广义Lotka-Volterra模型中涌现的非厄米物理
Emergent non-Hermitian physics in generalized Lotka-Volterra model
AI总结：
本文研究广义Lotka-Volterra捕食者-猎物模型中的非厄米物理，发现混沌与局域动力学由临界点分隔，其源于有效哈密顿量的周期性与非厄米性，临界点行为对应非厄米物理中的奇异点。
摘要：
本文研究由广义Lotka-Volterra方程描述的捕食者-猎物生态模型中所涌现的非厄米物理。在相空间中，该非线性方程展现出混沌和局域两种动力学，二者由临界点分隔。这些不同的动力学源于线性化运动方程中有效哈密顿量的周期性与非厄米性之间的相互作用。此外，临界点处的动力学（如代数发散）可在非厄米物理背景下理解为奇异点。
英文摘要：
In this paper, we study the non-Hermitian physics emerging from a predator-prey ecological model described by a generalized Lotka-Volterra equation. In the phase space, this nonlinear equation exhibits both chaotic and localized dynamics, which are separated by a critical point. These distinct dynamics originate from the interplay between the periodicity and non-Hermiticity of the effective Hamiltonian in the linearized equation of motion. Moreover, the dynamics at the critical point, such as algebraic divergence, can be understood as an exceptional point in the context of non-Hermitian physics.
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