Collective dynamics of coupled Lorenz oscillators near the Hopf boundary: Intermittency and chimera states
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Summary
This summary is machine-generated.We found intermittent collective dynamics in coupled Lorenz oscillators near a Hopf bifurcation. This intermittent synchronization and chimera states occur across various network types.
Area Of Science
- Complex Systems
- Nonlinear Dynamics
- Network Science
Background
- Mutually coupled identical Lorenz oscillators near a subcritical Hopf bifurcation exhibit multistable behavior.
- Spatiotemporal dynamics include synchronization, desynchronization, and chimera states.
Purpose Of The Study
- Investigate collective dynamics in networks of coupled Lorenz oscillators.
- Analyze intermittent behavior and its implications for synchronization and chimera states.
Main Methods
- Analysis of coupled identical Lorenz oscillators near a subcritical Hopf bifurcation.
- Examination of ring topology with nearest-neighbor coupling.
- Study of various network topologies: nonlocal, scale-free, random, and small-world.
Main Results
- The system exhibits intermittent behavior due to complex basin structures and dynamical frustration.
- Oscillators switch between different attractors, leading to intermittently synchronized or desynchronized dynamics.
- Intermittent chimera states are observed.
- The characteristic time in the synchronization manifold decays as a power law.
- Intermittent dynamics are general and observed across diverse network topologies.
Conclusions
- Intermittent dynamics are a significant feature of coupled Lorenz oscillators near a subcritical Hopf bifurcation.
- These dynamics lead to novel phenomena like intermittent chimera states.
- The observed intermittent behavior is robust across various network structures.
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