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A Comparative Approach to Characterize the Landscape of Host-Pathogen Protein-Protein Interactions

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Published on: July 18, 2013

How do higher-order interactions shape the energy landscape?

Zheng Wang¹, Wenchang Qi¹, Jinjie Zhu¹

¹Nanjing University of Aeronautics and Astronautics, State Key Laboratory of Mechanics and Control for Aerospace Structures, College of Aerospace Engineering, Nanjing 210016, China.

Physical Review. E

|January 21, 2026

Summary

This summary is machine-generated.

Higher-order interactions in coupled oscillator networks expand stable states while contracting others. These complex dynamics reveal how network structure influences synchronization and stability, offering new control insights.

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Area of Science:

Complex systems
Network science
Nonlinear dynamics

Background:

Synchronization phenomena in coupled oscillator networks are fundamental to many natural and engineered systems.
Understanding the role of higher-order interactions beyond pairwise coupling is essential for a complete picture of network dynamics.
The energy landscape and stability of different network states are key to predicting system behavior.

Purpose of the Study:

To investigate the impact of triadic (higher-order) interactions on the energy landscape and synchronization states of coupled oscillator networks.
To analyze how these higher-order interactions influence the stability and basin sizes of different network configurations.
To explore the interplay between network structure, noise, and emergent synchronization patterns.

Main Methods:

Utilized a generalized Kuramoto model incorporating triadic interactions.
Employed deterministic basin analysis to map network state stability.
Incorporated noise-induced transition analysis and quantum annealing methods to study system dynamics.

Main Results:

Higher-order interactions exhibit a dual effect: expanding basins for nontwisted states while contracting those for twisted states.
Triadic coupling strengthens the stability of higher-winding-number and nontwisted states relative to synchronized states.
Observed significant stability asymmetry, where small-basin states can have deep potential wells, enhancing noise resistance.

Conclusions:

Findings extend quasipotential theory to high-dimensional networked systems with higher-order interactions.
The study provides novel insights into controlling synchronization in complex systems by tuning higher-order coupling.
Results highlight the critical role of network topology and interaction order in emergent collective behavior.