker…
Algebraic Entropy for lattice equations
Claude Viallet
We give the basic definition of algebraic entropy for lattice equations. The entropy is a canonical measure of the complexity of the dynamics they define. Its vanishing is a signal…
Solvable Chaos
B. Grammaticos, A. Ramani, C. -M. Viallet
We present classes of discrete reversible systems which are at the same time chaotic and solvable.