What happens when a network is neither perfectly ordered nor completely random? Watts & Strogatz’s 1998 “small-world” insight: add a few random shortcuts to a local network, you keep the clustering but gain short paths. 𝙎𝙩𝙖𝙮 𝙩𝙪𝙣𝙚𝙙, 𝙮𝙤𝙪 𝙢𝙖𝙮 𝙨𝙚𝙚 𝙢𝙤𝙧𝙚 𝙨𝙢𝙖𝙡𝙡-𝙬𝙤𝙧𝙡𝙙 𝙣𝙚𝙩𝙬𝙤𝙧𝙠𝙨 𝙞𝙣 𝙩𝙝𝙚 𝙉𝙚𝙩𝙎𝙘𝙞 𝙥𝙧𝙤𝙜𝙧𝙖𝙢 𝙨𝙤𝙤𝙣…
November 19, 2025 at 3:51 PM
What happens when a network is neither perfectly ordered nor completely random? Watts & Strogatz’s 1998 “small-world” insight: add a few random shortcuts to a local network, you keep the clustering but gain short paths. 𝙎𝙩𝙖𝙮 𝙩𝙪𝙣𝙚𝙙, 𝙮𝙤𝙪 𝙢𝙖𝙮 𝙨𝙚𝙚 𝙢𝙤𝙧𝙚 𝙨𝙢𝙖𝙡𝙡-𝙬𝙤𝙧𝙡𝙙 𝙣𝙚𝙩𝙬𝙤𝙧𝙠𝙨 𝙞𝙣 𝙩𝙝𝙚 𝙉𝙚𝙩𝙎𝙘𝙞 𝙥𝙧𝙤𝙜𝙧𝙖𝙢 𝙨𝙤𝙤𝙣…
Synchronization transitions and spike dynamics in a higher-order Kuramoto model with Lévy noise https://arxiv.org/pdf/2509.24554 Dan Zhao, Jürgen Kurths, Norbert Marwan, Yong Xu.
Synchronization transitions and spike dynamics in a higher-order Kuramoto model with Lévy noise https://arxiv.org/pdf/2509.24554 Dan Zhao, Jürgen Kurths, Norbert Marwan, Yong Xu.