Exploring the Interplay of Excitatory and Inhibitory Interactions in the Kuramoto Model on Circle Topologies

Autor:	Díaz-Guilera, Albert, Marinelli, Dimitri, Pérez-Vicente, Conrad J.
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Adaptation and Self-Organizing Systems Condensed Matter - Disordered Systems and Neural Networks Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	In the field of collective dynamics, the Kuramoto model serves as a benchmark for the investigation of synchronization phenomena. While mean-field approaches and complex networks have been widely studied, the simple topology of a circle is still relatively unexplored, especially in the context of excitatory and inhibitory interactions. In this work, we focus on the dynamics of the Kuramoto model on a circle with positive and negative connections paying attention to the existence of new attractors different from the synchronized state. Using analytical and computational methods, we find that even for identical oscillators, the introduction of inhibitory interactions significantly modifies the structure of the attractors of the system. Our results extend the current understanding of synchronization in simple topologies and open new avenues for the study of collective dynamics in physical systems. Comment: 11 pages, 9 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2402.12481 Zobrazit plný text záznamu View this record from Arxiv