We perform volume analysis of Multiplicative Weights Updates (MWU) and its optimistic
variant (OMWU) in zero-sum as well as coordination games. Our analysis provides new …

Dynamical systems that are invariant under the action of a non-trivial symmetry group can
possess structurally stable heteroclinic cycles. In this paper, we study stability properties of a …

Coupled populations of identical phase oscillators with higher-order interactions can give
rise to heteroclinic cycles between invariant sets where populations show distinct …

The stability of heteroclinic cycles may be obtained from the value of the local stability index
along each connection of the cycle. We establish a way of calculating the local stability index …

Heteroclinic networks and cycles are invariant sets comprised of interacting nodes
connected by heteroclinic trajectories. Often the sets are not asymptotically stable but attract …

Evolutionary game dynamics is a combination of game theory and dynamical systems.
Using dynamical theory, we investigate chaotic behavior in asymmetric Rock-Paper …

We address the level of complexity that can be observed in the dynamics near a robust
heteroclinic network. We show that infinite switching, which is a path towards chaos, does …

Heteroclinic cycles, unions of equilibria and connection trajectories, can be structurally
stable in a Γ-equivariant system due to the existence of invariant subspaces. A structurally …

We study heteroclinic networks in $\mathbb {R}^ 4$, made of a certain type of simple robust
heteroclinic cycle. In simple cycles all the connections are of saddle-sink type in two …

This article is concerned with three heteroclinic cycles forming a heteroclinic network in R 6.
The stability of the cycles and of the network is studied. The cycles are of a type that has not …