Drift of sparse and dense spiral waves under joint external forces

Area of Science:

• Nonlinear dynamics
• Complex systems

Background:

• Spiral waves are dynamic patterns observed in various natural and artificial systems.
• Understanding and controlling spiral wave drift is crucial for applications in fields like neuroscience and chemical reactions.
• Previous studies on spiral wave drift induced by external forces are incomplete.

Purpose of the Study:

• To investigate and control the drift dynamics of spiral waves using joint external forces.
• To synchronize sparse and dense spiral waves using external current.
• To analyze the directional drift of synchronized spirals under weak currents or heterogeneity.

Main Methods:

• Employing joint external forces to influence spiral wave dynamics.
• Synchronizing sparse and dense spiral waves with a suitable external current.
• Applying a secondary weak current or heterogeneity to induce directional drift.
• Studying the dependence of drift velocity on the strength and frequency of the joint external force.

Main Results:

• Successful synchronization of sparse and dense spiral waves was achieved.
• Synchronized spiral waves exhibited controlled, directional drift.
• The drift velocity was found to be dependent on the strength and frequency of the applied joint external force.

Conclusions:

• Joint external forces offer a viable method for controlling spiral wave drift dynamics.
• The findings provide a deeper understanding of spiral wave behavior under external influences.
• This research paves the way for enhanced manipulation of complex wave patterns.