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arXiv · 2511.15845

Effects of Non-reciprocity on Coupled Kuramoto Oscillators

Shaon Mandal Chakraborty·Bibhut Sahoo·Peter Sollich·Rituparno Mandal
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Abstract

All the fundamental interactions (such as gravity or electromagnetic interactions) are reciprocal in nature. However, in the macroscopic world, in particular outside equilibrium, non-reciprocal or non-mutual interactions are quite ubiquitous. Understanding the impact of such non-reciprocal interactions has drawn a significant amount of interest in physics and other fields of sciences in recent years. We explore a non-reciprocal version of coupled oscillators (known as the Kuramoto model) with the aim of understanding the role of non-reciprocity, particularly in relation to chimera states, where oscillators spontaneously break into mutually synchronous and asynchronous groups. Our findings suggest that non-reciprocity not only alters the state diagram of the chimera state significantly but can also lead to new dynamical states, such as traveling chimera, run-and-chase and coexistence phases.

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Shaon Mandal Chakraborty, Bibhut Sahoo, Peter Sollich, Rituparno Mandal. 2025-11-19. Effects of Non-reciprocity on Coupled Kuramoto Oscillators. https://arxiv.org/abs/2511.15845

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