Independent-noise provoked spiking, synchronized via coupling

Area of Science:

• Electrochemistry
• Nonlinear Dynamics
• Stochastic Processes

Background:

• Electrochemical systems can exhibit complex dynamics, including excitable behavior near bifurcations.
• Coupling between systems can lead to emergent phenomena like synchronization.
• Stochastic signals can influence the dynamics of nonlinear systems.

Purpose of the Study:

• To investigate synchronized spiking phenomena in bidirectionally coupled electrochemical systems.
• To explore the role of independent stochastic input signals in driving synchronization.
• To identify conditions (coupling strength, noise level) that promote synchronized spiking.

Main Methods:

• Experimental and numerical modeling of two diffusively coupled electrochemical systems.
• Perturbation of anodic potentials with independent noise signals.
• Analysis of oscillatory dynamics using normalized variance and cross-correlation coefficients.

Main Results:

• Evidence of synchronized spiking phenomena was observed in the coupled systems.
• Specific regions of coupling strength and external noise levels were identified that exhibit synchronization.
• The interaction of stochastic inputs with coupled excitable systems can induce synchronized oscillations.

Conclusions:

• Bidirectionally coupled electrochemical systems can achieve synchronized spiking under independent stochastic forcing.
• The study provides a framework for understanding noise-induced synchronization in coupled nonlinear systems.
• Findings have implications for controlling and predicting collective behavior in electrochemical and other complex systems.