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 …

Despite the extensive studies of topological states, their characterization in strongly
nonlinear classical systems has been lacking. In this work, we identify the proper definition …

We investigate the global dynamics of the Lotka-Volterra systems with anti-symmetric
interactions. We prove that the dynamics of system can be determined by some associated …

Out of thermal equilibrium, bosonic quantum systems can undergo Bose condensation away
from the ground state, featuring a macroscopic occupation of an excited state or even of …

We study a system of ordinary differential equations in that is used as a model both in
population dynamics and in game theory and is known to exhibit a heteroclinic network …

Studies of topological bands and their associated low-dimensional boundary modes have
largely focused on linear systems. This work reports robust dynamical features of three …

Spatiotemporal patterns are often modeled using reaction-diffusion equations, which
combine complex reactions between constituents with ideal diffusive motion. Such …

Complex systems with global interactions tend to be stable if interactions between
components are sufficiently homogeneous. In biological systems, which often have small …

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We consider different anti-symmetric Lotka–Volterra systems governing the pairwise
interactions among the same n species inhabiting m spatially discrete habitat patches, with …