Metamorphoses and explosively remote synchronization in dynamical networks
Yong-Shang Long1, Zheng-Meng Zhai1, Ming Tang1
1State Key Laboratory of Precision Spectroscopy and School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China.
Chaos (Woodbury, N.Y.)
|April 30, 2022
Summary
In coupled nonlinear networks, a symmetry causes synchronization to abruptly shift. This synchronization metamorphosis leads to an explosive transition to remote synchronization in previously unconnected nodes.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Network science
Background:
- Coupled nonlinear networks exhibit complex behaviors, including synchronization.
- Symmetry plays a crucial role in dictating network dynamics.
- Remote synchronization and explosive synchronization have been studied as separate phenomena.
Purpose of the Study:
- To investigate the interplay between symmetry and synchronization in coupled nonlinear networks.
- To uncover novel synchronization phenomena arising from symmetry-induced bifurcations.
- To demonstrate the co-occurrence of explosive and remote synchronization in a single system.
Main Methods:
- Analysis of coupled nonlinear network models.
- Bifurcation analysis to identify critical parameter values.
- Numerical simulations to observe synchronization dynamics.
Main Results:
- A critical parameter change triggers an abrupt deterioration of synchronization in one subset of nodes.
- Simultaneously, perfect synchronization emerges in a different, non-directly connected subset of nodes.
- This phenomenon, termed synchronization metamorphosis, demonstrates an explosive transition to remote synchronization.
Conclusions:
- Symmetry in coupled nonlinear networks can lead to synchronization metamorphosis.
- Explosive onset of synchrony and remote synchronization can co-arise in the same system due to symmetry.
- The interplay between nonlinear dynamics and symmetry generates surprising phenomena in physical systems.
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