Intermittent phase synchronization of coupled spatiotemporal chaotic systems

Area of Science:

• Complex Systems
• Nonlinear Dynamics
• Chaos Theory

Background:

• Phase synchronization is a key phenomenon in coupled dynamical systems.
• Understanding synchronization in discrete and autonomous systems is crucial for various scientific fields.
• Two-dimensional vector phases present unique challenges in synchronization studies.

Purpose of the Study:

• To investigate phase synchronization in a discrete system of two coupled map lattices.
• To analyze the emergence and characteristics of intermittent phase synchronization.
• To explore the relationship between intermittent phase synchronization and system properties like diffusion and attractor complexity.

Main Methods:

• Numerical simulations of two coupled map lattices with two-dimensional vector phases.
• Analysis of phase planes to identify synchronization patterns.
• Investigation of systems approaching phase synchronizing states.
• Examination of coupled autonomous systems with diffusive attractors.

Main Results:

• External coupling facilitates phase synchronization across all two-dimensional phase planes.
• Unstable phase synchronization, termed intermittent phase synchronization, is observed near the synchronizing state.
• Intermittent phase synchronization occurs with opposite rotational directions and small phase differences.
• This phenomenon is also found in coupled autonomous systems with inconsistent phase concepts.

Conclusions:

• Phase synchronization is achievable in discrete coupled map lattices through external coupling.
• Intermittent phase synchronization is a distinct state related to attractor diffusion and complexity.
• The findings extend the understanding of synchronization in both discrete and autonomous systems.