AI Article Synopsis
- The study explores how a lattice of chaotic piecewise linear maps synchronize when the strength of their connections weakens with distance according to a power-law.
- Researchers calculate the Lyapunov spectrum for the coupled maps, providing insight into the system’s stability and chaos.
- The work analyzes the relationship between chaotic behavior across space and time and how it affects the synchronization of amplitudes and phases using numerical methods.
Article Abstract
We study the synchronization properties of a lattice of chaotic piecewise linear maps. The coupling strength decreases with the lattice distance in a power-law fashion. We obtain the Lyapunov spectrum of the coupled map lattice and investigate the relation between spatiotemporal chaos and synchronization of amplitudes and phases, using suitable numerical diagnostics.
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| http://dx.doi.org/10.1103/PhysRevE.65.056209 | DOI Listing |
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