Enhancing coherence via tuning coupling range in nonlocally coupled Stuart-Landau oscillators

Area of Science:

• Nonlinear dynamics
• Complex systems
• Network science

Background:

• Nonlocal coupling is crucial for understanding chimera states in nonlinear oscillators.
• Previous studies primarily examined nonlocally coupled systems with similar variables.

Purpose of the Study:

• Investigate dynamical behaviors in nonlocally coupled Stuart-Landau oscillators using conjugate variable feedback.
• Explore transitions between different dynamical states, including oscillation death and amplitude death.

Main Methods:

• Utilized rigorous analysis to study nonlocally coupled Stuart-Landau oscillators.
• Applied conjugate variables feedback to explore system dynamics.
• Examined the influence of coupling range on emergent behaviors.

Main Results:

• Discovered that oscillation death transitions to amplitude death through cluster states as coupling range increases.
• Demonstrated infinite expansion of amplitude death regions with natural frequency and coupling strength.
• Observed amplitude-mediated chimera inducing anti-synchronization from limit cycle oscillation regions.

Conclusions:

• Nonlocal coupling enhances coherence among neighboring oscillators.
• The study reveals novel transitions between dynamical states in coupled oscillator systems.
• Findings contribute to the understanding of complex dynamics in networks.