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- W3129277497 abstract "Living systems can exhibit time-scales much longer that those of the underlying components, as well as emergent dynamical and collective behavior. How such robust global behavior is subserved by stochastic constituents remains unclear. Here, we present biologically-plausible motifs from which two-dimensional stochastic networks can be constructed. The motifs represent out-of-equilibrium cycles on the microscopic scale, which support macroscopic edge currents in configuration space. This behavior is qualitatively different from previous proposals for topological states in stochastic networks and other classical systems, and can be understood using the framework of non-Hermitian physics. Topological properties of the system are seen in the emergence of exceptional points or the non-zero vorticity and doubled periodicity of edge states. Our framework enables a wealth of dynamical phenomena such as a global clock, dynamical growth and de-growth, as well as synchronization, similar to observations that are quite prevalent in biology. Our models suggest new insights into the theoretical framework of non-Hermitian physics, and pave the way for the prediction of new states in both classical and quantum systems." @default.
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- W3129277497 date "2021-02-01" @default.
- W3129277497 modified "2023-10-14" @default.
- W3129277497 title "Topology Protects Robust Global Cycles in Stochastic Systems" @default.
- W3129277497 doi "https://doi.org/10.1016/j.bpj.2020.11.1419" @default.
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