Year: 2026
Type: article
Abstract: How higher-order interactions reorganize chaotic responses beyond established coherence-based descriptions remains incompletely resolved. In amplitude-active systems, such responses are often interpreted through phase coherence, although coherence alone does not determine collective instability. Here, we study a minimal globally coupled quartet of nonisochronous Stuart-Landau oscillators with pairwise and symmetric three-body interactions. Because the pairwise system already supports a connected chaotic branch, the higher-order channel reconstructs rather than creating irregular dynamics. We show that this reconstruction is organized more directly by effective-frequency shear than by phase coherence. Higher-order coupling regulates amplitude heterogeneity, nonisochronicity converts it into differential angular velocities, and the resulting shear structures the Lyapunov response. This reduced shear-based description reveals an indirect amplitude-shear pathway for higher-order control of chaotic dynamics.
DOI: 10.1063/5.0342399
Author: Kaiming Luo
Institution: Fudan University
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7153306733