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cond-mat.stat-mech2020★ 44 cited
Topological phase transition in coupled rock-paper-scissor cycles
Johannes Knebel, Philipp M. Geiger, Erwin Frey
A hallmark of topological phases is the occurrence of topologically protected modes at the system`s boundary. Here we find topological phases in the antisymmetric Lotka-Volterra eq…
cond-mat.stat-mech2018★ 17 cited
Topologically robust zero-sum games and Pfaffian orientation -- How network topology determines the long-time dynamics of the antisymmetric Lotka-Volterra equation
Philipp M. Geiger, Johannes Knebel, Erwin Frey
To explore how the topology of interaction networks determines the robustness of dynamical systems, we study the antisymmetric Lotka-Volterra equation (ALVE). The ALVE is the repli…