Control of chimera states via adaptive higher-order interactions

Area of Science:

• Complex Networks
• Nonlinear Dynamics
• Statistical Physics

Background:

• Higher-order interactions are crucial in complex systems.
• Coupling adaptation's role in chimera states within these networks is understudied.

Purpose of the Study:

• Investigate chimera states in adaptive higher-order interaction networks.
• Analyze the impact of coupling adaptation on network dynamics.

Main Methods:

• Utilized Kuramoto phase oscillators with first- and second-order interactions.
• Examined nonlocal and small-world network topologies.
• Incorporated adaptive coupling mechanisms.

Main Results:

• Adaptive coupling can induce chimera states from synchronous states and vice-versa.
• Small-world networks show a larger parameter region for chimera states.
• Network topology realization randomness influences chimera state emergence.

Conclusions:

• Coupling adaptation offers a novel method for controlling chimera states in higher-order networks.
• Network topology significantly impacts the occurrence and stability of chimera states.